The general common Hermitian Nonnegative-definite solution to the matrix equationsAXA*=BandCXC*=D

DOI10.1080/0308108031000122498zbMath1054.15016OpenAlexW2053797597MaRDI QIDQ4825455

Xian Zhang

Publication date: 28 October 2004

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0308108031000122498

zbMATH Keywords

singular value decompositionmatrix equationMoore-Penrose generalized inverseHermitian nonnegative-definite solutionnumerical reliabilityequivalent decompositionHermitian positive-definite solution

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24)

Related Items (3)

The common re-nonnegative definite and re-positive definite solutions to the matrix equations \(A_1XA_1^\ast = C_1\) and \(A_2XA_2^\ast = C_2 \) ⋮ Some optimization problems on ranks and inertias of matrix-valued functions subject to linear matrix equation restrictions ⋮ Positive and real-positive solutions to the equationaxa*=cinC*-algebras

Cites Work

• Independence distribution preserving covariance structures for the multivariate linear model
• Nonnegative-definite and positive-definite solutions to the matrix equation \(\mathbb{A}\times\mathbb{A}^*=\mathbb{B}\) -- revisited
• Linear matrix equations from an inverse problem of vibration theory
• Nonnegative definite and positive definite solutions to the matrix equationAXA^*=B
• Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations
• Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses

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