| 关于矩阵方程Xs+A*X-qA=I*（英文） |
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| 引用本文： | 王明辉,魏木生.关于矩阵方程Xs+A*X-qA=I*（英文）[J].高等学校计算数学学报,2012(3):277-288. |
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| 作者姓名： | 王明辉 魏木生 |
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| 作者单位： | 青岛科技大学数学系;上海师范大学数学系 |
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| 基金项目： | 国家自然科学基金资助项目(11001144,11171226);山东省高等学校科技计划项目(J11LA04) |
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| 摘 要： | In Theorem 2.4 of the paperYang Yueting,The iterative method for solving nonlinear matrix equation Xs + A*X-tA = Q,Appl.Math.Comput., 188（2007）46-53],Yang showed that this equation has the maximal solution XL. In this paper,we point out that Yang’s result is doubtful,study the existence of the Hermitian positive definite solutions,the maximal solution and the minimal solution for the case that Q = I,and give the algorithms for finding these special solutions.
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| 关 键 词： | Nonlinear matrix equation Hermitian positive definite solutions Maximal solution Minimal solution |
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