Eigenproblems for Matrices Associated with Periodic Boundary Conditions

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1977 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Review, volume 19, pages 5-16 (issn: 0036-1445, eissn: 1095-7200,

Copyright policy )

Authors: Björck, Åke; Golub, Gene H.;

doi: 10.1137/1019002

Eigenproblems for Matrices Associated with Periodic Boundary Conditions

- Summary
- Subjects
- Metrics

Abstract

A survey of algorithms for solving the eigenproblem for a class of matrices of nearly tridiagonal form is given. These matrices arise from eigenvalue problems for differentia1 equations where the solution is subject to periodic boundary conditions. Algorithms both for computing selected eigenvalues and eigenvectors and for solving the complete eigenvalue problem are discussed.

Keywords

Numerical computation of eigenvalues and eigenvectors of matrices, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Direct numerical methods for linear systems and matrix inversion, Numerical solution of eigenvalue problems involving ordinary differential equations

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	28
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 1%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%