Výsledky vyhledávání - 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

Autoři: Yuqi Liu Jose E. Roman Meiyue Shao

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

Témata: 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)

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Chen, Hongjia Wang, Teng Zhang, Chun-Hua a další

Zdroj: Advances in Computational Mathematics. 50

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

Popis souboru: application/xml

Přístupová URL adresa: 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.

Autoři: C.-S. Chien S.-L. Chang

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2141855
https://doi.org/10.1142/s0218127403007175

Numerical algorithms for nonlinear eigenproblems with eigenvector nonlinearities

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

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

Zdroj: TRITA-SCI-FOU.

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

Popis souboru: electronic

Přístupová URL adresa: 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

Autoři: Akinola, Richard O. Spence, Alastair

Přispěvatelé: Akinola, Richard O. Spence, Alastair

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

Přístupová URL adresa: 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

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

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

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

Popis souboru: electronic resource

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

Přístupová URL adresa: https://doaj.org/article/e3d7ff8f6f494306bd913035ef59e25e

Sensitivities of eigenvalues and eigenvectors of problems nonlinear in the eigenparameter

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

Zdroj: Applied Mathematics Letters. 5:69-72

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Volker Mehrmann Heinrich Voss

Zdroj: GAMM-Mitteilungen. 27:121-152

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Voß, Heinrich

Zdroj: BIT Numerical Mathematics. 44:387-401

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

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

Zdroj: Applied Numerical Mathematics. 37:189-199

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: R. E. Müller

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: E. Adams Michael Plum

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: John P. Boyd

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Přispěvatelé: Elton, A

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

Popis souboru: Medium: ED; Size: Pages: (265 p)

Přístupová URL adresa: 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

Autoři: K.-T. Chang Hans D. Mittelmann D. F. Jankowski a další

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: C.-S. Chien T.-Z. Chen M.-J. Chen a další

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

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

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Ringh, Emil Jarlebring, Elias, Universitetslektor Karlsson, Johan, Universitetslektor a další

Přispěvatelé: Ringh, Emil Jarlebring, Elias, Universitetslektor Karlsson, Johan, Universitetslektor a další

Zdroj: TRITA-SCI-FOU.

Témata: 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

Popis souboru: electronic

Přístupová URL adresa: 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

Autoři: L. F. Yukhno

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

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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: I. Koltracht Yung-Sze Choi P. J. McKenna a další

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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