Bounds for the determinant of the sum of hermitian matrices-Reference-Cited by-同舟云学术

Bounds for the determinant of the sum of hermitian matrices

Published:1971 Issue:1 Volume:30 Page:27-31
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Fiedler Miroslav

Abstract

Best possible lower and upper bounds for the determinant of the sum of two hermitian matrices in terms of the eigenvalues of both matrices are obtained.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1971-030-01/S0002-9939-1971-0286814-1/S0002-9939-1971-0286814-1.pdf

Reference4 articles.

1. Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Band 30;Beckenbach, Edwin F.,1961

2. On the characteristic numbers of the sum and product of symmetric matrices;Lidskiĭ, V. B.;Doklady Akad. Nauk SSSR (N.S.),1950

3. An extremum property of sums of eigenvalues;Wielandt, Helmut;Proc. Amer. Math. Soc.,1955

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