Homotopy method for generalized eigenvalue problems \(Ax=\lambda Bx\)
type: Item
instance of: scholarly article
title: Homotopy method for generalized eigenvalue problems \(Ax=\lambda Bx\)
zbMATH Open document ID: 0621.65028
DOI: 10.1016/0024-3795(87)90060-7
author: Tien-Yien Li
author: Timothy Sauer
published in: Linear Algebra and its Applications
publication date: 1987-01-01T00:00:00Z
review text: The algebraic eigenvalue problem \(Ax=\lambda Bx\) is regarded as a system of polynomial equations. Homotopy methods for its solution are studied, and it is shown that n continuous homotopy curves, each leading to a different eigensolution, can be found, provided that the starting approximations are taken from a certain (unknown) dense open set.
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 65H17
zbMATH DE Number: 4007572
zbMATH Keywords: algebraic eigenvalue problem
zbMATH Keywords: Homotopy methods
zbMATH Keywords: eigensolution
reviewed by: Axel Ruhe
describes a project that uses: HOMPACK
MaRDI profile type: Publication
full work available at URL: 0024-3795(87)90060-7
OpenAlex ID: W2023512872
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description: scientific article; zbMATH DE number 4007572