The common Re-nnd and Re-pd solutions to the matrix equations \(AX = C\) and \(XB = D\)

DOI10.1016/j.amc.2011.08.074zbMath1248.15015OpenAlexW2085167487MaRDI QIDQ426350

Yingying Qin, Zhi-Ping Xiong

Publication date: 11 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.08.074

zbMATH Keywords

matrix equationmatrix rankRe-nnd solutionRe-pd solutiongeneralized matrix inversesHermitian part

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (5)

Comments on ``The common Re-nnd and Re-pd solutions to the matrix equations \(AX=C\) and \(XB=D\) ⋮ The re-nonnegative definite and re-positive definite solutions to the matrix equation \(AXB=D\) ⋮ The Re-nnd and Re-pd solutions to the matrix equationsAX = C,XB = D ⋮ The solutions to linear matrix equations \(AX=B\), \(YA=D\) with \(k\)-involutory symmetries ⋮ Re-nnd generalized inverses

Cites Work

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• The maximal and minimal ranks of \(A - BXC\) with applications
• Linear matrix equations from an inverse problem of vibration theory
• Upper and lower bounds for ranks of matrix expressions using generalized inverses
• Positive solutions to the equations \(AX=C\) and \(XB=D\) for Hilbert space operators
• The reflexive solutions of the matrix equation \(AX B = C\)
• Re-nnd SOLUTIONS OF THE MATRIX EQUATION AXB=C
• Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations
• Common Solutions for n Matrix Equations With Applications
• When Does Rank(A+B)=Rank(A)+Rank(B)?
• 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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