ADMM-Based Methods for Nearness SkewSymmetric and Symmetric Solutions of Matrix Equation AXB = C

DOI10.4208/eajam.100719.230320zbMath1468.65037OpenAlexW3049773309MaRDI QIDQ4986623

Dongmei Yu, Deren Han, Cai-Rong Chen

Publication date: 27 April 2021

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.100719.230320

zbMATH Keywords

ADMMglobal convergencepreconditioningiterative methodmatrix nearness problem

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Numerical methods for matrix equations (65F45)

Cites Work

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• Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
• Rigorous convergence analysis of alternating variable minimization with multiplier methods for quadratic programming problems with equality constraints
• An iterative algorithm for the least squares bisymmetric solutions of the matrix equations \(A_{1}XB_{1}=C_{1},A_{2}XB_{2}=C_{2}\)
• Dykstra's alternating projection algorithm for two sets
• Shift-splitting preconditioners for saddle point problems
• Matrix Preconditioning Techniques and Applications

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