On Hermitian nonnegative-definite solutions to matrix equations

DOI10.1134/S000143460903016XzbMath1178.15013MaRDI QIDQ1033949

Jian-Ying Rong, Xu-Qing Liu

Publication date: 10 November 2009

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Hermitian matrixMoore-Penrose inversematrix equationHermitian nonnegative-definite solution

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (1)

Some optimization problems on ranks and inertias of matrix-valued functions subject to linear matrix equation restrictions

Cites Work

• Independence distribution preserving covariance structures for the multivariate linear model
• A note on the concepts of linear and quadratic sufficiency
• Nonnegative-definite and positive-definite solutions to the matrix equation \(\mathbb{A}\times\mathbb{A}^*=\mathbb{B}\) -- revisited
• The general common Hermitian nonnegative-definite solution to the matrix equations \(AXA=BB\) and \(CXC=DD\) with applications in statistics
• Linear matrix equations from an inverse problem of vibration theory
• Unnamed Item

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