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