A Two-Dimensional Bisection Method for Solving Two-Parameter Eigenvalue Problems

DOI10.1137/0613065zbMath0759.65014OpenAlexW2022544098MaRDI QIDQ4021608

Xingzhi Ji

Publication date: 16 January 1993

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

Full work available at URL: https://doi.org/10.1137/0613065

zbMATH Keywords

eigenvalueHelmholtz equationbisection methodmatrix systemirreducible symmetric tridiagonal matrices

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (5)

A numerical algorithm for computing a basis for the root subspace at a nonderogatory eigenvalue of a multiparameter system ⋮ Modification of a method for solving the multiparameter eigenvalue problem for systems of loosely coupled ordinary differential equations ⋮ Numerical methods for solving multiparameter 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

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