Completion of symmetric orthogonal matrices and corresponding matrix equation problem

DOI10.1007/s40819-018-0530-xzbMath1398.15025OpenAlexW2806418911MaRDI QIDQ1794673

Jinrong Shen, Baiyu Wang, Wei Liu, Xiang-yang Peng

Publication date: 15 October 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-018-0530-x

zbMATH Keywords

matrix completionoptimal approximationsymmetric orthogonal matrixmatrix equation problem

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Direct numerical methods for linear systems and matrix inversion (65F05) Matrix completion problems (15A83)

Cites Work

• Unnamed Item
• The skew-symmetric orthogonal solutions of the matrix equation \(AX=B\)
• On solutions of the quaternion matrix equation \(AX=B\) and their applications in color image restoration
• The \((P,Q)\) generalized reflexive and anti-reflexive solutions of the matrix equation \(AX=B\)
• Completing a matrix when certain entries of its inverse are specified
• On the symmetric solutions of a linear matrix equation
• Symmetric solutions of linear matrix equations by matrix decompositions
• The reflexive and anti-reflexive solutions of the matrix equation \(AX=B\).
• Completing a symmetric \(2\times 2\) block matrix and its inverse
• Least-squares solution of \(F=PG\) over positive semidefinite symmetric \(P\)
• On the generalized bi (skew-) symmetric solutions of a linear matrix equation and its procrust problems
• On completions of symmetric and antisymmetric block diagonal partial matrices
• Least squares solutions to \(AX = B\) for bisymmetric matrices under a central principal submatrix constraint and the optimal approximation
• Completion of an orthogonal projector and a related inverse mapping problem
• Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations
• Inverse Problem of Linear Optimal Control
• Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations
• Inverse eigenvalue problem in structural design
• Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses

This page was built for publication: Completion of symmetric orthogonal matrices and corresponding matrix equation problem