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BOUNDS FOR THE EIGENVALUES OF NON--MONIC OPERATOR POLYNOMIALS.

Authors :
MUQILE GAO
DEYU WU
ALATANCANG CHEN
Source :
Operators & Matrices; Sep2024, Vol. 18 Issue 3, p677-691, 15p
Publication Year :
2024

Abstract

In this paper, we give some new bounds for the eigenvalues of non-monic operator polynomials by applying several numerical radius inequalities to the Frobenius companion matrices of these polynomials. Our bounds refine the existing bounds for monic matrix polynomials. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
POLYNOMIAL operators
EIGENVALUES
POLYNOMIALS
MATRICES (Mathematics)

Details

Language :
English
ISSN :
18463886
Volume :
18
Issue :
3
Database :
Complementary Index
Journal :
Operators & Matrices
Publication Type :
Academic Journal
Accession number :
180281678
Full Text :
https://doi.org/10.7153/oam-2024-18-40
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