The eigenvalues and singular values of matrix sums and product, VIII: Displacement of indices-Reference-Cited by-同舟云学术

The eigenvalues and singular values of matrix sums and product, VIII: Displacement of indices

Published:1971-06 Issue:2-3 Volume:7 Page:219-242
ISSN:0001-9054
Container-title:Aequationes Mathematicae
language:en
Short-container-title:Aeq. Math.

Author:

Thompson R. C.,Therianos S.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01818518.pdf

Reference15 articles.

1. Amir Moéz, A. R.,Extreme Properties of Eigenvalues of a Hermitian Transformation and Singular Values of the Sum and Product of Linear Transformations, Duke Math. J.23, 463–476 (1956).

2. Fan, Ky,Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators, Proc. Nat. Acad. Sci. U.S.A.37, 760–766 (1951).

3. Hersch, J. andZwahlen, B. P.,Évaluations par défaut pour une somme quelconque de valeurs propres γ κ d'un opérateur C = A + B à l'aide de valeurs propres α i de A et β j de B, C.R. Acad. Sci.Paris 254, 1559–1561 (1962).

4. Horn, A.,Eigenvalues of Sums of Hermitian Matrices, Pacific J. Math.12, 225–241 (1962).

5. Lidskii, V. B.,The Proper Values of the Sum and Product of Symmetric Matrices, Doklady Acad. Nauk SSSR75, 769–772 (1950).

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