Eigenvector-free solutions to \(AX = B\) with \(PX = XP\) and \(X^H = sX\) constraints

DOI10.1016/j.amc.2010.12.043zbMath1221.15025OpenAlexW2001513168MaRDI QIDQ628932

Anding Wang, Yuyang Qiu

Publication date: 8 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.12.043

zbMATH Keywords

numerical examplesmatrix equationsMoore-Penrose inverseoptimal approximationeigenvalue decompositionconstrained problemeigenvalue-free formulas

Mathematics Subject Classification ID

Related Items (2)

The Hermitian \(\{P,\mathrm k+1\}\)-(anti-)reflexive solutions of a linear matrix equation ⋮ On the generalized bi (skew-) symmetric solutions of a linear matrix equation and its procrust problems

Cites Work

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• The skew-symmetric orthogonal solutions of the matrix equation \(AX=B\)
• On the symmetric solutions of linear matrix equations
• The generalized reflexive solution for a class of matrix equations \( (AX=B, XC=D)\)
• Singular value and generalized singular value decompositions and the solution of linear matrix equations
• On the symmetric solutions of a linear matrix equation
• Backward perturbation analysis of certain characteristic subspaces
• The reflexive and anti-reflexive solutions of the matrix equation \(AX=B\).
• The inverse eigenvalue problem for Hermitian anti-reflexive matrices and its approximation
• The matrix equations \(AX=B, XC=D\) with \(PX= sXP\) constraint
• Computing the Generalized Singular Value Decomposition
• A Matrix Decomposition Method for Orthotropic Elasticity Problems
• Towards a Generalized Singular Value Decomposition
• Generalized Reflexive Matrices: Special Properties and Applications
• A Chart of Backward Errors for Singly and Doubly Structured Eigenvalue Problems

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