The Bisymmetric Fixed Rank Solutions of the Matrix Equation AX = B

被引:0
|
作者
Zhou, Fuzhao [1 ]
Liu, Ruijuan [1 ]
机构
[1] Changsha Univ Sci & Technol, Coll Math & Comp Sci, Changsha 410076, Hunan, Peoples R China
来源
ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL 1: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS | 2008年
关键词
Matrix equation; Symmetric matrix; Bisymmetric matrix; Minimal rank; Singular-value decomposition;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the representations of the bisymmetric fixed rank solutions to the matrix equation AX = B are derived, mainly using the singular value decomposition.
引用
收藏
页码:472 / 475
页数:4
相关论文
共 50 条
  • [1] THE REFLEXIVE EXTREMAL RANK SOLUTIONS TO THE MATRIX EQUATION AX = B
    Xiao, Qingfeng
    Hu, Xiyan
    Zhang, Lei
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2012, 27 (01): : 109 - 115
  • [2] The Anti-bisymmetric Extremal Rank Solutions of a Linear Matrix Equation
    Xiao, Qingfeng
    PROCEEDINGS OF 2014 IEEE INTERNATIONAL CONFERENCE ON PROGRESS IN INFORMATICS AND COMPUTING (PIC), 2014, : 66 - 69
  • [3] THE ANTI-CENTRO-SYMMETRIC EXTREMAL RANK SOLUTIONS OF THE MATRIX EQUATION AX = B
    Xiao Qingfeng
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2013, 6 (03): : 197 - 210
  • [4] Fixed rank solutions of the matrix equation with statistical applications
    Liu, Y.
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2009, 86 (04) : 684 - 692
  • [5] An Iterative Method for the Least Squares Anti-bisymmetric Solution of the Matrix Equation AX = B
    Li, Lin
    Yuan, Xiu-jiu
    Liu, Hong
    INTELLIGENT SCIENCE AND INTELLIGENT DATA ENGINEERING, ISCIDE 2011, 2012, 7202 : 81 - 88
  • [6] The Solutions to Matrix Equation AX = B with Some Constraints
    Dong, Chang-Zhou
    Zhang, Yu-Ping
    JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [7] CONSIDERATION BY RANK OF MATRIX EQUATION AX1 XN = B
    DALLA, RH
    PORTER, AD
    ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI RENDICONTI-CLASSE DI SCIENZE FISICHE-MATEMATICHE & NATURALI, 1972, 52 (03): : 301 - &
  • [8] THE SOLUTIONS OF MATRIX EQUATION AX = B OVER A MATRIX INEQUALITY CONSTRAINT
    Peng, Zhen-Yun
    Wang, Lin
    Peng, Jing-Jing
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2012, 33 (02) : 554 - 568
  • [9] The least squares stochastic solutions of the matrix equation AX=B
    Li, Fangying
    Peng, Jingjing
    Peng, Zhenyun
    PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE OF MATRICES AND OPERATORS (MAO 2012), 2012, : 140 - 144
  • [10] Solutions with special structure to the linear matrix equation AX = B
    Li, Ying
    Zhang, Fengxia
    Guo, Wenbin
    Zhao, Jianli
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (02) : 374 - 383