A new extension of Leverrier's algorithm
type: Item
instance of: scholarly article
title: A new extension of Leverrier's algorithm
zbMATH Open document ID: 0782.65062
DOI: 10.1016/0024-3795(93)90533-T
author: Yuhua Lin
author: Guo-rong Wang
published in: Linear Algebra and its Applications
publication date: 1993-08-08T00:00:00Z
review text: A recursion derived by \textit{S.Barnett} [SIAM J. Matrix Anal. Appl. 10, No. 4, 551-556 (1989; Zbl 0682.65022)], for computing the inverse of a matrix polynomial by means of a Leverrier type recursion, is extended to the case of a singular leading term.
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 15A54
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 179141
zbMATH Keywords: Leverrier's algorithm
zbMATH Keywords: inverse
zbMATH Keywords: matrix polynomial
reviewed by: Axel Ruhe
MaRDI profile type: Publication
cites work: An Application of the Cayley-Hamilton Theorem to Generalized Matrix Inversion
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cites work: Further remarks on the Cayley-Hamilton theorem and Leverrier's method for the matrix pencil&lt;tex&gt;(sE - A)&lt;/tex&gt;
cites work: Leverrier's algorithm for singular systems
description: scientific article; zbMATH DE number 179141