Maximum and minimum ranks and inertias of the Hermitian parts of the least rank solution of the matrix equation \(AXB = C\)
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Publication:2061322
DOI10.3934/naco.2020016zbMath1479.15010OpenAlexW3004852586MaRDI QIDQ2061322
Publication date: 13 December 2021
Published in: Numerical Algebra, Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/naco.2020016
Matrix equations and identities (15A24) Vector spaces, linear dependence, rank, lineability (15A03) Numerical methods for matrix equations (65F45) Applications of generalized inverses (15A10)
Cites Work
- Maximization and minimization of the rank and inertia of the Hermitian matrix expression \(A-BX-(BX)^{*}\) with applications
- Ranks of least squares solutions of the matrix equation \(AXB=C\)
- Equalities and inequalities for inertias of Hermitian matrices with applications
- The maximal and minimal ranks of \(A - BXC\) with applications
- Nonnegative-definite and positive-definite solutions to the matrix equation \(\mathbb{A}\times\mathbb{A}^*=\mathbb{B}\) -- revisited
- The maximal and minimal ranks of some expressions of generalized inverses of matrices
- Generalized inverses. Theory and applications.
- Positive and negative definite submatrices in an Hermitian least rank solution of the matrix equation \(AXA^*=B\)
- Relations between least-squares and least-rank solutions of the matrix equation \(AXB=C\)
- Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations
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