Block power method for computing solvent and spectral factors of matrix polynomials
type: Item
instance of: scholarly article
title: Block power method for computing solvent and spectral factors of matrix polynomials
zbMATH Open document ID: 0665.65036
DOI: 10.1016/0898-1221(88)90004-1
author: T. T. C. Shen
author: Jason Tsai
author: Leang-San Shieh
publication date: 1988-01-01T00:00:00Z
review text: The authors extend the power method to its block form for use in the block eigenvalue and the associated block eigenvectors of non-symmetric matrices. Algorithms for finding the largest solvent of a monic matrix polynomial are given. These are extended to cover general classes of matrix polynomials. Illustrative examples are also given. Computational complexity and numerical stability are not investigated.
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 15A60
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 4088831
zbMATH Keywords: block power method
zbMATH Keywords: block eigenvalue
zbMATH Keywords: block eigenvectors
zbMATH Keywords: non-symmetric matrices
zbMATH Keywords: matrix polynomial
reviewed by: Aurél Galántai
MaRDI profile type: Publication
full work available at URL: 0898-1221(88)90004-1
OpenAlex ID: W1983131160
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 4088831