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Some Results on the Field of Values of Matrix Polynomials

Authors :
Zahra Boor Boor Azimi
Gholamreza Aghamollaei
Source :
Sahand Communications in Mathematical Analysis, Vol 17, Iss 2, Pp 55-68 (2020)
Publication Year :
2020
Publisher :
University of Maragheh, 2020.

Abstract

In this paper, the notions of pseudofield of values and joint pseudofield of values of matrix polynomials are introduced and some of their algebraic and geometrical properties are studied. Moreover, the relationship between the pseudofield of values of a matrix polynomial and the pseudofield of values of its companion linearization is stated, and then some properties of the augmented field of values of basic A-factor block circulant matrices are investigated.

Details

Language :
English
ISSN :
23225807 and 24233900
Volume :
17
Issue :
2
Database :
Directory of Open Access Journals
Journal :
Sahand Communications in Mathematical Analysis
Publication Type :
Academic Journal
Accession number :
edsdoj.f2b1c24066e54202a95f0aeb19f992ac
Document Type :
article
Full Text :
https://doi.org/10.22130/scma.2018.88329.461