Finite iterative algorithms for solving generalized coupled Sylvester systems – Part I: One-sided and generalized coupled Sylvester matrix equations over generalized reflexive solutions-Reference-Cited by-同舟云学术

Finite iterative algorithms for solving generalized coupled Sylvester systems – Part I: One-sided and generalized coupled Sylvester matrix equations over generalized reflexive solutions

Published:2012-04 Issue:4 Volume:36 Page:1589-1603
ISSN:0307-904X
Container-title:Applied Mathematical Modelling
language:en
Short-container-title:Applied Mathematical Modelling

Author:

Huang Guang-Xin,Wu Na,Yin Feng,Zhou Zhong-Li,Guo Ke

Funder

Research Fund Project

Natural Science Research Fund Project of School of Science

Key Laboratory of Geomathematics in Sichuan

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation

Reference42 articles.

1. Generalized reflexive matrices: special properties and applications;Chen;SIAM J. Matrix Anal. Appl.,1998

2. Special Matrices;Chen,2001

3. The generalized reflexive solution for a class of matrix equations AX=B; XC=D;Li;Acta Math. Sci.,2008

4. The left and right inverse eigenvalue problems of generalized reflexive and anti-reflexive matrices and anti-reflexive matrices;Liang;J. Comput. Appl. Math.,2010

5. Generalized reflexive solutions of the matrix equation AXB=D and an associated optimal approximation problem;Yuan;Comput. Math. Appl.,2008

Cited by 31 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Gradient-based iterative approach for solving constrained systems of linear matrix equations;Computational and Applied Mathematics;2024-04-26

2. A finite iterative algorithm for the general discrete-time periodic Sylvester matrix equations;Journal of the Franklin Institute;2022-06

3. Least‐squares partially bisymmetric solutions of coupled Sylvester matrix equations accompanied by a prescribed submatrix constraint;Mathematical Methods in the Applied Sciences;2020-11-16

4. The BCR algorithms for solving the reflexive or anti-reflexive solutions of generalized coupled Sylvester matrix equations;Journal of the Franklin Institute;2020-11

5. AN ITERATIVE ALGORITHM FOR SOLVING A CLASS OF GENERALIZED COUPLED SYLVESTER-TRANSPOSE MATRIX EQUATIONS OVER BISYMMETRIC OR SKEW-ANTI-SYMMETRIC MATRICES;Journal of Applied Analysis & Computation;2020