Search Results - 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

Authors: Yuqi Liu Jose E. Roman Meiyue Shao

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

Subject Terms: 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)

File Description: application/xml

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

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

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

Source: Advances in Computational Mathematics. 50

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

File Description: application/xml

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

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

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

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

Subject Terms: 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

File Description: application/xml

Access URL: https://zbmath.org/2141855
https://doi.org/10.1142/s0218127403007175

Numerical algorithms for nonlinear eigenproblems with eigenvector nonlinearities

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

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

Source: TRITA-SCI-FOU.

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

File Description: electronic

Access 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 solution of linear and nonlinear eigenvalue problems

Authors: Akinola, Richard O. Spence, Alastair

Contributors: Akinola, Richard O. Spence, Alastair

Subject Terms: 519, coalesce, 2-dimensional Jordan block, eigenvalues, defective

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

Positive eigenvector of nonlinear eigenvalue problem with a singular M-matrix and Newton-SOR iterative solution

Authors: Cheng-yi Zhang Yao-yan Song Shuanghua Luo

Source: Journal of Inequalities and Applications, Vol 2016, Iss 1, Pp 1-10 (2016)

Subject Terms: singular M-matrix, nonlinear eigenvalue problem, positive eigenvector, Newton-SOR iterative solution, convergence, Mathematics, QA1-939

File Description: electronic resource

Relation: http://link.springer.com/article/10.1186/s13660-016-1169-y; https://doaj.org/toc/1029-242X

Access URL: https://doaj.org/article/e3d7ff8f6f494306bd913035ef59e25e

Sensitivities of eigenvalues and eigenvectors of problems nonlinear in the eigenparameter

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

Source: Applied Mathematics Letters. 5:69-72

Subject Terms: 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

File Description: application/xml

Access 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

Authors: Volker Mehrmann Heinrich Voss

Source: GAMM-Mitteilungen. 27:121-152

Subject Terms: 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

File Description: application/xml

Access 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

Authors: Voß, Heinrich

Source: BIT Numerical Mathematics. 44:387-401

Subject Terms: 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

File Description: application/xml

Access 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

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

Source: Applied Numerical Mathematics. 37:189-199

Subject Terms: 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

File Description: application/xml

Access 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

Authors: R. E. Müller

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

Subject Terms: 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

File Description: application/xml

Access 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

Authors: E. Adams Michael Plum

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

Subject Terms: 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

File Description: application/xml

Access 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 Chebyshev Polynomial Interval-Searching Method ('Lanczos Economization') for Solving a Nonlinear Equation with Application to the Nonlinear Eigenvalue Problem: A Chebyshev polynomial interval-searching method (``Lanczos economization'') for solving a nonlinear equation with application to the nonlinear eigenvalue problem

Authors: John P. Boyd

Source: Journal of Computational Physics. 118:1-8

Subject Terms: Numerical computation of eigenvalues and eigenvectors of matrices, zeros of determinants, Lanczos economization, eigenvalues, 01 natural sciences, Real polynomials: location of zeros, Numerical solution of nonlinear eigenvalue and eigenvector problems, approximation of zeros, Newton's method, nonlinear eigenvalue problem, polynomial approximation, Numerical computation of solutions to single equations, 0101 mathematics, Chebyshev polynomial interval-searching method

File Description: application/xml

Access URL: http://ui.adsabs.harvard.edu/abs/1995JCoPh.118....1B/abstract
http://www.sciencedirect.com/science/article/pii/S0021999185710753
https://dl.acm.org/doi/10.1006/jcph.1995.1075
https://www.sciencedirect.com/science/article/pii/S0021999185710753

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

Contributors: Elton, A

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

File Description: Medium: ED; Size: Pages: (265 p)

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

Iterative Solution of the Eigenvalue Problem in Hopf Bifurcation for the Boussinesq Equations: Iterative solution of the eigenvalue problem in Hopf bifurcation for the Boussinesq equations

Authors: K.-T. Chang Hans D. Mittelmann D. F. Jankowski et al.

Source: SIAM Journal on Scientific Computing. 15:704-712

Subject Terms: crystal growth, PDEs in connection with fluid mechanics, stability analysis, preconditioned conjugate gradients, 01 natural sciences, Boussinesq equation, Numerical solution of nonlinear eigenvalue and eigenvector problems, thermo-capillary convection, Absolute and convective instability and stability in hydrodynamic stability, Applications to the sciences, eigenvalue problem, Hopf bifurcation, method of inverse iteration, 0101 mathematics, Stability in context of PDEs

File Description: application/xml

Access URL: https://locus.siam.org/doi/abs/10.1137/0915045
https://epubs.siam.org/doi/abs/10.1137/0915045
https://dblp.uni-trier.de/db/journals/siamsc/siamsc15.html#MittelmannCJ94

A parallel continuation algorithm for nonlinear eigenvalue problems

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

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

Subject Terms: 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

File Description: application/xml

Access 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

Solution of a transcendental eigenvalue problem via interval analysis

Authors: Mark A. Kelmanson L.E Bateson Carsten Knudsen

Source: Computers & Mathematics with Applications. 38:133-142

Subject Terms: transcendental eigenvalue equation, General methods in interval analysis, biharmonic equation, 02 engineering and technology, 01 natural sciences, Biharmonic equation, 0201 civil engineering, Numerical solution of nonlinear eigenvalue and eigenvector problems, Computational Mathematics, Newton's method, Computational Theory and Mathematics, Newton method, Modelling and Simulation, Interval analysis, 0101 mathematics, interval analysis

File Description: application/xml

Access URL: https://zbmath.org/1429538
https://doi.org/10.1016/s0898-1221(99)00244-8
https://www.sciencedirect.com/science/article/pii/S0898122199002448

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

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

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

Source: TRITA-SCI-FOU.

Subject Terms: 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

File Description: electronic

Access 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 non-linear spectral problem for symmetric matrices: Numerical solution of a nonlinear spectral problem for symmetric matrices

Authors: L. F. Yukhno

Source: USSR Computational Mathematics and Mathematical Physics. 27:26-30

Subject Terms: Numerical solution of nonlinear eigenvalue and eigenvector problems, symmetric matrices, nonlinear eigenvalue problem, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/4084873
https://doi.org/10.1016/0041-5553(87)90040-1
https://www.sciencedirect.com/science/article/abs/pii/0041555387900401

Global monotone convergence of Newton iteration for a nonlinear eigen-problem

Authors: I. Koltracht Yung-Sze Choi P. J. McKenna et al.

Source: Linear Algebra and its Applications. 357:217-228

Subject Terms: Numerical Analysis, Algebra and Number Theory, fixed point problem, nonlinear eigen-problem, 01 natural sciences, Numerical solution of nonlinear eigenvalue and eigenvector problems, eigenvector, Newton algorithm, Newton method, global monotone convergence, Discrete Mathematics and Combinatorics, Stieltjes matrix, Geometry and Topology, 0101 mathematics, positive eigenvalue, Gross-Pitaevskii equation, Stieltjes matrices

File Description: application/xml

Access URL: https://zbmath.org/1864779
https://doi.org/10.1016/s0024-3795(02)00383-x
https://www.sciencedirect.com/science/article/pii/S002437950200383X
https://www.sciencedirect.com/science/article/abs/pii/S002437950200383X