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Dissertations / Theses on the topic 'Method of matrices'

Author: Grafiati

Published: 5 June 2025

Last updated: 1 August 2025

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1

Cavender, Terri A. "The Use of the Power Method to Find Dominant Eigenvalues of Matrices." Thesis, University of North Texas, 1992. https://digital.library.unt.edu/ark:/67531/metadc501200/.

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This paper is the result of a study of the power method to find dominant eigenvalues of square matrices. It introduces ideas basic to the study and shows the development of the power method for the most well-behaved matrices possible, and it explores exactly which other types of matrices yield to the power method. The paper also discusses a type of matrix typically considered impossible for the power method, along with a modification of the power method which works for this type of matrix. It gives an overview of common extensions of the power method. The appendices contain BASIC versions of t

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2

Masucci, Antonia Maria. "Moments method for random matrices with applications to wireless communication." Thesis, Supélec, 2011. http://www.theses.fr/2011SUPL0011/document.

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Dans cette thèse, on étudie l'application de la méthode des moments pour les télécommunications. On analyse cette méthode et on montre son importance pour l'étude des matrices aléatoires. On utilise le cadre de probabilités libres pour analyser cette méthode. La notion de produit de convolution/déconvolution libre peut être utilisée pour prédire le spectre asymptotique de matrices aléatoires qui sont asymptotiquement libres. On montre que la méthode de moments est un outil puissant même pour calculer les moments/moments asymptotiques de matrices qui n'ont pas la propriété de liberté asymptotiq

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3

Jonsson, Sebastian. "Method Development forQuantification of Total ReducedSulfur Compounds in Liquid Matrices." Thesis, Umeå universitet, Kemiska institutionen, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-135896.

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4

Xie, Xiaohui. "A matrix free method for unconstrained optimization problems." HKBU Institutional Repository, 2011. http://repository.hkbu.edu.hk/etd_ra/1281.

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5

Wong, Mei Ning. "Quasi-Monte Carlo sampling for computing the trace of a function of a matrix." HKBU Institutional Repository, 2002. http://repository.hkbu.edu.hk/etd_ra/436.

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6

Benigni, Lucas. "Dynamics of eigenvectors of random matrices and eigenvalues of nonlinear models of matrices." Thesis, Sorbonne Paris Cité, 2019. http://www.theses.fr/2019USPCC003/document.

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Cette thèse est constituée de deux parties indépendantes. La première partie concerne l'étude des vecteurs propres de matrices aléatoires de type Wigner. Dans un premier temps, nous étudions la distribution des vecteurs propres de matrices de Wigner déformées, elles consistent en une perturbation d'une matrice de Wigner par une matrice diagonale déterministe. Si les deux matrices sont du même ordre de grandeur, il a été prouvé que les vecteurs propres se délocalisent complètement et les valeurs propres rentrent dans la classe d'universalité de Wigner-Dyson-Mehta. Nous étudions ici une phase in

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7

Liang, Wanzhen. "Localized-denisty-matrix method and its application to nano-size systems." Hong Kong : University of Hong Kong, 2001. http://sunzi.lib.hku.hk/hkuto/record.jsp?B22718771.

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8

Vaquer, Charles. "Optimisation du dimensionnement et comportement des matrices frettees." Toulouse 3, 1988. http://www.theses.fr/1988TOU30024.

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9

Ohtani, Makiko. "Large-Scale Quasi-Dynamic Earthquake Cycle Simulations with Hierarchical Matrices Method." 京都大学 (Kyoto University), 2015. http://hdl.handle.net/2433/199109.

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10

Cordell, Rebecca. "Liquid chromatography mass spectrometry method for nucleotide profiling in biological matrices." Thesis, University of Nottingham, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.430302.

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11

Sprague, William Webb. "Wood's Method -- a Method for Fitting Leslie Matrices from Age-Sex Population Data, with some Practical Applications." Thesis, University of California, Berkeley, 2014. http://pqdtopen.proquest.com/#viewpdf?dispub=3616579.

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<p> This dissertation is dedicated to an exploration of "Wood's Method" -- a novel approach to fitting demographic transition matrices to age and sex population count data. Demographic transition matrices, otherwise known as "Leslie matrices," are extensively used to forecast population by age, sex, and other characteristics. Our implementation of Wood's Method simplifies the creation of age and sex population forecasts greatly by reducing the amount of data necessary to create a demographic transition matrix. Furthermore, the method can be used to infer a demographic component of change

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12

Rabe, Hermann. "The finite section method for infinite Vandermonde matrices and applications / H. Rabe." Thesis, North-West University, 2007. http://hdl.handle.net/10394/2034.

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13

梁万珍 and Wanzhen Liang. "Localized-denisty-matrix method and its application to nano-size systems." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2001. http://hub.hku.hk/bib/B31242042.

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14

Oliveira, Santos Patrick. "On the moment method for inhomogeneous matrices : From regular graphs to quantum channels." Electronic Thesis or Diss., Université Gustave Eiffel, 2024. http://www.theses.fr/2024UEFL2025.

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Cette thèse étudie les statistiques spectrales de matrices aléatoires inhomogènes, telles que les graphes aléatoires pondérés, les matrices de covariance et les canaux quantiques. L'une des principales techniques de preuve est l'adaptation de la méthode des moments à ces modèles. Nos objectifs sont doubles. Premièrement, nous étudions la distribution spectrale limite des graphes dirigés réguliers, des canaux quantiques et des produits tensoriels de variables aléatoires non commutatives. Deuxièmement, nous établissons des limites asymptotiques et non asymptotiques précises sur la norme de ces m

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15

Hu, Jing. "Solving linear programs using primal-dual subproblem simplex method and quasi-explicit matrices." Diss., Georgia Institute of Technology, 1996. http://hdl.handle.net/1853/24863.

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16

Tang, Zhihui. "Fast transforms based on structured matrices with applications to the fast multipole method." College Park, Md. : University of Maryland, 2003. http://hdl.handle.net/1903/142.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2003.<br>Thesis research directed by: Applied Mathematics and Scientific Computation Program. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.

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17

Frederick, Jennifer Leanne. "EVALUATION OF SEPARATION METHOD ADDITIVES FOR THE RECOVERY OF BACTERIA FROM FOOD MATRICES." UKnowledge, 2012. http://uknowledge.uky.edu/bae_etds/10.

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The microbiological testing of foods is a well-established science. Due to the severity of foodborne pathogen illnesses, the widespread use and implementation of rapid detection methods in food testing labs is increasingly important. The first step for successful testing is sampling. Surfactants have been highly used in food microbiology, but there is not much, if any, published research about the use of fatty alcohols and chemical dispersants as aids in microbial separation. The microbial extraction efficiency of Escherichia coli K12 and Listeria innocua from hot dogs, spinach, and milk was m

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18

Rajendran, Rajanikanth. "A Novel Two-Stage Adaptive Method for Estimating Large Covariance and Precision Matrices." Thesis, University of North Texas, 2019. https://digital.library.unt.edu/ark:/67531/metadc1538782/.

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Estimating large covariance and precision (inverse covariance) matrices has become increasingly important in high dimensional statistics because of its wide applications. The estimation problem is challenging not only theoretically due to the constraint of its positive definiteness, but also computationally because of the curse of dimensionality. Many types of estimators have been proposed such as thresholding under the sparsity assumption of the target matrix, banding and tapering the sample covariance matrix. However, these estimators are not always guaranteed to be positive-definite, especi

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19

Stomberg, Christopher. "Specification testing with information matrix equalities /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 2000. http://wwwlib.umi.com/cr/ucsd/fullcit?p9975043.

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20

Weissinger, Judith. "Development of a discrete adaptive gridless method for the solution of elliptic partial differential equations." Thesis, Cranfield University, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.273483.

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21

Pallavicini, Nicola. "Method development for isotope analysis of trace and ultra-trace elements in environmental matrices." Doctoral thesis, Luleå tekniska universitet, Institutionen för samhällsbyggnad och naturresurser, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-59705.

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The increasing load of toxic elements entering the ecosystems, as a consequence of anthropogenic processes, has grown public awareness in the last decades, resulting in a great number of studies focusing on pollution sources, transport, distribution, interactions with living organisms and remediation. Physical/chemical processes that drive the uptake, assimilation, compartmentation and translocation of heavy metals in biota has received a great deal of attention recently, since elemental concentrations and isotopic composition in biological matrices can be used as probes of both natural and a

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22

Chang, Janis. "Analysis of ordered categorical data." Thesis, University of British Columbia, 1988. http://hdl.handle.net/2429/27857.

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Methods of testing for a location shift between two populations in a longitudinal study are investigated when the data of interest are ordered, categorical and non-linear. A non-standard analysis involving modelling of data over time with transition probability matrices is discussed. Next, the relative efficiencies of statistics more frequently used for the analysis of such categorical data at a single time point are examined. The Wilcoxon rank sum, McCullagh, and 2 sample t statistic are compared for the analysis of such cross sectional data using simulation and efficacy calculations. Simulat

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23

Gunay, Melih. "Representation Of Covariance Matrices In Track Fusion Problems." Master's thesis, METU, 2007. http://etd.lib.metu.edu.tr/upload/12609026/index.pdf.

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Covariance Matrix in target tracking algorithms has a critical role at multi- sensor track fusion systems. This matrix reveals the uncertainty of state es- timates that are obtained from diferent sensors. So, many subproblems of track fusion usually utilize this matrix to get more accurate results. That is why this matrix should be interchanged between the nodes of the multi-sensor tracking system. This thesis mainly deals with analysis of approximations of the covariance matrix that can best represent this matrix in order to efectively transmit this matrix to the demanding site. Kullback-Leib

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24

He, Yang. "Quantification of Carbon Nanotubes in the Environmental Matrices by Using a Microwave Induced Heating Method." University of Cincinnati / OhioLINK, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=ucin154392139689757.

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25

Upadrasta, Bharat. "Boolean factor analysis a review of a novel method of matrix decomposition and neural network Boolean factor analysis /." Diss., Online access via UMI:, 2009.

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Thesis (M.S.)--State University of New York at Binghamton, Thomas J. Watson School of Engineering and Applied Science, Department of Systems Science and Industrial Engineering, 2009.<br>Includes bibliographical references.

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26

Geronimi, Sylvain. "Determination d'ensembles essentiels minimaux dans les matrices creuses : application a l'analyse des circuits." Toulouse 3, 1987. http://www.theses.fr/1987TOU30104.

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27

Petkevičiūtė, Daiva. "Mechaninių virpesių sistemą aprašančių diferencialinių lygčių sprendinio reiškimas baigtine eksponenčių suma." Master's thesis, Lithuanian Academic Libraries Network (LABT), 2007. http://vddb.library.lt/obj/LT-eLABa-0001:E.02~2007~D_20070816_142415-98558.

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Šiame darbe tiriamos naujo metodo, skirto funkcijų aproksimavimui baigtine eksponenčių suma galimybės, taikant šį metodą konkrečios diferencialinių lygčių sistemos, aprašančios mechaninius virpesius, sprendiniams. Viena iš galimų darbe pristatomos mechaninių virpesių sistemos taikymo sričių – jūros bangų arba vėjo sukeltus virpesius panaudoti kaip atsinaujinantį energijos šaltinį. Tokių mechanizmų veikimo principai prieš pradedant kurti realų veikiantį modelį analizuojami taikant matematinį modeliavimą. Sudėtingos lygčių sistemos sprendiniai, priklausomai nuo sprendimo metodo, gaunami laipsnin

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28

Ziad, Abderrahmane. "Contributions au calcul numérique des valeurs propres des matrices normales." Saint-Etienne, 1996. http://www.theses.fr/1996STET4001.

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Première partie: la convergence globale de l'algorithme QR avec le shift de Rayleigh appliquée à une matrice normale Hessenberg supérieure irréductible est démontrée. Ensuite nous avons proposé un shift avec lequel la convergence est cubique, lorsque la matrice est symétrique tridiagonale irréductible. Deuxième partie: nous avons proposé une méthode pour le calcul d'une valeur propre de rang donné d'une matrice symétrique tridiagonale irréductible, cette méthode est un procédé d'initialisation de la méthode dite d'itération inverse de Rayleigh

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29

Narendra, Chaitanya. "The use of the source reconstruction method for antenna characterization." IEEE, 2016. http://hdl.handle.net/1993/31751.

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This thesis studies the use of the Source Reconstruction Method (SRM) to characterize antennas. The SRM calculates equivalent sources/currents on an arbitrarily shaped reconstruction surface to represent the original antenna. This is done by enforcing that the original antenna and equivalent currents radiate the same field at user selected measurement locations. These equivalent currents spatially characterize the original antenna because they can be used in direct radiation problems to obtain field estimates anywhere outside the reconstruction surface, including the far-field. First a sphe

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30

Boyanova, Petia. "On Numerical Solution Methods for Block-Structured Discrete Systems." Doctoral thesis, Uppsala universitet, Avdelningen för beräkningsvetenskap, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-173530.

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The development, analysis, and implementation of efficient methods to solve algebraic systems of equations are main research directions in the field of numerical simulation and are the focus of this thesis. Due to their lesser demands for computer resources, iterative solution methods are the choice to make, when very large scale simulations have to be performed. To improve their efficiency, iterative methods are combined with proper techniques to accelerate convergence. A general technique to do this is to use a so-called preconditioner. Constructing and analysing various preconditioning meth

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31

Abril, Bucero Marta. "Matrices de moments, géométrie algébrique réelle et optimisation polynomiale." Thesis, Nice, 2014. http://www.theses.fr/2014NICE4118/document.

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Le but de cette thèse est de calculer l'optimum d'un polynôme sur un ensemble semi-algébrique et les points où cet optimum est atteint. Pour atteindre cet objectif, nous combinons des méthodes de base de bord avec la hiérarchie de relaxation convexe de Lasserre afin de réduire la taille des matrices de moments dans les problèmes de programmation semi-définie positive (SDP). Afin de vérifier si le minimum est atteint, nous apportons un nouveau critère pour vérifier l'extension plate de Curto Fialkow utilisant des bases orthogonales. En combinant ces nouveaux résultats, nous fournissons un nouve

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32

Benner, P., R. Byers, and E. Barth. "HAMEV and SQRED: Fortran 77 Subroutines for Computing the Eigenvalues of Hamiltonian Matrices Using Van Loanss Square Reduced Method." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800926.

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This paper describes LAPACK-based Fortran 77 subroutines for the reduction of a Hamiltonian matrix to square-reduced form and the approximation of all its eigenvalues using the implicit version of Van Loan's method. The transformation of the Hamilto- nian matrix to a square-reduced Hamiltonian uses only orthogonal symplectic similarity transformations. The eigenvalues can then be determined by applying the Hessenberg QR iteration to a matrix of half the order of the Hamiltonian matrix and taking the square roots of the computed values. Using scaling strategies similar to those suggested for al

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33

Boulard, Lise [Verfasser], Joachim [Gutachter] Scholz, and Thomas A. [Gutachter] Ternes. "Method development for the quantification of pharmaceuticals in aqueous environmental matrices / Lise Boulard ; Gutachter: Joachim Scholz, Thomas A. Ternes." Koblenz, 2021. http://d-nb.info/1224885457/34.

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34

Rhazi, Dilal. "Prédiction par la méthode des matrices de transfert de la réponse vibroacoustique des structures complexes multimatériaux sous excitation mécanique et source ponctuelle." Mémoire, Université de Sherbrooke, 2007. http://savoirs.usherbrooke.ca/handle/11143/1409.

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In the field of aeronautics (Aircraft, helicopters, space launchers...), as in the field of the automobile, reducing the harmful effects of acoustics constitutes a major concern at the international level and justifies the call for further research. With these challenges in mind, the manufacturers have expressed the need for simple models immediately available as early as the stage of preliminary drafts. This Master's Thesis presents the study and the validation of three different approaches to meet this industrial need. The first approach is based on the propagation of waves in the structure;

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35

Björklund, Sofie. "Validation of a Cleanup Method for Analysis of Novel Brominated Flame Retardants in Biota Matrices Sofie Björklund 2015-05-30 Supervisors Ingrid Ericson." Thesis, Örebro universitet, Institutionen för naturvetenskap och teknik, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:oru:diva-45593.

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Brominated flame retardants is a group of compounds present in numerous types of materials in our surroundings. Although their purpose is to slow the progression of a fire, many has been shown to be toxic to the environment. Novel brominated flame retardants have been introduced to the market as old ones have been removed. Reliable methods are crucial to be able to monitor how the novel brominated flame retardant spread and accumulate in the environment. To achieve this, a method validation of a cleanup method using multilayer silica followed by analysis by atmospheric pressure gas chromatogra

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36

Alhojilan, Yazid Yousef M. "Higher-order numerical scheme for solving stochastic differential equations." Thesis, University of Edinburgh, 2016. http://hdl.handle.net/1842/15973.

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We present a new pathwise approximation method for stochastic differential equations driven by Brownian motion which does not require simulation of the stochastic integrals. The method is developed to give Wasserstein bounds O(h3/2) and O(h2) which are better than the Euler and Milstein strong error rates O(√h) and O(h) respectively, where h is the step-size. It assumes nondegeneracy of the diffusion matrix. We have used the Taylor expansion but generate an approximation to the expansion as a whole rather than generating individual terms. We replace the iterated stochastic integrals in the met

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37

Hayes, Taylor Ray. "A Novel Method for Analyzing Sequential Eye Movements Reveals the Relationship Between Learning and Strategy on Raven's Advanced Progressive Matrices." The Ohio State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=osu1299420177.

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38

Abear, Saeed Aboglida Saeed. "Convergence Analysis of Modulus Based Methods for Linear Complementarity Problems." Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 2019. https://www.cris.uns.ac.rs/record.jsf?recordId=110168&source=NDLTD&language=en.

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The linear complementarity problems (LCP) arise from linear or quadratic programming, or from a variety of other particular application problems, like boundary problems, network equilibrium problems,contact problems, market equilibria problems, bimatrix games etc. Recently, many people have focused on the solver of LCP with a matrix having some kind of special property, for example, when this matrix is an H+-matrix, since this property is a sufficient condition for the existence and uniqueness of the soluition of LCP. Generally speaking, solving LCP can be approached from two essentially diffe

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39

Solomon, Lazarus. "Study of spin-lattice relaxation rates in solids lattice-frame method compared with quantum density-matrix method, and Glauber dynamic /." Master's thesis, Mississippi State : Mississippi State University, 2006. http://library.msstate.edu/etd/show.asp?etd=etd-11062006-114635.

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40

Antal, Judit. "Fit indices for the Rasch model." Columbus, OH : Ohio State University, 2003. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1054222470.

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Thesis (Ph. D.)--Ohio State University, 2003.<br>Title from first page of PDF file. Document formatted into pages; contains xiii, 102 p.: ill (some col.). Includes abstract and vita. Advisor: Ayres G.D'Costa, College of Education. Includes bibliographical references (p. 97-102).

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41

El-Ghajiji, Otman Abubaker. "Investigations into the suitability of parallel computing architectures for the solution of large sparse matrices using the preconditioned conjugate gradient method." Thesis, University of Bath, 1995. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.299647.

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42

Archid, Atika. "Méthodes par blocs adaptées aux matrices structurées et au calcul du pseudo-inverse." Thesis, Littoral, 2013. http://www.theses.fr/2013DUNK0394/document.

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Nous nous intéressons dans cette thèse, à l'étude de certaines méthodes numériques de type krylov dans le cas symplectique, en utilisant la technique de blocs. Ces méthodes, contrairement aux méthodes classiques, permettent à la matrice réduite de conserver la structure Hamiltonienne ou anti-Hamiltonienne ou encore symplectique d'une matrice donnée. Parmi ces méthodes, nous nous sommes intéressés à la méthodes d'Arnoldi symplectique par bloc que nous appelons aussi bloc J-Arnoldi. Notre but essentiel est d’étudier cette méthode de façon théorique et numérique, sur la nouvelle structure du K-mo

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Kraay, Andrea L. (Andrea Lorraine) 1976. "Physically constrained maximum likelihood method for snapshot deficient adaptive array processing." Thesis, Massachusetts Institute of Technology, 2003. http://hdl.handle.net/1721.1/87331.

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Thesis (Elec.E. and S.M. in Electrical Engineering)--Joint Program in Applied Ocean Physics and Engineering (Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science; and the Woods Hole Oceanographic Institution), 2003.<br>"February 2003."<br>Includes bibliographical references (leaves 139-141).<br>by Andrea L. Kraay.<br>Elec.E.and S.M.in Electrical Engineering

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Barclay, Victoria K. H. "Development of LC-MS/MS Methods for the Analysis of Chiral and Achiral Pharmaceuticals and Metabolites in Aqueous Environmental Matrices." Doctoral thesis, Uppsala universitet, Avdelningen för analytisk farmaceutisk kemi, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-171550.

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This thesis describes the development of liquid chromatography tandem mass spectrometry (LC-MS/MS) methods for the trace analysis of active pharmaceutical ingredients (APIs) and their metabolites in aqueous environmental matrices. The research was focused on the development of chiral LC-MS/MS methods for the analysis of fluoxetine and metoprolol, as well as their chiral metabolites in environmental water samples. A method was also developed for the achiral compounds, diazepam and nordiazepam. The LC-MS/MS methods were validated by the use of the isotope-labeled compounds. As these isotope-labe

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Odi, A. R. A. "Bonded Repair of Composite Structures; A Finite Element Approach." Thesis, Department of Materials and Medical Sciences, 2009. http://hdl.handle.net/1826/3893.

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This thesis addresses the issues surrounding the application of the finite element method to analyse composite structure repairs with an emphasis on aircraft applications. A comprehensive literature survey has been carried out for this purpose and the results are presented. A preliminary study and a comparative study of different modelling approaches have been completed. These studies aim to explore and identify the problems in modelling repairso n simplec ompositep anelsw ith speciala ttention given to adhesivem odelling. Three modelling approaches have been considered: Siener's model which i

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Daquin, Priscillia. "Méthodes quasi-optimales pour la résolution des équations intégrales de frontière en électromagnétisme." Phd thesis, Toulouse, INPT, 2017. http://oatao.univ-toulouse.fr/19291/1/DAQUIN_Priscillia.pdf.

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Il existe une grande quantité de méthodes numériques adaptées d’une part à la modélisation, et d'autre part à la résolution des équations de Maxwell. En particulier, la méthode des éléments nis de frontière (BEM), ou méthode des Moments (MoM), semble appropriée pour la mise en équation des phénomènes de diffraction par des objets parfaitement conducteurs, en limitant le cadre de l'étude à la frontière entre l'objet diffractant et le milieu extérieur. Cette méthode mène systématiquement à la résolution d’un système linéaire dense, que nous parvenons à compresser en l'approchant numériquement pa

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Song, Huimin. "Rigorous joining of advanced reduced-dimensional beam models to 3D finite element models." Diss., Georgia Institute of Technology, 2010. http://hdl.handle.net/1853/33901.

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This dissertation developed a method that can accurately and efficiently capture the response of a structure by rigorous combination of a reduced-dimensional beam finite element model with a model based on full two-dimensional (2D) or three-dimensional (3D) finite elements. As a proof of concept, a joint 2D-beam approach is studied for planar-inplane deformation of strip-beams. This approach is developed for obtaining understanding needed to do the joint 3D-beam model. A Matlab code is developed to solve achieve this 2D-beam approach. For joint 2D-beam approach, the static response of a basic

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Odi, A. Randolph A. "Bonded repair of composite structures : a finite element approach." Thesis, Cranfield University, 1998. http://dspace.lib.cranfield.ac.uk/handle/1826/3893.

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This thesis addresses the issues surrounding the application of the finite element method to analyse composite structure repairs with an emphasis on aircraft applications. A comprehensive literature survey has been carried out for this purpose and the results are presented. A preliminary study and a comparative study of different modelling approaches have been completed. These studies aim to explore and identify the problems in modelling repairso n simplec ompositep anelsw ith speciala ttention given to adhesivem odelling. Three modelling approaches have been considered: Siener's model which i

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Rudberg, Elias. "Quantum Chemistry for Large Systems." Doctoral thesis, Stockholm : Bioteknologi, Kungliga Tekniska högskolan, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4561.

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Weisbecker, Clément. "Improving multifrontal solvers by means of algebraic Block Low-Rank representations." Phd thesis, Toulouse, INPT, 2013. http://oatao.univ-toulouse.fr/10506/1/weisbecker.pdf.

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We consider the solution of large sparse linear systems by means of direct factorization based on a multifrontal approach. Although numerically robust and easy to use (it only needs algebraic information: the input matrix A and a right-hand side b, even if it can also digest preprocessing strategies based on geometric information), direct factorization methods are computationally intensive both in terms of memory and operations, which limits their scope on very large problems (matrices with up to few hundred millions of equations). This work focuses on exploiting low-rank approximations on mul

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