On Hermitian positive definite solutions of matrix equation X+A*X(-2)A = I

Zhang YH.

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On Hermitian positive definite solutions of matrix equation X+A*X(-2)A = I

机译：关于矩阵方程X + A * X（-2）A = I的Hermitian正定解

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The Hermitian positive definite solutions of the matrix equation X + A*X(-2)A = I are studied. A necessary and sufficient condition for existence of solutions is given in case A is normal. The basic fixed point iterations for the equation in case A is normornial with parallel toAparallel to less than or equal to 2/3root3 are discussed in some detail. Some of Ivanov's, Hasanov's and Minchev's results in [Linear Algebra Appl. 326 (2001) 27] are improved. (C) 2003 Elsevier Inc. All rights reserved. [References: 4]

机译：研究了矩阵方程X + A * X（-2）A = I的Hermitian正定解。在A正常的情况下，给出了解存在的充要条件。详细讨论了在A为标准且平行于A平行小于或等于2 / 3root3的情况下方程的基本不动点迭代。伊凡诺夫（Ivanov），哈桑诺夫（Hasanov）和米切夫（Minchev）在[线性代数应用]中的一些结果。 326（2001）27]进行了改进。（C）2003 Elsevier Inc.保留所有权利。 [参考：4]

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《Linear Algebra and its Applications》 |2003年第0期|共10页
作者
Zhang YH.;
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正文语种 eng
中图分类数理逻辑、数学基础;
关键词
Matrix equation; Positive definite solution; Iterative method;

机译：矩阵方程;正定解;迭代法;

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1. 非线性矩阵方程Xs+A*X-t A=Q的Hermitian正定解的界的新估计 [J] . 蔡静, 陈建龙东南大学学报（英文版） . 2019,第001期
2. On Hermitian positive definite solutions of matrix equation X+A*X(-2)A = I [J] . Zhang YH. Linear Algebra and its Applications . 2003,第0期

机译：关于矩阵方程X + A * X（-2）A = I的Hermitian正定解
3. On positive definite solutions of the nonlinear matrix equation X+A(star)X(-n) A = I [J] . El-Sayed SM., Al-Dbiban AM. Applied mathematics and computation . 2004,第2期

机译：关于非线性矩阵方程X + A（star）X（-n）A = I的正定解
4. On positive definite solutions of the nonlinear matrix equation X+A(star)X(-n) A = I [J] . El-Sayed SM., Al-Dbiban AM. Applied mathematics and computation . 2004,第2期

机译：关于非线性矩阵方程X + A（star）X（-n）A = I的正定解
5. The Hermitian Positive Definite Solution of Matrix Equations ions X+A*X-1A=I [C] . Peiyu Wei, Boxue Tan, Xueting Liu IEEE international conference on computer science and information technology;ICCSIT 2009 . 2009

机译：矩阵方程离子X + A * X-1A = I的厄米正定解
6. Positive definite matrix-valued functions and matrix variogram modeling [D] . Xie, Tailiang 1994

机译：正定矩阵值函数和矩阵变异函数建模
7. An Inversion-Free Method for Finding Positive Definite Solution of a Rational Matrix Equation [O] . Fazlollah Soleymani, Mahdi Sharifi, Solat Karimi Vanani, -1

机译：寻找有理矩阵方程正定解的无逆方法
8. On Hermitian positive definite solutions of matrix equation X+A*X−2A=I [O] . Zhang Yuhai 2003

机译：关于矩阵方程X + A * X-2A = I的Hermitian正定解

On Hermitian positive definite solutions of matrix equation X+A*X(-2)A = I

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