On the parameterized two-step iteration method for solving the matrix equation \(AXB=C\)

DOI10.1016/j.amc.2023.128401MaRDI QIDQ6069410

Yudong Wang, Zhao Lu Tian, Nianci Wu, Zhong-Yun Liu

Publication date: 14 November 2023

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

zbMATH Keywords

\(M\)-matrixoptimal parameterregular splittingtwo-step iterationSPD matrix

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Basic linear algebra (15Axx) Special matrices (15Bxx)

Cites Work

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• On Hermitian and skew-Hermitian splitting iteration methods for the linear matrix equation \(AXB=C\)
• The Jacobi and Gauss-Seidel-type iteration methods for the matrix equation \(A X B = C\)
• Some remarks on Jacobi and Gauss-Seidel-type iteration methods for the matrix equation \(A X B = C\)
• On the Kaczmarz methods based on relaxed greedy selection for solving matrix equation \(A X B = C\)
• Stationary splitting iterative methods for the matrix equation \(AXB=C\)
• Some relaxed iteration methods for solving matrix equation \(AXB=C\)
• Two-step AOR iteration method for the linear matrix equation \(AXB=C\)
• Progressive iterative approximation for regularized least square bivariate B-spline surface fitting
• An iterative method for the skew-symmetric solution and the optimal approximate solution of the matrix equation \(AXB=C\)
• Kronecker Products, Unitary Matrices and Signal Processing Applications
• A block GMRES method with deflated restarting for solving linear systems with multiple shifts and multiple right‐hand sides
• A Modified HSS Iteration Method for Solving the Complex Linear Matrix Equation AXB = C

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