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Dissertations / Theses on the topic 'Singularna matrica'

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Published: 4 June 2021
Last updated: 1 February 2022

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1

Vera, Miler Jerković. "Primena uopštenih inverza u rešavanju fazi linearnih sistema." Phd thesis, Univerzitet u Novom Sadu, Fakultet tehničkih nauka u Novom Sadu, 2018. https://www.cris.uns.ac.rs/record.jsf?recordId=107117&source=NDLTD&language=en.

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Predmet izučavanja doktorske disertacije jeste postavljanje univerzalne metode za rešavanje fazi linearnih sistema primenom blokovske reprezentacije uopštenih inverza matrice. Pre svega, postavljen je potreban i dovoljan uslov za ekzistenciju rešanja fazi linearnog sistema. Zatim je data tačna algebarska forma rešenja i na kraju je predstavljen efikasan algoritam.<br>Thе subject of research of thesis is setting universal method for solving fuzzy linear systems using a block representation of generalized inversis of a matrix. A necessary and sufficienf condition for the existence solutions of f
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2

Kwizera, Petero. "Matrix Singular Value Decomposition." UNF Digital Commons, 2010. http://digitalcommons.unf.edu/etd/381.

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This thesis starts with the fundamentals of matrix theory and ends with applications of the matrix singular value decomposition (SVD). The background matrix theory coverage includes unitary and Hermitian matrices, and matrix norms and how they relate to matrix SVD. The matrix condition number is discussed in relationship to the solution of linear equations. Some inequalities based on the trace of a matrix, polar matrix decomposition, unitaries and partial isometies are discussed. Among the SVD applications discussed are the method of least squares and image compression. Expansion of a matrix a
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3

Peng, Yuanyuan. "On Singular Values of Random Matrices." Kent State University / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=kent1438253068.

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4

Fragkoulis, Vasileios C. "Random vibration of systems with singular matrices." Thesis, University of Liverpool, 2017. http://livrepository.liverpool.ac.uk/3011357/.

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In the area of stochastic engineering dynamics, a flourishing field of research has been connected to assessing the reliability of systems subjected to stochastic excitations. In particular, the development of analytical and numerical methodologies for the response statistics determination of multi-degree-of-freedom (MDOF) systems with potentially singular matrices are of high interest. These singular matrices can appear naturally in the systems governing equations of motion, for instance due to coupling of electro-mechanical equations in energy harvesting applications, or they are related to
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5

Xu, Wei Qiao Sanzheng. "Symmetric singular value decomposition of complex symmetric matrices." *McMaster only, 2006.

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6

鄭智文 and Che-man Cheng. "Some results on eigenvalues, singular values and orthostochastic matrices." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1991. http://hub.hku.hk/bib/B31232176.

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7

Cheng, Che-man. "Some results on eigenvalues, singular values and orthostochastic matrices /." [Hong Kong : University of Hong Kong], 1991. http://sunzi.lib.hku.hk/hkuto/record.jsp?B13019077.

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8

Tidefelt, Henrik. "Differential-algebraic equations and matrix-valued singular perturbation." Doctoral thesis, Linköpings universitet, Reglerteknik, 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-51653.

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With the arrival of modern component-based modeling tools for dynamic systems, the differential-algebraic equation form is increasing in popularity as it is general enough to handle the resulting models. However, if uncertainty is allowed in the equations — no matter how small — this thesis stresses that such equations generally become ill-posed. Rather than deeming the general differential-algebraic structure useless up front due to this reason, the suggested approach to the problem is to ask what assumptions that can be made in order to obtain well-posedness. Here, “well-posedness” is used i
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9

Ramírez, Contrera Francisco Jorge. "Matrices no negativas y aplicaciones a sistemas singulares de control." Doctoral thesis, Universitat Politècnica de València, 2012. http://hdl.handle.net/10251/15996.

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En esta tesis doctoral se ha abordado el estudio de los sistemas lineales singulares de control en tiempo discreto. Concretamente, la propiedad que se ha analizado corresponde a la no negatividad del sistema singular. Los sistemas singulares de control no negativos tienen múltiples aplicaciones en diferentes áreas como teoría de circuitos, economía, química, estudio de poblaciones, etc. De ahí el interés de abordar caracterizaciones de este tipo de sistemas. En primer lugar, en el capítulo 1, se realiza una introducción donde se detallan algunos antecedentes del tema y se introducen las notaci
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10

Nagata, Munehiro. "Studies on Accurate Singular Value Decomposition for Bidiagonal Matrices." 京都大学 (Kyoto University), 2016. http://hdl.handle.net/2433/215686.

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原著論文リスト[A1]: “The final publication is available at Springer via http://dx.doi.org/10.1007/s11075-012-9607-5.”. [A2]: “The final publication is available at Springer via http://dx.doi.org/10.1007/s10092-013-0085-5.”, [A3]: DOI“10.1016/j.camwa.2015.11.022”<br>Kyoto University (京都大学)<br>0048<br>新制・課程博士<br>博士(情報学)<br>甲第19859号<br>情博第610号<br>新制||情||106(附属図書館)<br>32895<br>京都大学大学院情報学研究科数理工学専攻<br>(主査)教授 中村 佳正, 教授 矢ｹ崎 一幸, 教授 山下 信雄<br>学位規則第4条第1項該当
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11

Pugliese, Alessandro. "Theoretical and numerical aspects of coalescing of eigenvalues and singular values of parameter dependent matrices." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/24730.

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Thesis (Ph.D.)--Mathematics, Georgia Institute of Technology, 2008.<br>Committee Chair: Dieci, Luca; Committee Member: Chow, Shui-Nee; Committee Member: Liu, Yingjie; Committee Member: Loss, Michael; Committee Member: Verriest, Erik.
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12

Kleinschmidt, Colin Matthias [Verfasser]. "The smallest singular value of tensor matrices / Colin Matthias Kleinschmidt." Kiel : Universitätsbibliothek Kiel, 2016. http://d-nb.info/1118500083/34.

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13

Franca, Willian Versolati. "Commuting Maps On Some Subsets That Are Not Closed Under Addition." Kent State University / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=kent1374077147.

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14

Fedosov, Boris, Bert-Wolfgang Schulze, and Nikolai Tarkhanov. "On the index formula for singular surfaces." Universität Potsdam, 1997. http://opus.kobv.de/ubp/volltexte/2008/2511/.

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In the preceding paper we proved an explicit index formula for elliptic pseudodifferential operators on a two-dimensional manifold with conical points. Apart from the Atiyah-Singer integral, it contains two additional terms, one of the two being the 'eta' invariant defined by the conormal symbol. In this paper we clarify the meaning of the additional terms for differential operators.
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15

Pell, Melinda Tam Tin-Yau. "A comparison of two proofs of Yamamoto's theorem relating Eigenvalue moduli and singular values of a matrix." Auburn, Ala., 2006. http://repo.lib.auburn.edu/2006%20Summer/Theses/PELL_MELINDA_40.pdf.

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16

Powell, Tracy. "The Singular Values of the Exponientiated Adjacency Matrixes of Broom-Tree Graphs." Scholarship @ Claremont, 2006. https://scholarship.claremont.edu/hmc_theses/186.

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In this paper, we explore the singular values of adjacency matrices {An} for a particular family {Gn} of graphs, known as broom trees. The singular values of a matrix M are defined to be the square roots of the eigenvalues of the symmetrized matrix MTM. The matrices we are interested in are the symmetrized adjacency matrices AnTAn and the symmetrized exponentiated adjacency matrices BnTBn = (eAn − I)T(eAn − I) of the graphs Gn. The application of these matrices in the HITS algorithm for Internet searches suggests that we study whether the largest two eigenvalues of AnTAn (or those of BnTBn) ca
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17

Fedosov, Boris, Bert-Wolfgang Schulze, and Nikolai N. Tarkhanov. "The index of higher order operators on singular surfaces." Universität Potsdam, 1998. http://opus.kobv.de/ubp/volltexte/2008/2512/.

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The index formula for elliptic pseudodifferential operators on a two-dimensional manifold with conical points contains the Atiyah-Singer integral as well as two additional terms. One of the two is the 'eta' invariant defined by the conormal symbol, and the other term is explicitly expressed via the principal and subprincipal symbols of the operator at conical points. In the preceding paper we clarified the meaning of the additional terms for first-order differential operators. The aim of this paper is an explicit description of the contribution of a conical point for higher-order differential
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18

Tkachuk, Anton [Verfasser], and Manfred [Akademischer Betreuer] Bischoff. "Variational methods for consistent singular and scaled mass matrices / Anton Tkachuk. Betreuer: Manfred Bischoff." Stuttgart : Universitätsbibliothek der Universität Stuttgart, 2014. http://d-nb.info/1049260589/34.

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19

Winck, Ryder Christian. "Simultaneous control of coupled actuators using singular value decomposition and semi-nonnegative matrix factorization." Diss., Georgia Institute of Technology, 2012. http://hdl.handle.net/1853/45907.

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This thesis considers the application of singular value decomposition (SVD) and semi-nonnegative matrix factorization (SNMF) within feedback control systems, called the SVD System and SNMF System, to control numerous subsystems with a reduced number of control inputs. The subsystems are coupled using a row-column structure to allow mn subsystems to be controlled using m+n inputs. Past techniques for controlling systems in this row-column structure have focused on scheduling procedures that offer limited performance. The SVD and SNMF Systems permit simultaneous control of every subsystem, which
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20

Yan, Wen. "Generalization of Ky Fan-Amir-Moéz-Horn-Mirsky's result on the eigenvalues and real singular values of a matrix." Auburn, Ala., 2005. http://repo.lib.auburn.edu/2005%20Fall/Dissertation/YAN_WEN_22.pdf.

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21

Eliopoulou, Helen. "A matrix pencil approach to the study of geometry and feedback invariants of singular systems." Thesis, City University London, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.259745.

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22

Böttcher, A., and S. M. Grudsky. "Estimates for the condition numbers of large semi-definite Toeplitz matrices." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801238.

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This paper is devoted to asymptotic estimates for the condition numbers $\kappa(T_n(a))=||T_n(a)|| ||T_n^(-1)(a)||$ of large $n\cross n$ Toeplitz matrices $T_N(a)$ in the case where $\alpha \element L^\infinity$ and $Re \alpha \ge 0$ . We describe several classes of symbols $\alpha$ for which $\kappa(T_n(a))$ increases like $(log n)^\alpha, n^\alpha$ , or even $e^(\alpha n)$ . The consequences of the results for singular values, eigenvalues, and the finite section method are discussed. We also consider Wiener-Hopf integral operators and multidimensional Toeplitz operators.
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23

Borovac, Stefan. "A graph based approach to the convergence of some iterative methods for singular M-matrices and Markov chains." [S.l.] : [s.n.], 2006. http://deposit.ddb.de/cgi-bin/dokserv?idn=980599490.

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24

Snow, Kyle Brian. "Topics in Total Least-Squares Adjustment within the Errors-In-Variables Model: Singular Cofactor Matrices and Prior Information." The Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1354677123.

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25

Zhao, Wancheng. "A Structural Damage Identification Method Based on Unified Matrix Polynomial Approach and Subspace Analysis." University of Cincinnati / OhioLINK, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1206652627.

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26

Yamashita, Takumi. "Studies on Methods for Computing Lower Bounds of the Minimal Singular Value of an Upper Bidiagonal Matrix and Their Applications." 京都大学 (Kyoto University), 2012. http://hdl.handle.net/2433/160979.

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27

Nadsady, Kenneth Allan. "A two-stage method for system identification from time series." Ohio : Ohio University, 1998. http://www.ohiolink.edu/etd/view.cgi?ohiou1176406389.

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28

AHRAM, TAREQ. "INFORMATION RETRIEVAL PERFORMANCE ENHANCEMENT USING THE AVERAGE STANDARD ESTIMATOR AND THE MULTI-CRITERIA DECISION WEIGHTED SET." Doctoral diss., University of Central Florida, 2008. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/3280.

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Information retrieval is much more challenging than traditional small document collection retrieval. The main difference is the importance of correlations between related concepts in complex data structures. These structures have been studied by several information retrieval systems. This research began by performing a comprehensive review and comparison of several techniques of matrix dimensionality estimation and their respective effects on enhancing retrieval performance using singular value decomposition and latent semantic analysis. Two novel techniques have been introduced in this resear
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Amorim, Mauro de. "Decomposição aleatória de matrizes aplicada ao reconhecimento de faces." Universidade do Estado do Rio de Janeiro, 2013. http://www.bdtd.uerj.br/tde_busca/arquivo.php?codArquivo=4819.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>Métodos estocásticos oferecem uma poderosa ferramenta para a execução da compressão de dados e decomposições de matrizes. O método estocástico para decomposição de matrizes estudado utiliza amostragem aleatória para identificar um subespaço que captura a imagem de uma matriz de forma aproximada, preservando uma parte de sua informação essencial. Estas aproximações compactam a informação possibilitando a resolução de problemas práticos de maneira eficiente. Nesta dissertação é calculada uma decomposição em valores singulares (SVD) u
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30

Desiderio, Luca. "H-matrix based Solver for 3D Elastodynamics Boundary Integral Equations." Thesis, Université Paris-Saclay (ComUE), 2017. http://www.theses.fr/2017SACLY002/document.

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Cette thèse porte sur l'étude théorique et numérique des méthodes rapides pour résoudre les équations de l'élastodynamique 3D en domaine fréquentiel, et se place dans le cadre d'une collaboration avec la société Shell en vue d'optimiser la convergence des problèmes d'inversion sismique. La méthode repose sur l'utilisation des éléments finis de frontière (BEM) pour la discrétisation et sur les techniques de matrices hiérarchiques (H-matrices) pour l'accélération de la résolution du système linéaire. Dans le cadre de cette thèse on a développé un solveur direct pour les BEMs en utilisant une fac
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31

Spinnato, Juliette. "Modèles de covariance pour l'analyse et la classification de signaux électroencéphalogrammes." Thesis, Aix-Marseille, 2015. http://www.theses.fr/2015AIXM4727/document.

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Cette thèse s’inscrit dans le contexte de l’analyse et de la classification de signaux électroencéphalogrammes (EEG) par des méthodes d’analyse discriminante. Ces signaux multi-capteurs qui sont, par nature, très fortement corrélés spatialement et temporellement sont considérés dans le plan temps-fréquence. En particulier, nous nous intéressons à des signaux de type potentiels évoqués qui sont bien représentés dans l’espace des ondelettes. Par la suite, nous considérons donc les signaux représentés par des coefficients multi-échelles et qui ont une structure matricielle électrodes × coefficien
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Chaves, Rafael Soares. "Projeto terap?utico singular como ferramenta de gest?o do cuidado na estrat?gia sa?de da fam?lia do RN: desafios e possibilidades." PROGRAMA DE P?S-GRADUA??O EM SA?DE DA FAM?LIA NO NORDESTE, 2016. https://repositorio.ufrn.br/jspui/handle/123456789/22641.

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Submitted by Automa??o e Estat?stica (sst@bczm.ufrn.br) on 2017-04-03T23:50:32Z No. of bitstreams: 1 RafaelSoaresChaves_DISSERT.pdf: 919425 bytes, checksum: 9de0144c3d14bd1f23ad957f686c3442 (MD5)<br>Approved for entry into archive by Arlan Eloi Leite Silva (eloihistoriador@yahoo.com.br) on 2017-04-12T19:09:57Z (GMT) No. of bitstreams: 1 RafaelSoaresChaves_DISSERT.pdf: 919425 bytes, checksum: 9de0144c3d14bd1f23ad957f686c3442 (MD5)<br>Made available in DSpace on 2017-04-12T19:09:57Z (GMT). No. of bitstreams: 1 RafaelSoaresChaves_DISSERT.pdf: 919425 bytes, checksum: 9de0144c3d14bd1f23ad957f68
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Savas, Berkant. "Algorithms in data mining using matrix and tensor methods." Doctoral thesis, Linköpings universitet, Beräkningsvetenskap, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-11597.

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In many fields of science, engineering, and economics large amounts of data are stored and there is a need to analyze these data in order to extract information for various purposes. Data mining is a general concept involving different tools for performing this kind of analysis. The development of mathematical models and efficient algorithms is of key importance. In this thesis we discuss algorithms for the reduced rank regression problem and algorithms for the computation of the best multilinear rank approximation of tensors. The first two papers deal with the reduced rank regression problem,
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Lazarevic, Ljubica. "Improving the efficiency and accuracy of nocturnal bird Surveys through equipment selection and partial automation." Thesis, Brunel University, 2010. http://bura.brunel.ac.uk/handle/2438/4155.

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Birds are a key environmental asset and this is recognised through comprehensive legislation and policy ensuring their protection and conservation. Many species are active at night and surveys are required to understand the implications of proposed developments such as towers and reduce possible conflicts with these structures. Night vision devices are commonly used in nocturnal surveys, either to scope an area for bird numbers and activity, or in remotely sensing an area to determine potential risk. This thesis explores some practical and theoretical approaches that can improve the accuracy,
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35

Harmouch, Jouhayna. "Décomposition de petit rang, problèmes de complétion et applications : décomposition de matrices de Hankel et des tenseurs de rang faible." Thesis, Université Côte d'Azur (ComUE), 2018. http://www.theses.fr/2018AZUR4236/document.

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On étudie la décomposition de matrice de Hankel comme une somme des matrices de Hankel de rang faible en corrélation avec la décomposition de son symbole σ comme une somme des séries exponentielles polynomiales. On présente un nouvel algorithme qui calcule la décomposition d’un opérateur de Hankel de petit rang et sa décomposition de son symbole en exploitant les propriétés de l’algèbre quotient de Gorenstein . La base de est calculée à partir la décomposition en valeurs singuliers d’une sous-matrice de matrice de Hankel . Les fréquences et les poids se déduisent des vecteurs propres généralis
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Hansson, Jörgen. "Using Linear Fractional Transformations for Clearance of Flight Control Laws." Thesis, Linköping University, Department of Electrical Engineering, 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-2041.

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<p>Flight Control Systems are often designed in linearization points over a flight envelope and it must be proven to clearance authorities that the system works for different parameter variations and failures all over this envelope. </p><p>In this thesis µ-analysis is tried as a complement for linear analysis in the frequency plane. Using this method stability can be guaranteed for all static parameter combinations modelled and linear criteria such as phase and gain margins and most unstable eigenvalue can be included in the analysis. A way of including bounds on the parameter variations using
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Caleffi, José. "Otimização do método SOR para matrizes p-cíclicas consistentemente ordenadas." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2000. http://hdl.handle.net/10183/126769.

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Estudamos a otimização do método SOR clássico, para a resolução de um sistema linear Ax = b, com A não-singular, a partir dos resultados de Young [55, 57] e Varga [50, 51] para matrizes de blocos p-cíclicas consistentemente ordenadas. Num primeiro nível, a otimização refere-se à escolha do parâmetro de relaxação do SOR que produz a maior velocidade de convergência, e, num segundo nível, à escolha da p-ciclicidade que apresenta o melhor desempenho com os valores ótimos do parâmetro, e damos ênfase ao caso 2-cíclico. Além disso, descrevemos a otimização do parâmetro em três generalizações: a) nu
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Sundaramurthy, Roshni. "Recommender System for Gym Customers." Thesis, Linköpings universitet, Statistik och maskininlärning, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-166147.

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Recommender systems provide new opportunities for retrieving personalized information on the Internet. Due to the availability of big data, the fitness industries are now focusing on building an efficient recommender system for their end-users. This thesis investigates the possibilities of building an efficient recommender system for gym users. BRP Systems AB has provided the gym data for evaluation and it consists of approximately 896,000 customer interactions with 8 features. Four different matrix factorization methods, Latent semantic analysis using Singular value decomposition, Alternating
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Tamayo, Palau José María. "Multilevel adaptive cross approximation and direct evaluation method for fast and accurate discretization of electromagnetic integral equations." Doctoral thesis, Universitat Politècnica de Catalunya, 2011. http://hdl.handle.net/10803/6952.

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El Método de los Momentos (MoM) ha sido ampliamente utilizado en las últimas décadas para la discretización y la solución de las formulaciones de ecuación integral que aparecen en muchos problemas electromagnéticos de antenas y dispersión. Las más utilizadas de dichas formulaciones son la Ecuación Integral de Campo Eléctrico (EFIE), la Ecuación Integral de Campo Magnético (MFIE) y la Ecuación Integral de Campo Combinada (CFIE), que no es más que una combinación lineal de las dos anteriores.<br/>Las formulaciones MFIE y CFIE son válidas únicamente para objetos cerrados y necesitan tratar la int
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Jenča, Pavol. "Identifikace parametrů elektrických motorů metodou podprostorů." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2012. http://www.nusl.cz/ntk/nusl-219678.

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The electrical motors parameters identification is solved in this master’s thesis using subspace based methods. Electrical motors are simulated in Matlab/Simulink interactive environment, specifically permanent magnet DC motor and permanent magnet synchronous motor. Identification is developed in Matlab interactive environment. Different types of subspace algorithms are used for the estimation of parameters. Results of subspace parameters estimation are compared with least squares parameters estimation. The thesis describes subspace method, types of subspace algorithms, used electrical motors,
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41

Ley, Christophe. "Univariate and multivariate symmetry: statistical inference and distributional aspects." Doctoral thesis, Universite Libre de Bruxelles, 2010. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210029.

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This thesis deals with several statistical and probabilistic aspects of symmetry and asymmetry, both in a univariate and multivariate context, and is divided into three distinct parts.<p><p>The first part, composed of Chapters 1, 2 and 3 of the thesis, solves two conjectures associated with multivariate skew-symmetric distributions. Since the introduction in 1985 by Adelchi Azzalini of the most famous representative of that class of distributions, namely the skew-normal distribution, it is well-known that, in the vicinity of symmetry, the Fisher information matrix is singular and the profile l
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Buchanan, Aeron Morgan. "Tracking non-rigid objects in video." Thesis, University of Oxford, 2008. http://ora.ox.ac.uk/objects/uuid:82efb277-abc9-4725-9506-5d114a83bd96.

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Video is a sequence of 2D images of the 3D world generated by a camera. As the camera moves relative to the real scene and elements of that scene themselves move, correlated frame-to-frame changes in the video images are induced. Humans easily identify such changes as scene motion and can readily assess attempts to quantify it. For a machine, the identification of the 2D frame-to-frame motion is difficult. This problem is addressed by the computer vision process of tracking. Tracking underpins the solution to the problem of augmenting general video sequences with artificial imagery, a staple t
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Silvers, Thomas W. "Implementation And Performance Comparisons For The Crisfield And Stiff Arc Length Methods In FEA." Master's thesis, University of Central Florida, 2012. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/5498.

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In Nonlinear Finite Element Analysis (FEA) applied to structures, displacements at which the tangent stiffness matrix KT becomes singular are called critical points, and correspond to instabilities such as buckling or elastoplastic softening (e.g., necking). Prior to the introduction of Arc Length Methods (ALMs), critical points posed severe computational challenges, which was unfortunate since behavior at instabilities is of great interest as a precursor to structural failure. The original ALM was shown to be capable in some circumstances of continued computation at critical points, but limit
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Cioaca, Alexandru George. "A Computational Framework for Assessing and Optimizing the Performance of Observational Networks in 4D-Var Data Assimilation." Diss., Virginia Tech, 2013. http://hdl.handle.net/10919/51795.

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A deep scientific understanding of complex physical systems, such as the atmosphere, can be achieved neither by direct measurements nor by numerical simulations alone. Data assimilation is a rigorous procedure to fuse information from a priori knowledge of the system state, the physical laws governing the evolution of the system, and real measurements, all with associated error statistics. Data assimilation produces best (a posteriori) estimates of model states and parameter values, and results in considerably improved computer simulations. The acquisition and use of observations in data ass
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45

Hofmann, B., and G. Fleischer. "Stability Rates for Linear Ill-Posed Problems with Convolution and Multiplication Operators." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800987.

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In this paper we deal with the `strength' of ill-posedness for ill-posed linear operator equations Ax = y in Hilbert spaces, where we distinguish according_to_M. Z. Nashed [15] the ill-posedness of type I if A is not compact, but we have R(A) 6= R(A) for the range R(A) of A; and the ill-posedness of type II for compact operators A: From our considerations it seems to follow that the problems with noncompact operators A are not in general `less' ill-posed than the problems with compact operators. We motivate this statement by comparing the approximation and stability behaviour of discrete leas
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46

García-Zelada, David. "Aspects géométriques et probabilistes des gaz de coulomb Concentration for Coulomb gases on compact manifolds A large deviation principle for empirical measures on Polish spaces: Application to singular Gibbs measures on manifolds Extremal particles of two-dimensional Coulomb gases and random polynomials on a positive background Edge fluctuations for a class of two-dimensional determinantal Coulomb gases." Thesis, Paris Sciences et Lettres (ComUE), 2019. http://www.theses.fr/2019PSLED046.

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Nous explorons des modèles probabilistes appelés gaz de Coulomb. Ils apparaissent dans différents contextes comme par exemple dans la théorie des matrices aléatoires, l'effet Hall quantique fractionnaire de Laughlin et les modèles de supraconductivité de Ginzburg-Landau. Dans le but de mieux comprendre le rôle de l'espace ambiant, nous étudions des versions géométriques de ce système. Nous exploitons trois structures sur ce modèle. La première est définie par la interaction électrostatique provenant de la loi de Gauss. La deuxième est la structure déterminantale disponible que pour des valeurs
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47

Chen, Huyuan. "Fully linear elliptic equations and semilinear fractionnal elliptic equations." Thesis, Tours, 2014. http://www.theses.fr/2014TOUR4001/document.

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Cette thèse est divisée en six parties. La première partie est consacrée à l'étude de propriétés de Hadamard et à l'obtention de théorèmes de Liouville pour des solutions de viscosité d'équations aux dérivées partielles elliptiques complètement non-linéaires avec des termes de gradient,<br>This thesis is divided into six parts. The first part is devoted to prove Hadamard properties and Liouville type theorems for viscosity solutions of fully nonlinear elliptic partial differential equations with gradient term
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48

Zerrougui, Mohamed. "Observation et commande des systèmes singuliers non linéaires." Phd thesis, Université Henri Poincaré - Nancy I, 2011. http://tel.archives-ouvertes.fr/tel-00705339.

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Les travaux présentés dans cette thèse ont été effectués au Centre de Recherche en Automatique de Nancy (CRAN). Ils portent sur l'observation et la commande des systèmes singuliers non linéaires. Dans un premier temps nous nous sommes intéressés à la synthèse d'observateur et au filtrage H infini des systèmes singuliers bilinéaires. Dans un deuxième temps, nous avons étudié la synthèse d'observateur pour les systèmes singuliers non linéaires Lipschitziens. La dernière partie de ce travail concerne la stabilisation et la commande basée observateurs des systèmes singuliers non linéaires. L'objec
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49

Gaoseb, Frans Otto. "Spectral factorization of matrices." Diss., 2020. http://hdl.handle.net/10500/26844.

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Abstract in English<br>The research will analyze and compare the current research on the spectral factorization of non-singular and singular matrices. We show that a nonsingular non-scalar matrix A can be written as a product A = BC where the eigenvalues of B and C are arbitrarily prescribed subject to the condition that the product of the eigenvalues of B and C must be equal to the determinant of A. Further, B and C can be simultaneously triangularised as a lower and upper triangular matrix respectively. Singular matrices will be factorized in terms of nilpotent matrices and otherwise over
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50

Lo, Ja-Yaw, and 羅嘉耀. "Singular Surfaces and Regular Domains of Tridiagonal Matrices." Thesis, 1989. http://ndltd.ncl.edu.tw/handle/57229348429464493498.

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碩士<br>國立清華大學<br>數學研究所<br>77<br>This paper is concerned with tridiagonal matrices of the form ┌ ┐ │g(1) 1 │ │ 1 g(2) 1 │ 　　A(g)=│ . . . │. │ 1 g(n-1) 1 │ │ 1 g(n)│ └ ┘ where g=(g(1),g(2),...,g(n)) is a real vector in Rn. We treat such a matrix as a function of its diagonal vector g=(g(1),g(2),...,g(n)) and investigate, by means of a three-term recurrence relation, the properties of a pa
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