A Note on Matrices with Positive Definite Real Part

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jul 1981Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 82, page 322 (issn: 0002-9939,

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Authors: London, David;

doi: 10.2307/2043932 , 10.1090/s0002-9939-1981-0612711-1

A Note on Matrices with Positive Definite Real Part

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Abstract

A lemma characterizing complex matrices with positive definite real part is given. It is shown that many results concerning such matrices are straightforward consequences of this lemma.

Keywords

Positive matrices and their generalizations; cones of matrices, Canonical forms, reductions, classification, Matrix equations and identities, matrices with positive definite real part

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