Vol. 66, No. 1, 1976

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Convex and concave functions of singular values of matrix sums

Robert Charles Thompson

Vol. 66 (1976), No. 1, 285–290
Abstract

A new set of inequalities for functions of singular values of matrix sums is established. These inequalities are complementary to a number of classically known inequalities in that the direction of the inequality sign is reversed. A matrix valued triangle inequality is also given. Special cases of these results are due to S. Yu. Rotfel’d.

Mathematical Subject Classification 2000
Primary: 15A45
Milestones
Received: 6 February 1976
Published: 1 September 1976
Authors
Robert Charles Thompson