Least-squares solutions to the matrix equations \(AX = B\) and \(XC = D\)
type: Item
instance of: scholarly article
title: Least-squares solutions to the matrix equations \(AX = B\) and \(XC = D\)
zbMATH Open document ID: 1193.65046
author: Yongxin Yuan
published in: Applied Mathematics and Computation
publication date: 2010-07-19T00:00:00Z
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 15A24
zbMATH DE Number: 5757576
zbMATH Keywords: matrix equation
zbMATH Keywords: least-squares solution
zbMATH Keywords: symmetric solution
zbMATH Keywords: numerical examples
zbMATH Keywords: matrix differentiation
zbMATH Keywords: spectral decomposition
MaRDI profile type: Publication
full work available at URL: j.amc.2010.04.002
OpenAlex ID: W2115852812
cites work: The matrix equations \(AX=C\), \(XB=D\)
cites work: The matrix equations \(AX=B, XC=D\) with \(PX= sXP\) constraint
cites work: Symmetric and skew-antisymmetric solutions to systems of real quaternion matrix equations
cites work: Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations
cites work: Positive solutions to the equations \(AX=C\) and \(XB=D\) for Hilbert space operators
cites work: Least squares solutions to the equations \(AX = B, XC = D\) with some constraints
cites work: The reflexive and anti-reflexive solutions of the matrix equation \(AX=B\).
cites work: The skew-symmetric orthogonal solutions of the matrix equation \(AX=B\)
cites work: The generalized reflexive solution for a class of matrix equations \( (AX=B, XC=D)\)
cites work: Computing the CS decomposition of a partitioned orthonormal matrix
cites work: Towards a Generalized Singular Value Decomposition
cites work: Perturbation analysis of the canonical correlations of matrix pairs
cites work: Singular value and generalized singular value decompositions and the solution of linear matrix equations
cites work: Q4806858
cites work: Least-squares solution with the minimum-norm for the matrix equation \((A\times B,G\times H) = (C,D)\)
cites work: Q3913528
cites work: Tikhonov regularization for weighted total least squares problems
DOI: 10.1016/J.AMC.2010.04.002
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description: scientific article; zbMATH DE number 5757576