| THE NECESSARY AND SUFFICIENT CONDITIONS FOR THE SOLVABILITY OF A CLASS OF THE MATRIX INVERSE PROBLEM |
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| 作者姓名： | 廖安平 张磊 |
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| 作者单位： | Liao An-ping Zhang Lei
Department of Mathematics，Hunan Normal University，Changsha 410081，PRC. Hunan Computer Center，Changsha 410012，PRC. |
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| 摘 要： | Censider the solutions of the matrix inverse problem, which are symmetric positive semide finite on a subspace. Necessary and sufficient conditions for the solvability, as well as the general solution are obtained. The best approximate solution by the above solution set is given. Thus the open problem in 1] is solved.
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THE NECESSARY AND SUFFICIENT CONDITIONS FOR THE SOLVABILITY OF CLASS OF THE MATRIX INVERSE PROBLEM* |
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| Liao An-ping Zhang Lei.THE NECESSARY AND SUFFICIENT CONDITIONS FOR THE SOLVABILITY OF A CLASS OF THE MATRIX INVERSE PROBLEM[J].Numerical Mathematics A Journal of Chinese Universities English Series,1998(2). |
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| Authors: | Liao An-ping Zhang Lei |
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| Institution: | Liao An-ping Zhang Lei
Department of Mathematics,Hunan Normal University,Changsha 410081,PRC. Hunan Computer Center,Changsha 410012,PRC. |
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| Abstract: | Consider the solutions of the matrix inverse problem, which are symmetric positive semidefinite on a subspace. Necessary and sufficient conditions for the solvability, as well as the general solution are obtained. The best approximate solution by the above solution set is given. Thus the open problem in 1] is solved. |
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| Keywords: | Matrix inverse problem symmetric positive semidefinite matrix best approximate solution |
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