| 子矩阵约束下的Hermite自反矩阵反问题 |
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| 引用本文： | 李迎春,刘志宏.子矩阵约束下的Hermite自反矩阵反问题[J].云南民族大学学报(自然科学版),2012,21(5):345-349. |
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| 作者姓名： | 李迎春 刘志宏 |
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| 作者单位： | 红河学院数学学院,云南蒙自,661100 |
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| 基金项目： | 云南省教育厅科学研究基金(09C0206);红河学院一类重点课程建设项目(ZDKC1003) |
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| 摘 要： | 讨论了子矩阵约束下矩阵反问题AX=B的Hermite自反矩阵解,给出了解存在的充要条件和通解表达式,且对任一给定矩阵,在解集合中求出了最佳逼近解.
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| 关 键 词： | Hermite 自反矩阵 反问题 最佳逼近解 |
The Inverse Problem of Hermite Reflexive Matrices with a Submatrix Constraint |
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| LI Ying-chun
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LIU Zhi-hong.The Inverse Problem of Hermite Reflexive Matrices with a Submatrix Constraint[J].Journal of Yunnan Nationalities University:Natural Sciences Edition,2012,21(5):345-349. |
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| Authors: | LI Ying-chun LIU Zhi-hong |
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| Affiliation: | (College of Mathematics,Honghe University,Mengzi 661100,China) |
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| Abstract: | The paper discusses the solutions of inverse problem AX=B for Hermite reflexive matrices with a submatrix constraint,the sufficient and necessary conditions under which the problem is solvable are obtained,and the general expression of the solutions is given.Moreover,to an arbitrary given matrix,the relative optimal approximation solution in the solution set is presented. |
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| Keywords: | Hermite reflexive matrices inverse problem optimal approximation solutions |
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