Convex Sets of Hermitian Matrices with Constant Inertia

DOI10.1137/0606036zbMath0577.15007OpenAlexW2066523677MaRDI QIDQ3698950

Charles R. Johnson, Leiba Rodman

Publication date: 1985

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0606036

zbMATH Keywords

Hermitian matricesconvex hullsimultaneous reductionconstant inertia

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57) Canonical forms, reductions, classification (15A21)

Related Items (14)

On the stability of a convex set of matrices ⋮ Simultaneous congruence of convex compact sets of Hermitian matrices with constant rank ⋮ Determinantal inequalities for diagonally signed matrices and an application to Gram-Cauchy matrices ⋮ Convex invertible cones of state space systems. ⋮ Matrix monotonicity and concavity of the principal pivot transform ⋮ An extension of a row convergence theorem for vector Padé approximants ⋮ Totally isotropic subspaces for pairs of Hermitian forms and applications to Riccati equations ⋮ Convex invertible sets and matrix sign function ⋮ Symmetric sign pattern matrices that require unique inertia ⋮ Convex invertible cones and the Lyapunov equation ⋮ Confluent Hermitian Cauchy matrices are diagonally signed ⋮ Bounded domains of negative multipliers ⋮ A characterization of convex cones of matrices with constant regular inertia ⋮ A pair of matrices sharing common Lyapunov solutions--A closer look

Cites Work

• Unnamed Item
• On symmetric rational transfer functions
• Matrices and indefinite scalar products
• The characteristic polynomial of a principal subpencil of a Hermitian matrix pencil

This page was built for publication: Convex Sets of Hermitian Matrices with Constant Inertia