Some properties for the existence of a positive definite solution of matrix equation X+A(star)X(-2m) A = I

El-Sayed SM.; El-Alem M.

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Some properties for the existence of a positive definite solution of matrix equation X+A(star)X(-2m) A = I

机译：矩阵方程X + A（star）X（-2m）A = I的正定解的存在性的某些性质

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In this paper, we consider the problem of when the equation X + A*X-2m A = I has a positive definite solution. An effective iterative procedure is presented for computing of a positive definite solution of this equation. Some properties of necessary and sufficient conditions for existence of a positive definite solutions are derived. Numerical results for a number of special cases are given. (C) 2002 Elsevier Science Inc. All rights reserved. [References: 9]

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《Applied mathematics and computation》 |2002年第1期|共10页
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El-Sayed SM.; El-Alem M.;
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正文语种 eng
中图分类应用数学;
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1. Some properties for the existence of a positive definite solution of matrix equation X+A(star)X(-2m) A = I [J] . El-Sayed SM., El-Alem M. Applied mathematics and computation . 2002,第1期

机译：矩阵方程X + A（star）X（-2m）A = I的正定解的存在性的某些性质
2. 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
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. 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
5. On Existence and Properties of Rotating Star Solutions to the Euler-Poisson Equations. [D] . Wu, Yilun. 2014

机译：关于Euler-Poisson方程的旋转星解的存在性和性质。
6. 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
7. Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation X+A*X-1A=Q [O] . Engwerda J.C., Ran A.C.M., Rijkeboer A.L. 100

机译：存在矩阵方程X + a * X-1a = Q的正定解的必要条件和充分条件
8. Necessary and Sufficient Conditions for the Existence of a Positive Definite Solution of the Matrix Equation X + A*X(-1)A = Q. [R] . Engwerda, J. C., Ran, A. C. M., Rijkeboer, A. L. 1992

机译：存在矩阵方程X + a * X（-1）a = Q的正定解的充要条件。

Some properties for the existence of a positive definite solution of matrix equation X+A(star)X(-2m) A = I

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