A Continuation Method for a Right Definite Two-Parameter Eigenvalue Problem

DOI10.1137/S0895479898346193zbMath0995.65036MaRDI QIDQ4509609

Bor Plestenjak

Publication date: 19 October 2000

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

algorithmconvergenceNewton's methodcontinuation methodSturm-Liouville problemRayleigh quotient iterationright definite two-parameter problem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (13)

Solving two-parameter eigenvalue problems using an alternating method ⋮ Numerical methods for nonlinear two-parameter eigenvalue problems ⋮ Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems ⋮ Spectral collocation solutions to multiparameter Mathieu's system ⋮ Backward error, condition numbers, and pseudospectra for the multiparameter eigenvalue problem. ⋮ Computation of the eigenpairs of two-parameter Sturm-Liouville problems using the \textit{regularized sampling method} ⋮ Spectral analysis of coupled linear complementarity problems ⋮ A Sylvester–Arnoldi type method for the generalized eigenvalue problem with two‐by‐two operator determinants ⋮ Structured Eigenvalue Problems ⋮ A Homotopy Method for Finding All Solutions of a Multiparameter Eigenvalue Problem ⋮ Numerical study of three-parameter matrix eigenvalue problem by Rayleigh quotient method ⋮ Two complementary block Macaulay matrix algorithms to solve multiparameter eigenvalue problems ⋮ Nonlinearizing Two-parameter Eigenvalue Problems

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