| 非线性矩阵方程X＋A^＊X^-1A=I的最大Hermite正定解 |
| |
| 引用本文： | 李海龙. 非线性矩阵方程X＋A^＊X^-1A=I的最大Hermite正定解[J]. 东北师大学报(自然科学版), 2008, 40(2): 12-14 |
| |
| 作者姓名： | 李海龙 |
| |
| 作者单位： | 吉林工程技术师范学院基础科学系,吉林,长春,130052 |
| |
| 摘 要： | 研究了求解非线性矩阵方程x A*x-A=I之Hermite正定解问题.利用求解非线性矩阵方程Y=I Y1/2A*Y1/2最小Hermite正定解,得到了求解该方程最大Hermite正定解的逆迭代法.
|
| 关 键 词： | 矩阵方程 Hermite正定解 逆迭代法 |
| 文章编号： | 1000-1832(2008)02-0012-03 |
| 修稿时间： | 2007-07-20 |
On the maximal Hermite positive definite solution of nonlinear matrix equation X + A*X-1A=I |
| |
| LI Hai-long. On the maximal Hermite positive definite solution of nonlinear matrix equation X + A*X-1A=I[J]. Journal of Northeast Normal University (Natural Science Edition), 2008, 40(2): 12-14 |
| |
| Authors: | LI Hai-long |
| |
| Abstract: | In this paper,study several iterative method for finding the maximal Hermite positive definite solution of nonlinear matrix equation X A~*X~(-1)A=I.Using solved minimal Hermite positive definite solution of nonlinear matrix equation Y=I Y12AYAY12 obtain inverse iterative method. |
| |
| Keywords: | matrix equation Hermite positive definite solution inverse iterative method |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
