On additive decomposition of the Hermitian solution of the matrix equation \(AXA^* = B\)

DOI10.1007/s00009-010-0110-8zbMath1241.15012OpenAlexW1987116563MaRDI QIDQ414384

Yongge Tian

Publication date: 11 May 2012

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-010-0110-8

zbMATH Keywords

generalized inverselinear matrix equationHermitian solutiondecomposition of solutionrank formulas for partioned matricesset inclusion

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 (4)

Some optimization problems on ranks and inertias of matrix-valued functions subject to linear matrix equation restrictions ⋮ The anti-symmetric solution of the matrix equation \(AXA^{\top} =B\) on a null subspace ⋮ Some considerations in relation to the matrix equation \(AXB = C\) ⋮ A survey on rank and inertia optimization problems of the matrix-valued function \(A+BXB^\ast\)

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