Solving the matrix inequality AXB + (AXB)^* ⩾ C

DOI10.7153/mia-15-47zbMath1246.15008OpenAlexW2327898202MaRDI QIDQ2911470

Dietrich von Rosen, Yongge Tian

Publication date: 31 August 2012

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-15-47

zbMATH Keywords

linear matrix inequalitygeneral solutionrankinertiaLöwner partial orderinglinear matrix equationgeneralized inverses of matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Linear inequalities of matrices (15A39) Matrix equations and identities (15A24)

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Equalities and inequalities for Hermitian solutions and Hermitian definite solutions of the two matrix equations \(AX = B\) and \(AXA ^{*} = B\), The Hermitian solution of \(A X A^* = B\) subject to \(CXC^{*} \geq D\)