Suchergebnisse - Numerical solution of nonlinear eigenvalue AND eigenvector problems*

Improving Performance of Contour Integral-Based Nonlinear Eigensolvers with Infinite GMRES: Improving performance of contour integral-based nonlinear eigensolvers with infinite GMRES

Autoren: Yuqi Liu Jose E. Roman Meiyue Shao

Quelle: SIAM Journal on Scientific Computing. 47:B595-B617

Schlagwörter: Numerical solution of nonlinear eigenvalue and eigenvector problems, Numerical computation of eigenvalues and eigenvectors of matrices, infinite Arnoldi, contour integration, nonlinear eigenvalue problem, FOS: Mathematics, Krylov methods, companion linearization, Mathematics - Numerical Analysis, Numerical Analysis (math.NA)

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2403.19309
https://zbmath.org/8037158
https://doi.org/10.1137/24m1650375

A MULTIGRID-LANCZOS ALGORITHM FOR THE NUMERICAL SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS: A multigrid-Lanczos algorithm for the numerical solutions of nonlinear eigenvalue problems.

Autoren: C.-S. Chien S.-L. Chang

Quelle: International Journal of Bifurcation and Chaos. 13:1217-1228

Schlagwörter: Bifurcations in context of PDEs, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, convergence, Lanczos method, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, nonlinear elliptic eigenvalue problems, Stability and convergence of numerical methods for boundary value problems involving PDEs, singular points, numerical results, 01 natural sciences, Global methods, including homotopy approaches to the numerical solution of nonlinear equations, Numerical solution of nonlinear eigenvalue and eigenvector problems, continuation method, bifurcation, minimal residual algorithm, 0101 mathematics, Multigrid method

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2141855
https://doi.org/10.1142/s0218127403007175

On the numerical solution of nonlinear eigenvalue problems

Autoren: Eric Chu Alan L. Andrew Peter Lancaster

Quelle: Computing. 55:91-111

Schlagwörter: Numerical computation of eigenvalues and eigenvectors of matrices, numerical examples, Newton's method, matrix equations, scaling, nonlinear eigenvalue problem, eigenvectors, 0101 mathematics, algorithms, 01 natural sciences, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones)

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/783949
https://doi.org/10.1007/bf02238095
https://dblp.uni-trier.de/db/journals/computing/computing55.html#AndrewCL95
https://link.springer.com/article/10.1007/BF02238095
https://doi.org/10.1007/BF02238095

Solving the quadratic eigenvalue problem expressed in non-monomial bases by the tropical scaling

Autoren: Chen, Hongjia Wang, Teng Zhang, Chun-Hua et al.

Quelle: Advances in Computational Mathematics. 50

Schlagwörter: Numerical solution of nonlinear eigenvalue and eigenvector problems, quadratic eigenvalue problem, tropical scaling, Taylor basis, Lagrange basis, block Kronecker linearization, backward error, Newton basis

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7964511
https://doi.org/10.1007/s10444-024-10214-8

Numerical solution of linear and nonlinear eigenvalue problems

Autoren: Akinola, Richard O. Spence, Alastair

Weitere Verfasser: Akinola, Richard O. Spence, Alastair

Schlagwörter: 519, coalesce, 2-dimensional Jordan block, eigenvalues, defective

Zugangs-URL: https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.520903

Sensitivities of eigenvalues and eigenvectors of problems nonlinear in the eigenparameter

Autoren: Peter Lancaster Alan L. Andrew K.-W. Eric Chu

Quelle: Applied Mathematics Letters. 5:69-72

Schlagwörter: Numerical computation of eigenvalues and eigenvectors of matrices, Numerical solution of nonlinear eigenvalue and eigenvector problems, Applied Mathematics, analytic matrix function, vector parameter, eigenvalue problem, eigenvectors, 0101 mathematics, sensitivities of eigenvalues and eigenvectors, partial derivatives of eigenvalues, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://core.ac.uk/display/82482911
https://www.sciencedirect.com/science/article/pii/0893965992900428

Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods: Nonlinear eigenvalue problems: A challenge for modern eigenvalue methods

Autoren: Volker Mehrmann Heinrich Voss

Quelle: GAMM-Mitteilungen. 27:121-152

Schlagwörter: Numerical solution of nonlinear eigenvalue and eigenvector problems, Arnoldi method, rational eigenvalue problems, linearization, Jacobi-Davidson method, numerical results, 0101 mathematics, 01 natural sciences, Krylov subspace method

Dateibeschreibung: application/xml

Zugangs-URL: https://tore.tuhh.de/bitstream/11420/63/1/rep83.pdf
https://tore.tuhh.de/bitstream/11420/63/1/rep83.pdf
http://tubdokservice.tub.tuhh.de/redirect.php?id=2005/116/pdf/rep83.pdf
https://core.ac.uk/display/22871870
https://www.mat.tuhh.de/forschung/rep/rep83.pdf
https://onlinelibrary.wiley.com/doi/abs/10.1002/gamm.201490007
https://www.mat.tu-harburg.de/forschung/rep/rep83.pdf

An Arnoldi Method for Nonlinear Eigenvalue Problems: An Arnoldi method for nonlinear eigenvalue problems

Autoren: Voß, Heinrich

Quelle: BIT Numerical Mathematics. 44:387-401

Schlagwörter: Nichtlineares Eigenwertproblem, Inversion, Systems arising from the discretization of structural vibration problems, 01 natural sciences, Numerical solution of nonlinear eigenvalue and eigenvector problems, iterative projection method, numerical example, shift-and-invert Arnoldi method, residual inverse iteration, Projektionsverfahren, damped vibrations of a structure, Mathematik, nonlinear eigenvalue problem, 0101 mathematics, Eigenvalues, eigenvectors, rational eigenvalue problem

Dateibeschreibung: application/xml

Zugangs-URL: https://tore.tuhh.de/bitstream/11420/147/1/rep56.pdf
https://portal.dnb.de/opac.htm?method=simpleSearch&cqlMode=true&query=idn%3D1048408353
https://tore.tuhh.de/bitstream/11420/147/1/rep56.pdf
https://link.springer.com/article/10.1023%2FB%3ABITN.0000039424.56697.8b
https://tore.tuhh.de/handle/11420/147
https://d-nb.info/1048408353/34

Solving large nonlinear generalized eigenvalue problems from Density Functional Theory calculations in parallel: Solving large nonlinear generalized eigenvalue problems from density functional theory calculations in parallel

Autoren: Claus Bendtsen Lars Bruno Hansen O. H. Nielsen

Quelle: Applied Numerical Mathematics. 37:189-199

Schlagwörter: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, self-consistent field, Condensed Matter - Materials Science, eigensolution, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, Materials Science (cond-mat.mtrl-sci), FOS: Physical sciences, Parallel numerical computation, 01 natural sciences, Atomic physics, Numerical solution of nonlinear eigenvalue and eigenvector problems, iterative Davidson algorithm, large eigenvalue problems, quantum mechanical ground state of electrons, nonlinear matrix eigenproblem, 0101 mathematics, parallel computation, density functional theory, PDEs in connection with quantum mechanics

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/cond-mat/0011107
http://arxiv.org/abs/cond-mat/0011107
https://www.sciencedirect.com/science/article/abs/pii/S0168927400000386#!
https://orbit.dtu.dk/en/publications/solving-large-nonlinear-generalized-eigenvalue-problems-from-density-functional-theory-calculations-in-parallel(415e2d0c-e471-4d24-aaf0-089e6598b558).html
https://www.sciencedirect.com/science/article/pii/S0168927400000386

Numerical Solution of Multiparameter Eigenvalue Problems: Numerical solution of multiparameter eigenvalue problems

Autoren: R. E. Müller

Quelle: Zeitschrift für Angewandte Mathematik und Mechanik Band 62, Heft 12 ISBN: 9783112549209

Schlagwörter: Numerical solution of nonlinear eigenvalue and eigenvector problems, turning points, numerical examples, Ordinary differential operators, multiparameter eigenvalue problems, bifurcation, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations, continuation methods, nonlinear eigenvalue problems, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3900083
https://doi.org/10.1002/zamm.19820621206
http://ui.adsabs.harvard.edu/abs/1982ZaMM...62..681M/abstract

Free and forced vibrations of trusses by Fourier decomposition, and homotopy methods for nonlinear matrix eigenvalue problems: Free and forced vibrations of trusses by Fourier decomposition, and homotopy methods for nonlinear matrix eigenvalue problems. II: Properties and supplements

Autoren: E. Adams Michael Plum

Quelle: Journal of Mathematical Analysis and Applications. 275:333-353

Schlagwörter: separation of variables, Applied Mathematics, elastic frames, 02 engineering and technology, 01 natural sciences, Numerical solution of nonlinear eigenvalue and eigenvector problems, clamping, free vibrations, Vibrations in dynamical problems in solid mechanics, 0203 mechanical engineering, nonlinear matrix eigenvalue problems, Fourier decomposition, Spectral and related methods applied to problems in solid mechanics, frequency domain method, eigensolutions, beams, Rods (beams, columns, shafts, arches, rings, etc.), 0101 mathematics, homotopy methods, spatial vibration methods, Analysis

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/pii/S0022247X02003554
https://www.sciencedirect.com/science/article/pii/S0022247X02003554#!
https://www.sciencedirect.com/science/article/pii/S0022247X02003566
https://www.sciencedirect.com/science/article/abs/pii/S0022247X02003566

A numerical theory of lattice gas and lattice Boltzmann methods in the computation of solutions to nonlinear advective-diffusive systems

Weitere Verfasser: Elton, A

Quelle: Other Information: Thesis (Ph.D.)

Dateibeschreibung: Medium: ED; Size: Pages: (265 p)

Zugangs-URL: http://www.osti.gov/scitech/servlets/purl/6480937

A parallel continuation algorithm for nonlinear eigenvalue problems

Autoren: C.-S. Chien T.-Z. Chen M.-J. Chen et al.

Quelle: Computers & Mathematics with Applications. 27:83-97

Schlagwörter: Nonlinear eigenvalue problems, distributed memory multiprocessor, Parallel numerical computation, nonlinear eigenvalue problems, 01 natural sciences, Global methods, including homotopy approaches to the numerical solution of nonlinear equations, parallel continuation algorithm, Numerical solution of nonlinear eigenvalue and eigenvector problems, Bifurcations, Computational Mathematics, Computational Theory and Mathematics, Modelling and Simulation, semilinear eigenvalue problems, Multiprocessors, 0101 mathematics, bifurcations, Numerical continuation methods

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/571505
https://doi.org/10.1016/0898-1221(94)90151-1
https://core.ac.uk/display/82533342
https://www.sciencedirect.com/science/article/pii/0898122194901511

Numerical algorithms for nonlinear eigenproblems with eigenvector nonlinearities

Autoren: Upadhyaya, Parikshit Jarlebring, Elias, Professor Corless, Robert, Professor

Weitere Verfasser: Upadhyaya, Parikshit Jarlebring, Elias, Professor Corless, Robert, Professor

Quelle: TRITA-SCI-FOU.

Schlagwörter: numerical algorithms, nonlinear eigenproblems, multiparameter eigenvalue problem, nonlinear eigenvalue problem, eigenvector nonlinearities, nepv, scf, p-laplacian, quasi-newton, Numerical Analysis, Numerisk analys

Dateibeschreibung: electronic

Zugangs-URL: https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-305196
https://kth.diva-portal.org/smash/get/diva2:1613910/FULLTEXT01.pdf

Numerical methods for Sylvester-type matrix equations and nonlinear eigenvalue problems

Autoren: Ringh, Emil Jarlebring, Elias, Universitetslektor Karlsson, Johan, Universitetslektor et al.

Weitere Verfasser: Ringh, Emil Jarlebring, Elias, Universitetslektor Karlsson, Johan, Universitetslektor et al.

Quelle: TRITA-SCI-FOU.

Schlagwörter: Matrix equations, Lyapunov equation, Sylvester equation, nonlinear eigenvalue problems, two-parameter eigenvalue problems, Krylov methods, iterative methods, preconditioning, projection methods, Matrisekvationer, Lyapunovekvationen, Sylvesterekvationen, ickelinjära egenvärdesproblem, två-parameters egenvärdesproblem, Krylovmetoder, iterativa metoder, förkonditionering, projektionsmetoder, Tillämpad matematik och beräkningsmatematik, Applied and Computational Mathematics, Optimization and Systems Theory, Optimeringslära och systemteori, Numerical Analysis, Numerisk analys

Dateibeschreibung: electronic

Zugangs-URL: https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-292010
https://kth.diva-portal.org/smash/get/diva2:1540521/FULLTEXT01.pdf

Numerical solution of the nonlinear Helmholtz equation using nonorthogonal expansions

Weitere Verfasser: Tsynkov, S [Department of Mathematics and Center for Research in Scientific Computation (CRSC), North Carolina State University, Box 8205, Raleigh, NC 27695 (United States)]

Quelle: Journal of Computational Physics; 210; 1; Other Information: DOI: 10.1016/j.jcp.2005.04.015; PII: S0021-9991(05)00206-8; Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA)

Dateibeschreibung: Medium: X; Size: page(s) 183-224

Zugangs-URL: http://www.osti.gov/scitech/biblio/20687265

Descent Iterations for Improving Approximate Eigenpairs of Polynomial Eigenvalue Problems with General Complex Matrices: Descent iterations for improving approximate eigenpairs of polynomial eigenvalue problems with general complex matrices

Autoren: K. Ishihara

Quelle: Computing. 68:239-254

Schlagwörter: Numerical computation of eigenvalues and eigenvectors of matrices, Numerical solution of nonlinear eigenvalue and eigenvector problems, numerical examples, generalized damped Newton method, convergence, descent iteration, polynomial eigenvalue problem, generalized damped Gauss-Newton method, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1798912
https://doi.org/10.1007/s00607-001-1435-8
https://link.springer.com/article/10.1007%2Fs00607-001-1435-8
https://dblp.uni-trier.de/db/journals/computing/computing68.html#Ishihara02

Variational solution of some nonlinear eigenvalue problems. I

Autoren: Alan L. Andrew

Quelle: Journal of Mathematical Analysis and Applications. 32:400-413

Schlagwörter: Numerical solution of nonlinear eigenvalue and eigenvector problems, Applied Mathematics, 0103 physical sciences, 0101 mathematics, 01 natural sciences, Analysis

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3332865
https://doi.org/10.1016/0022-247x(70)90306-9
https://zbmath.org/3338098
https://doi.org/10.1016/0022-247x(71)90066-7
https://www.sciencedirect.com/science/article/pii/0022247X70903069#!
https://www.sciencedirect.com/science/article/pii/0022247X70903069
http://www.sciencedirect.com/science/article/pii/0022247X71900667

Backward error and condition of polynomial eigenvalue problems

Autoren: Tisseur, Françoise

Quelle: Tisseur, F 2000, 'Backward error and condition of polynomial eigenvalue problems', Linear Algebra and its Applications, vol. 309, no. 1-3, pp. 339-361.

Schlagwörter: Numerical computation of eigenvalues and eigenvectors of matrices, Backward error, generalized eigenvalue problem, numerical examples, Numerical Analysis, Algebra and Number Theory, Numerical computation of matrix norms, conditioning, scaling, polynomial eigenvalue problem, Generalized eigenvalue problem, algorithms, QZ algorithm, 01 natural sciences, Numerical solution of nonlinear eigenvalue and eigenvector problems, quadratic eigenvalue problem, Quadratic eigenvalue problem, Polynomial eigenvalue problem, Discrete Mathematics and Combinatorics, Geometry and Topology, Condition number, backward error, 0101 mathematics, condition number

Dateibeschreibung: application/xml

Zugangs-URL: https://research.manchester.ac.uk/en/publications/f919303a-9183-4c57-a505-1a76bbfd0846
https://www.sciencedirect.com/science/article/pii/S0024379599000634
https://www.sciencedirect.com/science/article/abs/pii/S0024379599000634
http://www.ma.man.ac.uk/~ftisseur/papers/tiss00.pdf
https://www.research.manchester.ac.uk/portal/en/publications/backward-error-and-condition-of-polynomial-eigenvalue-problems(f919303a-9183-4c57-a505-1a76bbfd0846).html

Multiparameter Iterative Schemes for the Solution of Systems of Linear and Nonlinear Equations: Multiparameter iterative schemes for the solution of systems of linear and nonlinear equations

Autoren: Claude Brezinski Jean-Paul Chehab

Quelle: SIAM Journal on Scientific Computing. 20:2140-2159

Schlagwörter: Iterative numerical methods for linear systems, numerical examples, Richardson extrapolation, Numerical computation of solutions to systems of equations, fixed point methods, steepest descent method, algorithms, 01 natural sciences, Numerical solution of nonlinear eigenvalue and eigenvector problems, relaxation, reaction-diffusion problems, convergence acceleration, nonlinear systems, 0101 mathematics, bifurcations, hybrid procedure

Dateibeschreibung: application/xml

Zugangs-URL: http://www.mathinfo.u-picardie.fr/chehab/Rech/brezinskichehabsiam.pdf
https://zbmath.org/1368692
https://doi.org/10.1137/s106482759631370x
https://dblp.uni-trier.de/db/journals/siamsc/siamsc20.html#BrezinskiC99
https://locus.siam.org/doi/abs/10.1137/S106482759631370X
https://epubs.siam.org/doi/abs/10.1137/S106482759631370X