On Positive Definite Solutions of the Nonlinear Matrix Equation X+A*X^(-1)A=P

机译：非线性矩阵方程X + A * X ^（-1）A = P的正定解

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In this paper, we clearly study the properties of the Hermite positive definite solutions of a nonlinear matrix equation and improve a result. We get that if a condition is satisfied, all eigenvalues of the Hermite positive definite solutions of the equation locate in a range.

机译：在本文中，我们清楚地研究了非线性矩阵方程的Hermite正定解的性质，并改进了结果。我们得到，如果满足条件，则方程的Hermite正定解的所有特征值都位于一个范围内。

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《Innovative Computing Communication, 2010 International Conference on and Information Technology Ocean Engineering, 2010》|2010年|p.364-365|共2页
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作者
Fang Ping; Zhou Yu-zhong; Zhang Xin;
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正文语种
中图分类计算技术、计算机技术;
关键词
Frobenius norm; nonlinear matrix equation; spectral norm;

机译：Frobenius范数;非线性矩阵方程;谱范数;

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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 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. Iterative methods for the extremal positive definite solution of the matrix equation X+A*X-(alpha)A=Q star [J] . Peng ZY, El-Sayed SM, Zhang XL Journal of Computational and Applied Mathematics . 2007,第2期

机译：矩阵方程X + A *X-αA= Q star的极值正定解的迭代方法
5. The Hermitian Positive Definite Solution of a Type of Nonlinear Matrix Equations X+A*X-1A=I [C] . Peiyu Wei, Boxue Tan, Xueting Liu IEEE international conference on computer science and information technology;ICCSIT 2009 . 2009

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6. Positive solutions of higher order boundary value problems of nonlinear fractional differential equations. [D] . McCabe, Michael. 2014

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7. An Inversion-Free Method for Finding Positive Definite Solution of a Rational Matrix Equation [O] . Fazlollah Soleymani, Mahdi Sharifi, Solat Karimi Vanani, -1

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8. Positive Definite Solutions of the Nonlinear Matrix Equation $X+A^{\mathrm{H}}\bar{X}^{-1}A=I$ [O] . Zhou, Bin, Cai, Guang-Bin, Lam, James 2012

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On Positive Definite Solutions of the Nonlinear Matrix Equation X+A*X^(-1)A=P

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