Positive and negative definite submatrices in an Hermitian least rank solution of the matrix equation \(AXA^*=B\)

DOI10.3934/naco.2019002zbMath1501.15008OpenAlexW2897017899MaRDI QIDQ2273096

Sihem Guerarra

Publication date: 18 September 2019

Published in: Numerical Algebra, Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/naco.2019002

zbMATH Keywords

matrix equationMoore-Penrose generalized inverseinertiasleast-rank solution

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Hermitian, skew-Hermitian, and related matrices (15B57) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (1)

Maximum and minimum ranks and inertias of the Hermitian parts of the least rank solution of the matrix equation \(AXB = C\)

Cites Work

• Generalized inverses. Theory and applications.
• Flots d'Anosov a Distributions Stable et Instable Differentiables

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