| 矩阵方程X＋A1^＊X^-1A1＋A2^＊X^-1A2=I的Hermite正定解 |
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| 引用本文： | 龙建辉,何佑梅,詹慧菁.矩阵方程X＋A1^＊X^-1A1＋A2^＊X^-1A2=I的Hermite正定解[J].赣南师范学院学报,2009,30(6):10-12. |
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| 作者姓名： | 龙建辉 何佑梅 詹慧菁 |
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| 作者单位： | 福建工程学院,数理系,福州,350108 |
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| 基金项目： | 高等学校博士学科点专项科研基金，福建省自然科学基金，福建工程学院院基金 |
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| 摘 要： | 研究非线性矩阵方程有正定解的条件，给出了一个求Hermite正定解的算法．数值例子说明算法是可行有效的．
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| 关 键 词： | 非线性矩阵方程 正定解 算法 |
The Hermitian Positive Definite Solution of the Matrix Equation |
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| LONG Jian-hui,HE You-mei,ZHANG Hui-jing.The Hermitian Positive Definite Solution of the Matrix Equation[J].Journal of Gannan Teachers' College(Social Science(2)),2009,30(6):10-12. |
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| Authors: | LONG Jian-hui HE You-mei ZHANG Hui-jing |
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| Institution: | LONG Jian-hui, HE You-mei, ZHANG Hui-jing (Department of Mathematics and Physics, Fujian University of Technology, FuZhou 350108, China) |
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| Abstract: | Some necessary or sufficient conditions for the existence of a positive definite solution of the matrix equation are obtained.Based on them,an iterative algorithm to find the positive definite solution is given.Numerical example is reported to illustrate the effectiveness of the algorithm. |
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| Keywords: | nonlinear matrix equation positive definite solution algorithm |
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