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NEW BOUNDS FOR THE SPREAD OF A MATRIX USING THE RADIUS OF THE SMALLEST DISC THAT CONTAINS ALL EIGENVALUES.

Authors :
FRAKIS, A.
Source :
Acta Mathematica Universitatis Comenianae. 2020, Vol. 89 Issue 1, p87-96. 10p.
Publication Year :
2020

Abstract

Let D denote the smallest disc containing all eigenvalues of the matrix A. Without knowing the eigenvalues of A, we can estimate the spread of A and the radius of D. Some new bounds for the radius of D and the spread of A are given. These bounds involve the entries of A. Also sufficient conditions for equality are obtained for some inequalities. New proofs of some known results are presented, too. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
08629544
Volume :
89
Issue :
1
Database :
Academic Search Index
Journal :
Acta Mathematica Universitatis Comenianae
Publication Type :
Academic Journal
Accession number :
141406852