Academic literature on the topic 'Model matriciel'

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Journal articles on the topic "Model matriciel"

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POPESCU, Ionel, Lică FLORE, and Albert ARNAU CUBILLO. "DERIVATION OF MASS, STIFFNESS AND DAMPING MATRICES OF A MODEL WING FROM EXPERIMENTAL MODAL DATA." SCIENTIFIC RESEARCH AND EDUCATION IN THE AIR FORCE 19, no. 1 (July 31, 2017): 323–30. http://dx.doi.org/10.19062/2247-3173.2017.19.1.39.

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Lenczewski, Romuald. "Matricial circular systems and random matrices." Random Matrices: Theory and Applications 05, no. 04 (October 2016): 1650012. http://dx.doi.org/10.1142/s201032631650012x.

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We introduce and study matricial circular systems of operators which play the role of matricial counterparts of circular operators. They describe the asymptotic joint *-distributions of blocks of independent block-identically distributed Gaussian random matrices with respect to partial traces. Using these operators, we introduce circular free Meixner distributions as the non-Hermitian counterparts of free Meixner distributions and construct for them a random matrix model. Our approach is based on the concept of matricial freeness applied to operators on Hilbert spaces. It is closely related to freeness with amalgamation over the algebra [Formula: see text] of [Formula: see text] diagonal matrices applied to operators on Hilbert [Formula: see text]-bimodules.
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Minas, C., and D. J. Inman. "Matching Finite Element Models to Modal Data." Journal of Vibration and Acoustics 112, no. 1 (January 1, 1990): 84–92. http://dx.doi.org/10.1115/1.2930103.

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A technique is proposed which systematically adjusts a finite element model of a structure to produce an updated model in agreement with measured modal results. The approach suggested here is to consider the desired perturbations in stiffness and damping matrices as gain matrices in a feedback control algorithm designed to perform eigenstructure assignment. The improved stiffness and damping matrices combined with the analytical mass matrix, more closely predict the modal test results. The technique is applicable to undamped, proportionally damped, as well as non-proportionally damped models. The proposed method assumes that the analytical mass, damping and stiffness matrices are known and that vibration test data is available in the form of natural frequencies, damping ratios, and mode shapes.
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Fendley, Paul, and Nicholas Read. "ExactS-matrices for supersymmetric sigma models and the Potts model." Journal of Physics A: Mathematical and General 35, no. 50 (December 2, 2002): 10675–704. http://dx.doi.org/10.1088/0305-4470/35/50/301.

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Barauskas, R. "Optimum Mass Matrices for Short Wave Pulse Propagation Finite Element Models." Nonlinear Analysis: Modelling and Control 8, no. 2 (July 25, 2003): 3–25. http://dx.doi.org/10.15388/na.2003.8.2.15180.

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The matrices of a substructure ensuring minimum modal errors of the whole structure are obtained by using optimization approach. The mass and stiffness matrices of a small component domain of selected dimension are obtained by applying the modal synthesis of a limited number of closeto-exact modes such that after assembling a larger joined domain model the modal convergence rate of the latter should be as high as possible. The goal is achieved by formulating the minimization problem for the penaltytype target function representing the cumulative relative modal error of the joined domain and by applying the gradient descent minimization method. After the optimum matrices of a component domain are obtained, they can be used in any structure as higher-order elements or super-elements. The “combined” mass matrices can be treated as a special case of the presented approach. The performance of the obtained dynamic models is demonstrated by solving short wave pulse propagation problems by using a only few nodal points per pulse length.
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Yuan, Yongxin. "Structural Dynamics Model Updating with Positive Definiteness and No Spillover." Mathematical Problems in Engineering 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/896261.

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Model updating is a common method to improve the correlation between structural dynamics models and measured data. In conducting the updating, it is desirable to match only the measured spectral data without tampering with the other unmeasured and unknown eigeninformation in the original model (if so, the model is said to be updated with no spillover) and to maintain the positive definiteness of the coefficient matrices. In this paper, an efficient numerical method for updating mass and stiffness matrices simultaneously is presented. The method first updates the modal frequencies. Then, a method is presented to construct a transformation matrix and this matrix is used to correct the analytical eigenvectors so that the updated model is compatible with the measurement of the eigenvectors. The method can preserve both no spillover and the symmetric positive definiteness of the mass and stiffness matrices. The method is computationally efficient as neither iteration nor numerical optimization is required. The numerical example shows that the presented method is quite accurate and efficient.
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Lee, Eun-Taik, and Hee-Chang Eun. "Update of parameter matrices of the dynamic system using the least-squares approach." Advances in Mechanical Engineering 11, no. 11 (November 2019): 168781401989080. http://dx.doi.org/10.1177/1687814019890806.

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Model-based responses rarely coincide with the actual responses owing to modeling and measurement errors, deterioration of structural performance, and presence of damages in the structure. The parameter matrices should be updated for successful subsequent analysis and design efforts. This study derives the mathematical forms of variations in the parameter matrices between the actual system and the analytical model. A method using the least-squares principle constrained by the measured modal data is presented. The method is directly derived by minimizing the performance indices expressed by the norm of the variation in the parameter matrices between the actual system and the analytical model. The proposed update methods predict the updated parameter matrices depending on the prescribed weighting matrices and detect damages from the predicted parameter matrix variations. Examples compare the methods depending on the established weighting matrices, the number of measurement data sets of the first modal data only and the lowest two modal data. This study also investigates the effect of external noise contained in the measured data.
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Vanrolleghem, Peter A., and Karel J. Keesman. "Identification of Biodegradation models under model and data uncertainty." Water Science and Technology 33, no. 2 (January 1, 1996): 91–105. http://dx.doi.org/10.2166/wst.1996.0040.

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In this paper a number of nonlinear parameter estimation methods are evaluated with respect to their ability to identify biodegradation models from “real-world” data. Important aspects are then the sensitivity to local minima, rate of convergence, required prior knowledge and direct or indirect availability of parameter estimates uncertainty. Furthermore, it is important whether a method is robust against invalid assumptions. In addition to the final parameter values, covariance and correlation matrices, confidence intervals and residual sequences are presented to obtain information about the validity of the models and noise assumptions. Finally, recommendations on the method's applicability range are provided.
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Hwang, Jae-Seung, Hongjin Kim, and Bong-Ho Cho. "Modal Parameters Estimation of Building Structures from Vibration Test Data Using Observability Measurement." Shock and Vibration 2015 (2015): 1–13. http://dx.doi.org/10.1155/2015/627852.

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The load distribution to each mode of a structure under seismic loading depends on the modal participation factors and mode shapes and thus the exact estimation of modal participation factors and mode shapes is essential to analyze the seismic response of a structure. In this study, an identification procedure for modal participation factors and mode shapes from a vibration test is proposed. The modal participation factors and mode shapes are obtained from the relationship between observability matrices realized from the system identification. Using the observability matrices, it is possible to transform an arbitrarily identified state space model obtained from the experimental data into a state space model which is defined in a domain with physical meaning. Then, the modal participation factor can be estimated based on the transformation matrix between two state space models. The numerical simulation is performed to evaluate the proposed procedure, and the results show that the modal participation factor and mode shapes are estimated from the structural responses accurately. The procedure is also applied to the experimental data obtained from the shaking table test of a three-story shear building model.
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Nadi, Azin, and Mehdi Raghebi. "Finite element model of circularly curved Timoshenko beam for in-plane vibration analysis." FME Transactions 49, no. 3 (2021): 615–26. http://dx.doi.org/10.5937/fme2103615n.

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Curved beams are used so much in the arches and railway bridges and equipments for amusement parks. There are few reports about the curved beam with the effects of both the shear deformation and rotary inertias. In this paper, a new finite element model investigates to analyze In-Plane vibration of a curved Timoshenko beam. The Stiffness and mass matrices of the curved beam element was obtained from the force-displacement relations and the kinetic energy equations, respectively. Assembly of the elemental property matrices is simple and without need to transformation matrix because of using the local polar coordinate system. The natural frequencies of curved Euler-Bernoulli beam with large thickness are not sufficiently accurate. In this case, using the curved Timoshenko beam element is necessary. Moreover, the influence of vibration absorber is discussed on the natural frequencies of the curved beam.
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Dissertations / Theses on the topic "Model matriciel"

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Kielbassa, Janice. "Mathematical modelling of temperature effects on the life-history traits and the population dynamics of bullhead (Cottus gobio)." Thesis, Lyon 1, 2010. http://www.theses.fr/2010LYO10181.

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La température de l'eau joue un rôle majeur dans le cycle de vie des poissons. Dans un contexte de changement climatique global, le réchauffement peut avoir un impact fort sur la croissance, la fécondité et la survie. L'enjeu de cette thèse est la modélisation mathématique de l'influence de la température sur les traits d'histoire de vie d'une population de chabot (Cottus gobio) afin de faire de la prédiction à la fois au niveau individuel et populationnel. Les données expérimentales qui permettront de calibrer les modèles sont issues du bassin de la Drôme (France) et plus particulièrement du sous-bassin du Bez. Dans une première étape, il s'agit de développer un modèle de rétrocalcul qui peut être utilisé pour calculer les longueurs individuelles des chabots aux âges précédents à partir des données mesurées à la capture. Il s'agit, dans un deuxième temps, de développer un modèle de croissance dépendant de la température de l'eau qui sert à prédire la longueur moyenne des chabots à un âge donné. Enfin, il s'agit de passer de l'échelle de l'individu à celle de la population en prenant en compte tous les traits d'histoire de vie et leurs dépendances vis-à-vis de la température. Plus précisément, un modèle matriciel de type Leslie, à la fois dépendant du temps et de la température, structuré en classe d'âges est développé et utilisé pour prédire la dynamique de population sous différents scénario du réchauffement climatique
Water temperature plays a key role in the life cycle of fish. Therefore, increasing temperatures due to the expected climate change may have a strong impact on growth, fecundity and survival. The goal of this thesis is to model the impact of temperature on the life-history traits of a bullhead population (Cottus gobio) in order to make predictions both at individual and at population level. The models developed here are calibrated on experimental field data from a population living in the Bez River network (Drôme, France). First, a new back-calculation model is derived that can be used to compute individual fish body lengths at earlier ages from capture data. Next, a growth model is proposed that incorporates the water temperature and can be used to predict the mean length at a given age and temperature. Finally, the population is modelled as a whole by linking all life-history traits to temperature. For this purpose, a spatialised time- and temperature-dependent Leslie matrix model structured in age classes was used to predict the population dynamics under different temperature scenarios
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Robert, Christian P. "Résultats nouveaux sur les estimateurs à rétrecisseurs scalaires et matriciels." Rouen, 1987. http://www.theses.fr/1987ROUES029.

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Dans le cadre du modèle statistique linéaire, cette thèse apporte certaines améliorations à la théorie des estimateurs à rétrécisseur à l'aide de techniques d'intégration par parties généralisée. Elle élargit tout d'abord les champs d'application de cette théorie (lois à symétrie sphérique, fonctions de rétrécissement de plusieurs variables, non nécessairement continues, opérateurs vectoriels de rétrécissement quelconques, estimateurs "bimatriciels",. . . ). Nous proposons également des méthodes de sélection parmi les classes d'estimateurs à rétrécisseur (condition nécessaire d'admissibilité, conditions suffisantes de domination par des estimateurs appartenant à des classes données,. . . ), montrant en particulier l'intérêt des estimateurs à rétrécisseur matriciel dans les situations de multicolinéarité
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Aubry, Lise Myriam. "Influence du recrutement sur les variations des paramètres démographiques avec l'âge et la vitesse de sénescence chez la mouette tridactyle, Rissa tridactyla." Toulouse 3, 2009. http://thesesups.ups-tlse.fr/1581/.

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J'ai utilisé une étude de 30 ans portant sur une espèce d'oiseau marin longévif (la mouette tridactyle) afin d'étudier les compromis évolutifs entre recrutement, reproduction, et survie. Mes résultats indiquent que l'âge à la première reproduction et la sélection de l'habitat sont intimement liés, et que l'âge au recrutement influence également les trajectoires de survie et de reproduction. D'autres sources d'hétérogénéité observée (investissement reproducteur) et non-observée ('frailty') agissent également sur la survie et la reproduction au cours de la vie. Les recrues d'âge intermédiaire (âge = 5) maintiennent un succès reproducteur élevé au cours de la vie et minimisent le déclin des chances de survie avec l'âge par rapport aux autres recrues. Même si les mesures de fitness individuelles indiquent que le recrutement précoce est la plus avantageuse des stratégies, les coûts associés au différé du recrutement semblent minimes
I used a 30-year study of long-lived seabirds (black-legged Kittiwakes) that breed in Brittany to study the evolution of trade-offs between early-life breeding decisions, future reproduction, and survival. I first found that recruitment age and habitat selection were intimately linked. Recruitment age further influenced breeding success and survival trajectories. Furthermore, sources of observed (reproductive covariates, experience) and unobserved heterogeneity (frailty) explained substantial amounts of variability in breeding success and survival. Overall, intermediate age recruits (age 5) seemed to maintain high breeding success over life and minimized senescence in survival compared to other recruits. Even though individual fitness showed that earlier recruitment was the most beneficial recruitment strategy, the costs associated to delayed recruitment seemed minimal
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FRANTZ, REMY. "Processeurs optiques d'algebre lineaire : etude de synthese, description fonctionnelle et simulation numerique d'une maquette de coprocesseur." Université Louis Pasteur (Strasbourg) (1971-2008), 1989. http://www.theses.fr/1989STR13030.

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Description du fonctionnement d'un processeur vectoriel optique et etablissement de son modele physique. Par simulation numerique, les limites de son fonctionnement sont analysees et ses performances determinees
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Hadjou, Belaid Asma. "Démographie et réponses adaptatives des populations végétales aux changements environnementaux." Thesis, Montpellier, 2018. http://www.theses.fr/2018MONTG034/document.

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La région méditerranéenne, hot-spot de biodiversité avec un fort taux d'endémisme, est classée parmi les zones les plus touchées par le changement climatique. La conservation des espèces nécessite de comprendre finement leur démographie face à ces changements, mais aussi leur capacité à s’adapter à ces nouvelles conditions. Au cours de cette thèse, deux espèces végétales rares méditerranéennes ont été étudiées, Centaurea corymbosa et Brassica insularis, en utilisant des modèles mathématiques récents pour analyser des suivis démographiques de long-terme (22 ans et 18 ans). Dans la première partie de cette thèse, des modèles de projection matriciels ont été construits afin d’analyser la variation spatio-temporelle des taux d’accroissement des populations de C. corymbosa. Cela a permis d'identifier les facteurs climatiques clefs qui impactent les taux d’accroissement des populations, et plus finement, les paramètres de survie, de floraison et de fécondité. Une analyse de viabilité des populations a été réalisée sous différents scénarios climatiques. Dans un second temps, une analyse de la capacité des populations de C. corymbosa à répondre à ces changements climatiques a été effectuée avec un modèle de projection intégral. Les changements des traits d’histoire de vie au cours du temps ont montré que la stratégie de floraison observée répond aux variations climatiques en suivant la même direction que la stratégie optimale. Ceci montre que les populations sont capables de s’adapter au changement climatique. Enfin, des modèles de capture-recapture (CR) ont été construits afin de déterminer l’influence de la faible détectabilité des individus sur l’estimation des paramètres démographiques chez B. insularis. Les probabilités de survie estimées par l’approche classique sont inférieures à celles estimées par les modèles CR. Les paramètres estimés par les deux approches sont en général très corrélés, à l'exception d'une population montrant des problèmes d'identification des individus. L'ensemble de cette thèse est replacé dans le cadre de la biologie de la conservation des espèces végétales, notamment en suggérant de prendre en compte leur capacité de réponse au changement climatique
Mediterranean region is a biodiversity hot-spot with a high endemism rate and is classified among the areas most sensitive to climate change. Deep understanding of demography and evolution following these changes is a necessity for species conservation. During this thesis, two rare Mediterranean plant species have been studied, Centaurea corymbosa and Brassica insularis, using recent mathematical models to analyse long term demographic datasets (22 and 18 years). In the first part of this thesis, matrix projection models have been used to analyse spatio-temporal variation in population growth rate in C. corymbosa. Major climatic parameters that impact population growth rate and survival, flowering and fecundity have been identified. A population viability analysis has been performed under various climatic scenarios. In a second part, an analysis of the population ability of C. corymbosa to response to these climatic changes has been performed using integral projection models. Temporal variation of life-history traits showed that the realized flowering strategy varied with climatic conditions following the same direction than the optimal flowering strategy. It can thus be concluded that the studied populations can adapt to climatic changes. Finally, capture-recapture models have been applied on the Brassica insularis dataset to analyse the effect of plant detectability on demographic parameter estimations. Survival probabilities obtained with the classical approach are lower than the ones estimated using the CR models. However, the parameters estimated using both methods are highly correlated, except for one population where individual identification is problematic. Results of this thesis are linked to some considerations in conservation biology of plants, particularly in link to their ability to respond to climatic changes
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Lazo, Matheus Jatkoske. "O ansatz do produto matricial: uma nova abordagem para modelos exatamente solúveis." Universidade de São Paulo, 2006. http://www.teses.usp.br/teses/disponiveis/76/76131/tde-01042014-173851/.

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Neste trabalho mostramos que uma grande variedade de modelos exatamente solúveis através do ansatz de Bethe coordenadas podem também ser resolvidos através de um ansatz do produto matricial. Estes modelos são descritos no caso unidimensional por cadeias quânticas, e por matrizes de transferência no caso de sistemas clássicos bi-dimensionais. Diferentemente do ansatz de Bethe, em que as auto-funções do modelo são escritas como uma combinação de ondas planas, no nosso ansatz do produto matricial elas são dadas por produtos de matrizes, onde as matrizes obedecem a uma álgebra associativa apropriada. Estas relações algébricas são obtidas impondo-se que as auto-funções escritas em termos do ansatz satisfaçam à equação de auto-valor do operador Hamiltoniano ou da matriz de transferência. A consistência das relações de comutatividade entre os elementos da álgebra implicam na exata integrabilidade do modelo. Além disso, o ansatz que propomos permite uma formulação simples e unificada para vários Hamiltonianos quânticos exatamente solúveis. Apresentamos nesta tese a formulação do nosso ansatz do produto matricial para uma grande família de redes quânticas, como os modelos anisotrópico de Heisenberg, Fateev-Zamolodchikov, Izergin-Korepin, Sutherland, t-J, Hubbard etc. Mais ainda, formulamos nosso ansatz para processos estocásticos de partículas com tamanhos e classes diferentes difundindo assimetricamente na rede. Por fim, com o objetivo de dar suporte a nossa conjectura de que todos os modelos exatamente solúveis através do ansatz de Bethe coordenadas, associados a Hamiltonianos quânticos unidimensionais ou matrizes de transferência bidimensionais, também podem ser resolvidos através de um ansatz do produto matricial, apresentamos a formulação do nosso ansatz para a matriz de transferência do modelo de seis-vértices com condição de contorno toroidal
In this work we show that a large family of exactly solved models through the coordinate Bethe ansatz can also be solved through a matrix product ansatz. The models are described in the one dimensional case by quantum Hamiltonians, and by transfer matrices in the case of two dimensional classical models. Differently from the Bethe ansatz, where the model\'s eigenfunctions are described by a plane wave combination, in our matrix product ansatz they are given by a matrix product, where the matrices obey a suitable associative algebra. Theses algebraic relations are obtained by imposing that the eigenfunctions described in terms of the ansatz satisfy the eigenvalue equation for the associated Hamiltonian or transfer matrix. The consistency of the commutativity relations among the elements of the algebra implies the exact integrability of the model. Furthermore, the matrix product ansatz we propose allows an unified and simple formulation for the solution of several exact integrable quantum Hamiltonians. We present on this thesis the formulation of our matrix product ansatz for a huge family of quantum chains such as the anisotropic Heisenberg model, Fateev-Zarnolodchikov model, Izergin-Korepin model, Sutherland model, t- J model, Hubbard model, etc. Moreover, we formulated our ansatz for stochastic process of particles with different sizes and classes diffusing asymmetrically on the lattice. Finally, in order to support our conjecture that all exactly solved models through the coordinate Bethe ansatz, associated to unidimensional quantum Hamiltonians or two-dimensional transfer matrices, can also be solved through a matrix product ansatz, we present the formulation of our ansatz, for the transfer matrix of the six-vertex model with toroidal boundary condition
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Koffi, Kouamé Fulgence. "Impact du feu sur la démographie des Graminées de savane (Lamto, Côte d’Ivoire)." Thesis, Sorbonne université, 2019. http://www.theses.fr/2019SORUS161.

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La thèse vise à combler un déficit de connaissance sur la démographie des Poacées pérennes dans une savane humide (Lamto). L’impact de 4 traitements de feu (le feu précoce, le feu de mi-saison, le feu tardif et l’absence de feu) sur la démographie des Poacées pérennes dominantes a été étudié entre 2015 et 2018 sur des sous-parcelles de 5×5 m et 5x10 m. des modèles matriciels à cinq classes de circonférence ont été utilisés. Des réponses différenciées entre espèces ont été observées. La circonférence des touffes, varie entre 3 cm et 156 cm. La fragmentation, la rétrogression et la fécondité augmentent avec la circonférence alors que la mortalité et la croissance des touffes diminuent. Le feu tardif cause plus de mort, rétrogression et fragmentation tandis que le feu de mi-saison favorise plus de croissance et moins de rétrogression. Toutes les espèces ont présenté un taux de croissance λ < 1 en feu tardif et en absence du feu chaque année. Le feu de mi-saison est favorable à la croissance d’H. diplandra (λ = 1.02). La croissance d’A. canaliculatus a été plus favorisée par les feux précoce et de mi-saison (λ = 1.15 et λ = 1.04 respectivement). Enfin, A. canaliculatus et H. diplandra ont les mêmes âges et vivent plus longtemps sous feu précoce (87 à 103 ans). En absence du feu, A. canaliculatus peut atteindre jusqu’à 126 ans. Globalement, les espèces de Poacées pérennes diffèrent par leurs paramètres démographiques et leur réaction aux différents régimes de feu. La circonférence des touffes est un paramètre déterminant dans l’étude de la démographie de ces Poacées. Le feu de mi-saison parait être le plus favorable pour le maintien de la diversité des Poacées à Lamto
The thesis aims to fill a lake of knowledge on the demography of perennial grasses in a humid savanna (Lamto). The impact of 4 fire treatments (early fire, mid-season fire, late fire and no fire) on the demography of the dominant perennial grasses was studied between 2015 and 2018 on sub-plots of 5 × 5 m and 5 × 10 m. Matrix models with 5 classes of circumference were used. Different responses of the species were observed. The circumference of the tussocks, varies between 3 cm and 156 cm. Fragmentation, retrogression, and fecundity increase with circumference as mortality and tussock growth decrease. Late fire causes more death, retrogression and fragmentation while mid-season fire promotes more growth and less retrogression. All species showed a growth rate λ <1 in late fire and no fire each year. The mid-season fire is advantageous to the growth of H. diplandra (λ = 1.02). The growth of A. canaliculatus was favored by early and mid-season fires (λ = 1.15 and λ = 1.04 respectively). Finally, A. canaliculatus and H. diplandra have the same ages and live longer under early fire (87 to 103 years). In the no fire, A. canaliculatus can reach 126 years. Overall, perennial grass species differ in their demographic parameters and their response to different fire regimes. The circumference of the tussocks is a determining parameter in the study of the demography of these grasses. The mid-season fire seems to be the most favorable for maintaining the diversity of the grasses at Lamto
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Sioud, Khaled. "Simulation par éléments finis sur micro-ordinateur de la réponse dynamique des structures coques en régime linéaire et non linéaire." Nancy 1, 1991. http://www.theses.fr/1991NAN10127.

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Ce travail a pour objectif le développement sur micro-ordinateur des logiciels de simulation par éléments finis de problèmes généraux de mécanique des structures rencontrés en dynamique linéaire, modes réels et complexes , et non linéaire en formulations plaques et coques. La démarche poursuivie au cours de ce travail repose sur les étapes suivantes: étude détaillée des diverses méthodes de calculs des valeurs et vecteurs propres de matrices symétriques et non symétriques, accélération de ces méthodes par la mise en œuvre d'algorithmes permettant d'améliorer la convergence de la méthode des itérations de sous-espace accélérée par Tchebychev, mise en œuvre d'algorithmes permettant l'analyse dynamique, en comportement non linéaire géométrique et matériel, des plaques et coques, validation du code sur des exemples de complexité diverse, comparaison de nos résultats avec ceux d'autres codes
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Morel, Florent Rétif Jean-Marie. "Commandes directes appliquées à une machine synchrone à aimants permanents alimentée par un onduleur triphasé à deux niveaux ou par un convertisseur matriciel triphasé." Villeurbanne : Doc'INSA, 2008. http://docinsa.insa-lyon.fr/these/pont.php?id=morel.

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Sitel, Azzedine. "Méthodes de mesure des matrices acoustiques des discontinuités à un ou deux ports en présence des modes élevés." Compiègne, 2005. http://www.theses.fr/2005COMP1603.

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Cette étude présente la mise en oeuvre dans le cas d'un champ acoustique multimodal des méthodes expérimentales pour la caractérisation d'une discontinuité à deux ports par mesure de sa matrice de diffusion et de transmission ainsi que sa dissipation acoustique, et d'une discontinuité à un port par mesure de sa matrice de réflexion. La méthode proposée est appliquée à la mesure de la matrice de diffusion d'un tronçon droit sans discontinuités et d'un tronçon réactif. Les matrices de réflexion et de transmission sont mesurées pour un tronçon droit couplé avec une terminaison ouverte du conduit. Avec le surdimensionnement sur le nombre des charges, les coefficients expérimentaux de la matrice de diffusion mesurés pour le tronçon droit montrent un très bon accord avec la théorie, sauf, à l'approche des fréquences de coupure des modes. Pour le tronçon réactif, une très bonne concordance entre l'expérience et la théorie est notée pour les coefficients de diffusion associés aux ondes incidentes du côté de la source. En revanche, pour les bandes de fréquences où le tronçon filtre un des modes, la méthode des charges ne peut être utilisée pour mesurer les coefficients de diffusion associés aux ondes incidentes du côté de la charge. Pour caractériser complètement un tronçon non symétrique, un essai supplémentaire après son inversion est donc nécessaire. Pour les matrices de transmission et de réflexion, le surdimensionnement sur le nombre des configurations de la source apporte une grande amélioration sur les résultats. D'un autre côté, et afin d'estimer la sensibilité des différentes méthodes aux imprécisions de mesure, une méthode de simulation analytique de l'expérience est développée
This study presents the development of experimental methods to characterise a two-port discontinuity by measurement of its scattering and transmission matrices and its power dissipation, and a one-port discontinuity by measurement of its reflection matrix in higher order modes propagation conditions. This method is applied to the measurement of a scattering matrix of a straight cylindrical duct and a reactive chamber. Reflection and transmission matrices are measured for an open end coupled with a straight duct. With the use of the overdetermination on the number of loads, a good agreement was found between analytical and experimental scattering-matrix coefficients measured for the straight duct except near of eut-off frequencies. The test with the reactive type muffler shows that the load method fails in determining the coefficients associated to the wave coming in the discontinuity from the open side because modes are filtered by the reactive chamber. To characterise completely an asymmetrical section, an additionnel test after its inversion is therefore necessary. Results of transmission and reflection matrices shows that the overdetermination procedure on the number of source configurations improves the results. Ln another side, and in order to estimite the sensitivity of various methods to measurement errors, an analytical procedure of simulation of the experience is developed
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Books on the topic "Model matriciel"

1

Differential equations: Matrices and models. Englewood Cliffs, N.J: Prentice Hall, 1995.

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Bleher, Pavel. Random matrices and the six-vertex model. Providence, Rhode Island, USA: American Mathematical Society, 2014.

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Les matrices culturelles. Paris: Hermann, 2008.

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Kehoe, Timothy Jerome. Social accounting matrices and applied general equilibrium models. [Minneapolis, Minn.]: Federal Reserve Bank of Minneapolis, 1996.

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Burrill, Gail F. Advanced modeling and matrices. Orangeburg, N.Y: Dale Seymour, 1998.

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Kandasamy, W. B. Vasantha. Super fuzzy matrices and super fuzzy models for social scientists. Ann Arbor: InfoLearnQuest, 2008.

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Kuijlaars, Arno B. J., 1963- and Mo Man Yue, eds. The Hermitian two matrix model with an even quartic potential. Providence, R.I: American Mathematical Society, 2011.

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Neuts, Marcel F. Matrix-geometric solutions in stochastic models: An algorithmic approach. New York: Dover Publications, 1994.

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Matrices and graphs: Stability problems in mathematical ecology. Boca Raton: CRC Press, 1993.

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1962-, Feng Zunde, and Liu Jimin 1963-, eds. Bing tai xi tong fen xi li lun ji qi zai ce liang zhong de ying yong: Analysis theory on ill-conditioned system with application in surveying. Beijing: Ce hui chu ban she, 2007.

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Book chapters on the topic "Model matriciel"

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Ravishanker, Nalini, Zhiyi Chi, and Dipak K. Dey. "Properties of Special Matrices." In A First Course in Linear Model Theory, 33–66. 2nd ed. Boca Raton: Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9781315156651-2.

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Moussian, Bernard. "Molecular Model of Skeletal Organization and Differentiation." In Extracellular Composite Matrices in Arthropods, 67–87. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-40740-1_3.

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Massa, L. J. "X-Ray Orthonormal Orbital Model for Crystallography." In Density Matrices and Density Functionals, 707–16. Dordrecht: Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3855-7_39.

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Bapat, R. B. "Eigenvalues and Positive Definite Matrices." In Linear Algebra and Linear Models, 21–29. London: Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-2739-0_3.

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Pastur, Leonid, and Mariya Shcherbina. "Unitary matrix models." In Eigenvalue Distribution of Large Random Matrices, 485–98. Providence, Rhode Island: American Mathematical Society, 2011. http://dx.doi.org/10.1090/surv/171/16.

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Pastur, Leonid, and Mariya Shcherbina. "Matrix models: Global regime." In Eigenvalue Distribution of Large Random Matrices, 317–67. Providence, Rhode Island: American Mathematical Society, 2011. http://dx.doi.org/10.1090/surv/171/11.

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Weinmann, Alexander. "Analysis Using Matrices and Control Theory." In Uncertain Models and Robust Control, 79–93. Vienna: Springer Vienna, 1991. http://dx.doi.org/10.1007/978-3-7091-6711-3_5.

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Tsukuma, Hisayuki, and Tatsuya Kubokawa. "Multivariate Linear Model and Group Invariance." In Shrinkage Estimation for Mean and Covariance Matrices, 27–33. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-1596-5_4.

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Indyk, Piotr, and Ilya Razenshteyn. "On Model-Based RIP-1 Matrices." In Automata, Languages, and Programming, 564–75. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-39206-1_48.

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Sheppard, Kevin. "Forecasting High Dimensional Covariance Matrices." In Handbook of Volatility Models and Their Applications, 103–25. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2012. http://dx.doi.org/10.1002/9781118272039.ch4.

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Conference papers on the topic "Model matriciel"

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Kleppe, A. "Neutrino mass matrices with a democratic texture." In Beyond the standard model. American Institute of Physics, 1997. http://dx.doi.org/10.1063/1.54479.

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J. Burden, Conrad. "Can Evolutionary Rate Matrices be Estimated from Allele Frequencies?" In International Conference on Bioinformatics Models, Methods and Algorithms. SCITEPRESS - Science and and Technology Publications, 2015. http://dx.doi.org/10.5220/0005253701830188.

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HASSELMAN, T., J. CHROSTOWSKI, and RICHARD PAPPA. "ESTIMATION OF FULL MODAL DAMPING MATRICES FROM COMPLEX TEST MODES." In 34th Structures, Structural Dynamics and Materials Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1993. http://dx.doi.org/10.2514/6.1993-1668.

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Buono, Nicoletta, Flavia Esposito, Laura Selicato, and Maria Vegliante. "Anomalies Detection in Gene Expression Matrices: Towards a New Approach." In 12th International Conference on Bioinformatics Models, Methods and Algorithms. SCITEPRESS - Science and Technology Publications, 2021. http://dx.doi.org/10.5220/0010342301620169.

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Lin, X. Z., Z. M. Hu, and J. M. Huang. "Model Reduction for the Electrostatically Actuated Silicon Diaphragm Based on Modal-Type Dynamic Condensation." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-37800.

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A method for constructing reduced-order models (ROM) of an electrostatically actuated clamped silicon diaphragm is presented. This reduced-order model is constructed by using basis the spatially dependent eigen-functions. A commercial finite element package is firstly used to form the system mass and stiffness matrices representing the model. These matrices are then manipulated in MATLAB™ and reduced using modal type dynamic condensation. The eigen-value problem is then solved for the reduced mass and stiffness matrices and subset of the modes are used to producing low-order but highly accurate models of electrostatically actuated diaphragm. The reduced-order model can accounts for general residual stress and strain hardening and allows for any other electric driving signal simulations. Once the ROM has been generated, it can be reused to simulate the quasi-state and dynamics behaviors of the device over a range of different electric driving waveforms. The calculated results show that the resulting ROM can capture the static/dynamic behaviors of the device very well. The simulation results also show good agreement with the fully meshed dynamic models simulation results, thus the efficiency and accuracy of the modeling technology are valid.
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Nikolaev, Konstantin, and Galina Grigoryeva. "Recursive Model for Multiplying Multidimensional Matrices." In 2019 IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering (EIConRus). IEEE, 2019. http://dx.doi.org/10.1109/eiconrus.2019.8657307.

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Hunek, Wojciech P., and Pawel Majewski. "A New Nonunique PSVD-Based Inverse of Nonsquare Polynomial Matrices." In 2018 23rd International Conference on Methods & Models in Automation & Robotics (MMAR). IEEE, 2018. http://dx.doi.org/10.1109/mmar.2018.8486046.

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Hunek, Wojciech, Krzysztof Latawiec, Rafal Stanislawski, Marian Lukaniszyn, and Piotr Dzierwa. "A new form of a σ-inverse for nonsquare polynomial matrices." In 2013 18th International Conference on Methods & Models in Automation & Robotics (MMAR). IEEE, 2013. http://dx.doi.org/10.1109/mmar.2013.6669920.

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Dias, Cristina, Manuela Oliveira, and João T. Mexia. "Models of symmetric stochastic matrices." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756489.

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Delprete, Cristiana, Elvio Bonisoli, and Carlo Rosso. "A Modal-Geometrical Selection Criterion in Dynamic Condensation Techniques." In ASME 8th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2006. http://dx.doi.org/10.1115/esda2006-95469.

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Dynamic condensation techniques, usually applied to simplify the dynamic models of mechanical systems, are based on the choice of master degrees of freedom and the selection criterion entails important characteristics on the equivalent reduced models. Starting from geometrical data of analytical models or experimental setup and corresponding modal data, the present paper presents a modal-geometrical selection criterion of master degrees of freedom that can minimize the ill-conditioning of mass and stiffness matrices. Some analytical models are tested, by computing with the System Equivalent Reduction Expansion Process (Serep) methodology the equivalent dynamic reduced systems. Both the modal properties and the ill-conditioning of mass and stiffness matrices of reduced models are compared. In particular, by increasing the order of the reduced model, the ratios between the maximum and minimum eigenvalue of the matrices models computed through the modal-geometrical selection criterion are matched up with the best and worst choice of master nodes between all possible solutions. Therefore, performance and restrictions of the proposed criterion is discussed for increasing weight of models and modal properties until to consider complex finite element (FE) models of automotive subsystems, such as tire, wheel clamp and exhaust pipeline.
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Reports on the topic "Model matriciel"

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Irwin, John. Model-Independent Analysis of Beam Dynamics with BPM Correlation Matrices. Office of Scientific and Technical Information (OSTI), July 1999. http://dx.doi.org/10.2172/9925.

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Smith, D. L. Covariance matrices for nuclear cross sections derived from nuclear model calculations. Office of Scientific and Technical Information (OSTI), January 2005. http://dx.doi.org/10.2172/838257.

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Williams, James H., Nagem Jr., Yeung Raymond J., and Hubert K. Wave-Mode Coordinates and Scattering Matrices for Wave Propagation. Fort Belvoir, VA: Defense Technical Information Center, October 1986. http://dx.doi.org/10.21236/ada176998.

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Bai, Z. D., P. R. Krishnaiah, and L. C. Zhao. On the Asymptotic Joint Distributions of the Eigenvalues of Random Matrices Which Arise under Components of Covariance Model. Fort Belvoir, VA: Defense Technical Information Center, June 1987. http://dx.doi.org/10.21236/ada186387.

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Banerjee, Onil, Martin Cicowiez, Gabriela Saborío Muñoz, and Renato Vargas. La Plataforma de Modelación Económica-Ambiental Integrada (IEEM): Guías técnicas de la Plataforma IEEM: Construcción de una matriz de contabilidad social para Costa Rica para el año 2016. Inter-American Development Bank, February 2021. http://dx.doi.org/10.18235/0003017.

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Los modelos de equilibrio general computable (EGC) son sistemas de ecuaciones matemáticas que permiten describir una economía completa. Intensivos en datos, estos requieren que la información utilizada para resolver dichas ecuaciones esté organizada de manera particular que toma la forma de una Matriz de Contabilidad Social (MCS), la cual describe el flujo circular de transacciones entre agentes económicos para un periodo de referencia. En este documento se describe el procedimiento seguido para la construcción de una MCS para Costa Rica para el año 2016, la cual utiliza, tanto los Cuadros de Oferta y Utilización, como las Cuentas Económicas Integradas más recientes del Sistema de Cuentas Nacionales del Banco Central de Costa Rica (BCCR) como fuente principal de datos. La MCS resultante identifica 139 actividades y 183 productos. Además de detallar los pasos tradicionales para la construcción de este tipo de matrices, este documento constituye una contribución importante al estado de la ciencia en Latinoamérica al proveer una descripción detallada de todos los ajustes necesarios para desagregar actividades económicas, productos y factores productivos. A pesar de que la MCS aquí descrita ha sido desarrollada para ser utilizada con la Plataforma de Modelado Económico Ambiental Integrada (IEEM), puede ser utilizada para calibrar cualquier modelo de EGC.
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