A Note on Companion Matrices.

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F03%3A06030108" target="_blank" >RIV/67985807:_____/03:06030108 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

A Note on Companion Matrices.

Original language description

We show that the usual companion matrix of a polynomial of degree n can be factored into a product of n matrices, n-1 of them being the identity matrix in which a 2x2 identity submatrix in two consecutive rows (and columns) is replaced by an appropriate2x2 matrix, the remaining being the identity matrix with the last entry replaced by possibly different entry. By a certain similarity transformation, we obtain a simple new companion matrix in a pentadiagonal form. Some generalizations are also possible.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/IAA1030003" target="_blank" >IAA1030003: Polynomial and structured matrices</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2003

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Linear Algebra and its Applications

ISSN

0024-3795

e-ISSN

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Volume of the periodical

372

Issue of the periodical within the volume

N/A

Country of publishing house

US - UNITED STATES

Number of pages

7

Pages from-to

325-331

UT code for WoS article

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EID of the result in the Scopus database

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