Approximate eigenvalues, eigenvectors and inverse of a matrix with polynomial entries
type: Item
instance of: scholarly article
title: Approximate eigenvalues, eigenvectors and inverse of a matrix with polynomial entries
zbMATH Open document ID: 0802.65045
DOI: 10.1007/BF03167215
author: Takuya Kitamoto
published in: Japan Journal of Industrial and Applied Mathematics
publication date: 1994-07-04T00:00:00Z
review text: The author presents algorithms for approximate evaluation of eigenvalues, eigenvectors and the inverse of a given square matrix with polynomial entries. The characteristic feature of the algorithms presented in the paper is the exploitation of the truncated Taylor series. Apart from basic algorithms, the author discusses acceleration of convergence and gives error estimates. The performance of the algorithms is illustrated on examples that are worked out in detail.
reviewed by: Z. Dostál
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 15A54
zbMATH DE Number: 571996
zbMATH Keywords: polynomial matrix
zbMATH Keywords: matrix inversion
zbMATH Keywords: eigenvalues
zbMATH Keywords: eigenvectors
zbMATH Keywords: truncated Taylor series
zbMATH Keywords: algorithms
zbMATH Keywords: convergence
zbMATH Keywords: error estimates
zbMATH Keywords: performance
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf03167215
OpenAlex ID: W1985857653
description: scientific article; zbMATH DE number 571996