An iterative algorithm for solving the generalized Sylvester-conjugate matrix equation

被引:0
|
作者
Caiqin Song
机构
[1] University of Jinan,School of Mathematical Sciences
关键词
Generalized Sylvester-conjugate matrix equations; Real inner; Least Frobenius norm solution; 65F10; 65H10; 15A33;
D O I
暂无
中图分类号
学科分类号
摘要
This paper aims to extend the conjugate gradient least squares method to solve the least squares problem of the generalized Sylvester-conjugate matrix equation. For any initial values, the proposed iterative method can obtain the least squares Frobenius norm solution within finite iteration steps in the absence of roundoff errors. Finally, two numerical examples are given to show the efficiency of the presented iterative method. And it’s also proved that our proposed iterative algorithm is better than the existing LSQR iterative algorithm.
引用
下载
收藏
页码:545 / 566
页数:21
相关论文
共 50 条
  • [31] The relaxed gradient based iterative algorithm for solving the generalized coupled complex conjugate and transpose Sylvester matrix equations
    Long, Yanping
    Cui, Jingjing
    Huang, Zhengge
    Wu, Xiaowen
    AUTOMATIKA, 2024, 65 (03) : 1241 - 1258
  • [32] The accelerated gradient based iterative algorithm for solving a class of generalized Sylvester-transpose matrix equation
    Xie, Ya-Jun
    Ma, Chang-Feng
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 273 : 1257 - 1269
  • [33] On the least squares generalized Hamiltonian solution of generalized coupled Sylvester-conjugate matrix equations
    Huang, Bao-Hua
    Ma, Chang-Feng
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 74 (03) : 532 - 555
  • [34] Iterative Methods to Solve the Generalized Coupled Sylvester-Conjugate Matrix Equations for Obtaining the Centrally Symmetric (Centrally Antisymmetric) Matrix Solutions
    Xie, Yajun
    Ma, Changfeng
    JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [35] Generalized conjugate direction algorithm for solving general coupled Sylvester matrix equations
    Zhang, Zijian
    Chen, Xuesong
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2023, 360 (14): : 10409 - 10432
  • [36] Parametric solutions to Sylvester-conjugate matrix equations
    Wu, Ai-Guo
    Lv, Lingling
    Duan, Guang-Ren
    Liu, Wanquan
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (09) : 3317 - 3325
  • [37] A New Technique for Solving Continuous Sylvester-conjugate Matrix Equation AX - (X)over-barB = C
    Song Caiqin
    Feng Jun-e
    Zhao Jianli
    Meng Min
    2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 6545 - 6548
  • [38] Distributed Algorithm for Solving Sylvester Matrix Equation via Iterative Learning Control
    Liang, Cong
    Huo, Xuanmin
    Xte, Shizhou
    Wang, Lei
    Li, Juntao
    2023 IEEE 12TH DATA DRIVEN CONTROL AND LEARNING SYSTEMS CONFERENCE, DDCLS, 2023, : 1165 - 1170
  • [39] A modified iterative algorithm for the (Hermitian) reflexive solution of the generalized Sylvester matrix equation
    Beik, Fatemeh Panjeh Ali
    TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2014, 36 (06) : 815 - 827
  • [40] New proof of the gradient-based iterative algorithm for the Sylvester conjugate matrix equation
    Zhang, Huamin
    Yin, Hongcai
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 74 (12) : 3260 - 3270