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Relevant bibliographies by topics / Nonlinear eigenvalue problems

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Dissertations / Theses

Academic literature on the topic 'Nonlinear eigenvalue problems'

Author: Grafiati

Published: 4 June 2021

Last updated: 26 April 2022

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Dissertations / Theses on the topic "Nonlinear eigenvalue problems"

1

Lippert, Ross Adams. "Nonlinear eigenvalue problems." Thesis, Massachusetts Institute of Technology, 1998. http://hdl.handle.net/1721.1/50013.

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2

Tretter, Christiane. "On l-nonlinear [lambda-nonlinear] boundary eigenvalue problems /." Berlin : Akad.-Verl, 1993. http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=004392929&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA.

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3

Elssel, Kolja. "Automated multilevel substructuring for nonlinear eigenvalue problems." Berlin dissertation.de, 2006. http://deposit.d-nb.de/cgi-bin/dokserv?id=2887072&prov=M&dok_var=1&dok_ext=htm.

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4

Brennan, Michael C. "Rational Interpolation Methods for Nonlinear Eigenvalue Problems." Thesis, Virginia Tech, 2018. http://hdl.handle.net/10919/84924.

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This thesis investigates the numerical treatment of nonlinear eigenvalue problems. These problems are defined by the condition $T(lambda) v = boldsymbol{0}$, with $T: C to C^{n times n}$, where we seek to compute the scalar-vector pairs, $lambda in C$ and nonzero $ v in C^{n}$. The first contribution of this work connects recent contour integration methods to the theory and practice of system identification. This observation leads us to explore rational interpolation for system realization, producing a Loewner matrix contour integration technique. The second development of this work studies th

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5

Akinola, Richard O. "Numerical solution of linear and nonlinear eigenvalue problems." Thesis, University of Bath, 2010. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.520903.

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Given a real parameter-dependent matrix, we obtain an algorithm for computing the value of the parameter and corresponding eigenvalue for which two eigenvalues of the matrix coalesce to form a 2-dimensional Jordan block. Our algorithms are based on extended versions of the implicit determinant method of Spence and Poulton [55]. We consider when the eigenvalue is both real and complex, which results in solving systems of nonlinear equations by Newton’s or the Gauss-Newton method. Our algorithms rely on good initial guesses, but if these are available, we obtain quadratic convergence. Next, we d

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6

Solov'ëv, Sergey I. "Preconditioned iterative methods for monotone nonlinear eigenvalue problems." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200600657.

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This paper proposes new iterative methods for the efficient computation of the smallest eigenvalue of the symmetric nonlinear matrix eigenvalue problems of large order with a monotone dependence on the spectral parameter. Monotone nonlinear eigenvalue problems for differential equations have important applications in mechanics and physics. The discretization of these eigenvalue problems leads to ill-conditioned nonlinear eigenvalue problems with very large sparse matrices monotone depending on the spectral parameter. To compute the smallest eigenvalue of large matrix nonlinear eigenvalue probl

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7

Solov'ëv, Sergey I. "Preconditioned iterative methods for a class of nonlinear eigenvalue problems." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200601389.

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In this paper we develop new preconditioned iterative methods for solving monotone nonlinear eigenvalue problems. We investigate the convergence and derive grid-independent error estimates for these methods. Numerical experiments demonstrate the practical effectiveness of the proposed methods for a model problem.

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8

Betcke, Marta. "Iterative projection methods for symmetric nonlinear eigenvalue problems with applications." Berlin dissertation.de, 2007. http://www.dissertation.de/buch.php3?buch=5233.

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9

Bari, Rehana. "Local and global bifurcation theory for multiparameter nonlinear eigenvalue problems." Thesis, Heriot-Watt University, 1995. http://hdl.handle.net/10399/755.

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10

Lindsay, Alan Euan. "Topics in the asymptotic analysis of linear and nonlinear eigenvalue problems." Thesis, University of British Columbia, 2010. http://hdl.handle.net/2429/26271.

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In Applied Mathematics, linear and nonlinear eigenvalue problems arise frequently when characterizing the equilibria of various physical systems. In this thesis, two specific problems are studied, the first of which has its roots in micro engineering and concerns Micro-Electro Mechanical Systems (MEMS). A MEMS device consists of an elastic beam deflecting in the presence of an electric field. Modelling such devices leads to nonlinear eigenvalue problems of second and fourth order whose solution properties are investigated by a variety of asymptotic and numerical techniques. The second probl

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