Comment on "Perturbation Analysis of the Nonlinear Matrix Equation X-Σi=1m Ai*XpiAi = Q"

被引：2
|
作者：
Berzig, Maher [1 ]
Karapinar, Erdal [2 ]
机构：
[1] Tunis Univ, Tunis Coll Sci & Tech, Tunis, Tunisia
[2] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey
来源：
ABSTRACT AND APPLIED ANALYSIS | 2013年
关键词：
D O I：
10.1155/2013/891840
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the perturbation estimate for the matrix equation ? ?? - ?? ?? = 1 ?? * ?? ?? ?? ?? ?? ?? = ?? due to J. Li, is wrong. Our discussion is supported by a counterexample.
引用
收藏
页数：2
相关论文
共 50 条
  • [1] Perturbation Analysis of the Nonlinear Matrix Equation X-Σi=1m Ai*XpiAi=Q
    Li, Jing
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [2] Perturbation Analysis of the Matrix Equation X-Σi=1m Ai* X-1Ai = Q
    Duan, Xue-Feng
    Liao, An-Ping
    ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL II: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS, 2008, : 43 - 46
  • [3] On the nonlinear matrix equation X-Σi=1m,Ai*Xδi Ai = Q
    Duan, Xuefeng
    Liao, Anping
    Tang, Bin
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 429 (01) : 110 - 121
  • [4] ON THE NONLINEAR MATRIX EQUATION X + Σi=1m Ai* X-q Ai = Q(0 < q ≤ 1)
    Yin, Xiaoyan
    Wen, Ruiping
    Fang, Liang
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 51 (03) : 739 - 763
  • [5] On positive definite solutions of the matrix equation X - Σi =1m Ai* X-piAi = Q
    Li, Changzhou
    Yuan, Chao
    Chen, Shiliang
    AIMS MATHEMATICS, 2024, 9 (09): : 25532 - 25544
  • [6] Perturbation analysis for the positive definite solution of the nonlinear matrix equation X - Sigma(m)(i=1) A(i)(*) X-1 A(i) = Q
    Yin, Xiaoyan
    Fang, Liang
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2013, 43 (1-2) : 199 - 211
  • [7] Solutions and perturbation analysis for the nonlinear matrix equation X +Σi=1mAi*X-1Ai = I
    Duan, Xuefeng
    Li, Chunmei
    Liao, Anping
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (08) : 4458 - 4466
  • [8] Perturbation Analysis of the Matrix Equation X plus A*X-qA = I(q ≥ 1)
    Tang, Bin
    Liao, An-Ping
    Duan, Xue-Feng
    ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL II: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS, 2008, : 293 - 296
  • [9] Perturbation estimates for the nonlinear matrix equation X-A * X q A=Q (0<q<1)
    Jia G.
    Gao D.
    Journal of Applied Mathematics and Computing, 2011, 35 (1-2) : 295 - 304
  • [10] Necessary and Sufficient Conditions for the Existence of a Positive Definite Solution for the Matrix Equation X + Σi=1m AiT Xδi Ai = I
    El-Shazly, Naglaa M.
    JOURNAL OF APPLIED MATHEMATICS, 2013,
12345