Open Access
2015 On inequalities involving eigenvalues and traces of Hermitian matrices
Shalini Garga, Ravinder Kumar, Rajesh Sharma
Ann. Funct. Anal. 6(2): 78-90 (2015). DOI: 10.15352/afa/06-2-8

Abstract

It is shown that some immediate consequences of the spectral theorem provide refinements and extensions of the several well-known inequalities involving eigenvalues and traces of Hermitian matrices. We obtain bounds for the spread and condition number of a Hermitian matrix.

Citation

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Shalini Garga. Ravinder Kumar. Rajesh Sharma. "On inequalities involving eigenvalues and traces of Hermitian matrices." Ann. Funct. Anal. 6 (2) 78 - 90, 2015. https://doi.org/10.15352/afa/06-2-8

Information

Published: 2015
First available in Project Euclid: 19 December 2014

zbMATH: 06441290
MathSciNet: MR3292517
Digital Object Identifier: 10.15352/afa/06-2-8

Subjects:
Primary: 15A42
Secondary: 47A63

Keywords: condition number , eigenvalue , Kantorovich inequality , spread , Trace

Rights: Copyright © 2015 Tusi Mathematical Research Group

Vol.6 • No. 2 • 2015
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