DIAGONALS AND EIGENVALUES OF SUMS OF HERMITIAN MATRICES: EXTREME CASES

There are well known inequalities for Hermitian matrices A and B that relate the diagonal entries of A+B to the eigenvalues of A and B. These inequalities are easily extended to more general inequalities in the case where the matrices A and B are perturbed through con-gruences of the form UAU*+ V BV...

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Autor principal:	MIRANDA,HÉCTOR
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2003
Materias:	Hermitian matrix eigenvalues diagonal elements
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172003000200003
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spelling	oai:scielo:S0716-091720030002000032003-10-27DIAGONALS AND EIGENVALUES OF SUMS OF HERMITIAN MATRICES: EXTREME CASESMIRANDA,HÉCTOR Hermitian matrix eigenvalues diagonal elements There are well known inequalities for Hermitian matrices A and B that relate the diagonal entries of A+B to the eigenvalues of A and B. These inequalities are easily extended to more general inequalities in the case where the matrices A and B are perturbed through con-gruences of the form UAU+ V BV ; where U and V are arbitrary unitary matrices, or to sums of more than two matrices. The extremal cases where these inequalities and some generalizations become equal-ities are examined hereinfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.22 n.2 20032003-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172003000200003en10.4067/S0716-09172003000200003
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Hermitian matrix eigenvalues diagonal elements
spellingShingle	Hermitian matrix eigenvalues diagonal elements MIRANDA,HÉCTOR DIAGONALS AND EIGENVALUES OF SUMS OF HERMITIAN MATRICES: EXTREME CASES
description	There are well known inequalities for Hermitian matrices A and B that relate the diagonal entries of A+B to the eigenvalues of A and B. These inequalities are easily extended to more general inequalities in the case where the matrices A and B are perturbed through con-gruences of the form UAU+ V BV ; where U and V are arbitrary unitary matrices, or to sums of more than two matrices. The extremal cases where these inequalities and some generalizations become equal-ities are examined here
author	MIRANDA,HÉCTOR
author_facet	MIRANDA,HÉCTOR
author_sort	MIRANDA,HÉCTOR
title	DIAGONALS AND EIGENVALUES OF SUMS OF HERMITIAN MATRICES: EXTREME CASES
title_short	DIAGONALS AND EIGENVALUES OF SUMS OF HERMITIAN MATRICES: EXTREME CASES
title_full	DIAGONALS AND EIGENVALUES OF SUMS OF HERMITIAN MATRICES: EXTREME CASES
title_fullStr	DIAGONALS AND EIGENVALUES OF SUMS OF HERMITIAN MATRICES: EXTREME CASES
title_full_unstemmed	DIAGONALS AND EIGENVALUES OF SUMS OF HERMITIAN MATRICES: EXTREME CASES
title_sort	diagonals and eigenvalues of sums of hermitian matrices: extreme cases
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2003
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172003000200003
work_keys_str_mv	AT mirandahector diagonalsandeigenvaluesofsumsofhermitianmatricesextremecases
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DIAGONALS AND EIGENVALUES OF SUMS OF HERMITIAN MATRICES: EXTREME CASES

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