Simultaneous congruence of convex compact sets of Hermitian matrices with constant rank

DOI10.1016/0024-3795(87)90157-1zbMath0624.15006OpenAlexW2017435636MaRDI QIDQ1092138

C. S. Ballantine, Stephen J. Pierce, Leiba Rodman

Publication date: 1987

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90157-1

zbMATH Keywords

inertiasimultaneous congruenceconjunctive transformationconvex compact sets of Hermitian matricesfixed sign pattern

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Algebraic systems of matrices (15A30) Canonical forms, reductions, classification (15A21)

Cites Work

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• Matrices and indefinite scalar products
• The characteristic polynomial of a principal subpencil of a Hermitian matrix pencil
• Convex Sets of Hermitian Matrices with Constant Inertia
• Linear Maps on Hermitian Matrices: The Stabilizer of an Inertia Class
• Linear maps on Hermitian matrices: the stabilizer of an inertia class, II

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