Research on a class of nonlinear matrix equation

被引：0
作者：
机构：
[1] College of Mathematics and Statistics, Beihua University, Jilin
[2] Department of Mathematics, Baicheng Normal University, Baicheng
来源：
Li, Qingchun (liqingchun01@163.com) | 1600年 / Springer Verlag卷 / 472期
关键词：
Convergence; Iteration; Nonlinear matrix equation; Positive definite solution;
D O I：
10.1007/978-3-662-45049-9_18
中图分类号：
学科分类号：
摘要：
In this paper, the nonlinearmatrix equation (Formula Presented) is discussed. We propose the Newton iteration method for obtaining the Hermite positive definite solution of this equation. And a numerical example is given to identify the efficiency of the results obtained. © Springer-Verlag Berlin Heidelberg 2014.
引用
收藏
页码：108 / 116
页数：8
相关论文
共 50 条
  • [31] Positive definite solutions and perturbation analysis of a class of nonlinear matrix equations
    Fang, Liang
    Liu, Sanyang
    Yin, Xiaoyan
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2017, 53 (1-2) : 245 - 269
  • [32] On equations that are equivalent to the nonlinear matrix equation X plus A*X-α A = Q
    Wang, Xing Tao
    Li, Yuan Min
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 234 (08) : 2441 - 2449
  • [33] Some investigation on Hermitian positive-definite solutions of a nonlinear matrix equation
    Pei, Weijuan
    Wu, Guoxing
    Zhou, Duanmei
    Liu, Yitian
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2014, 91 (05) : 872 - 880
  • [34] Necessary and sufficient conditions for the existence of a positive definite solution of a nonlinear matrix equation
    Wang, Xing Tao
    Li, Yuan Min
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 87 (11) : 2542 - 2551
  • [35] Hermite Positive Definite Solution of a Class of Matrix Equation
    Liu, Panpan
    Zhang, Shugong
    Li, Qingchun
    CEIS 2011, 2011, 15
  • [36] The Hermitian Positive Definite Solution of the Nonlinear Matrix Equation
    Zhang, Xindong
    Feng, Xinlong
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2017, 18 (05) : 293 - 301
  • [37] Condition numbers for the nonlinear matrix equation and their statistical estimation
    Wang, Shaoxin
    Yang, Hu
    Li, Hanyu
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 482 : 221 - 240
  • [38] On the solution of the nonlinear matrix equation Xn = f(X)
    Jung, Changdo
    Kim, Hyun-Min
    Lim, Yongdo
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 430 (8-9) : 2042 - 2052
  • [39] A novel iterative method for the solution of a nonlinear matrix equation
    Erfanifar, Raziyeh
    Sayevand, Khosro
    Esmaeili, Hamid
    APPLIED NUMERICAL MATHEMATICS, 2020, 153 : 503 - 518
  • [40] On the nonlinear matrix equation Xs + AHF(X)A = Q
    Xie, Yajun
    Ma, Changfeng
    Zheng, Qingqing
    AIMS MATHEMATICS, 2023, 8 (08): : 18392 - 18407
12345