An iterative method for the numerical solution of two-parameter eigenvalue problems

DOI10.1080/00207169108804029zbMath0747.65069OpenAlexW2085680806MaRDI QIDQ3989769

Xingzhi Ji

Publication date: 28 June 1992

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169108804029

zbMATH Keywords

iterative procedurenumerical testsdiscretization errormatrix systemtwo-parameter Sturm-Liouville eigenvalue problem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items

Solving two-parameter eigenvalue problems using an alternating method

Cites Work

• Multiparameter eigenvalue problems. Volume I: Matrices and compact operators
• A convergent gradient method for matrix eigenvector-eigentuple problems
• The automatic solution of two-parameter Sturm-Liouville eigenvalue problems in ordinary differential equations
• Multiparameter eigenvalue problems and expansion theorems
• On the accuracy of finite difference approximations to the eigenvalues of differential and integral operators
• Multiparametric eigenvalue problems in inner-product spaces
• Multiparameter Sturm theory
• Eigenvalues of the Laplacian in Two Dimensions
• On the Numerical Solution of Three-Dimensional Boundary Value Problems by Separation of Variables
• A fourier series method for the numerical solution of hyperbolic equations
• Curvilinear Co-ordinate Systems in which the Helmholtz Equation Separates
• A Numerical Method for the Solution of the Double Eigenvalue Problem
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