子矩阵约束下的Hermite自反矩阵反问题  

The Inverse Problem of Hermite Reflexive Matrices with a Submatrix Constraint

作　　者：李迎春[1] 刘志宏[1] 

机构地区：[1]红河学院数学学院

出　　处：《云南民族大学学报（自然科学版）》2012年第5期345-349,共5页Journal of Yunnan Minzu University:Natural Sciences Edition

基　　金：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)

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.submatrix The paper constraint, the general expression mation solution in the discusses the solutions of inverse problem AX = B for Hermite reflexive matrices with a the sufficient and necessary conditions under which the problem is solvable are obtained, and of the solutions is given. Moreover, to an arbitrary given matrix, the relative optimal approxi- solution set is presented.

关 键 词：Hermite自反矩阵 反问题 最佳逼近解 

分 类 号：O151.21[理学—数学]