scientific article; zbMATH DE number 7348698

zbMath1474.15044MaRDI QIDQ4988596

Said Guedjiba, Warda Merahi

Publication date: 17 May 2021

Full work available at URL: http://elib.mi.sanu.ac.rs/files/journals/mv/276/4_eng.html

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zbMATH Keywords

rankinertiaMoore-Penrose inversematrix equationHermitian solutionsubmatrices

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Applications of generalized inverses (15A10)

Cites Work

• Equalities and inequalities for Hermitian solutions and Hermitian definite solutions of the two matrix equations \(AX = B\) and \(AXA ^{*} = B\)
• Some optimization problems on ranks and inertias of matrix-valued functions subject to linear matrix equation restrictions
• Maximization and minimization of the rank and inertia of the Hermitian matrix expression \(A-BX-(BX)^{*}\) with applications
• An expression of the general common least-squares solution to a pair of matrix equations with applications
• A pair of simultaneous linear matrix equations \(A_ 1XB_ 1=C_ 1,A_ 2XB_ 2=C_ 2\) and a matrix programming problem
• Ranks of least squares solutions of the matrix equation \(AXB=C\)
• Equalities and inequalities for inertias of Hermitian matrices with applications
• Generalized inverses. Theory and applications.
• Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations
• A representation of the general common solution to the matrix equations \(A_1XB_1=C_1\) and \(A_2XB_2=C_2\) with applications
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