| THE SOLVABILITY CONDITIONS FOR INVERSE EIGENVALUE PROBLEM OF ANTI-BISYMMETRIC MATRICES |
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| 作者姓名： | Dong-xiu Xie |
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| 作者单位： | Dong-xiu Xie (Beijing Institute of Machinery Industry，Beijing 100085，China)Xi-yan Hu (Department of Applied Mathematics，Hunan University，Changsha 410082，China)Lei Zhang (Hunan Computing Center，Changsha 410012，China) |
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| 基金项目： | Supported by the National Nature Science Fundation of China. |
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| 摘 要： | AbstractThis paper is mainly concerned with solving the following two problems: Problem I. Given X Cnxm, A = diag( 1, 2, ..... , m) Cmxm . Find A ABSRnxn such thatAX = XAwhere ABSRnxn is the set of all real n x n anti-bisymmetric matrices. Problem II. Given A RnXn. Find A SE such thatwhere || || is Frobenius norm, and SE denotes the solution set of Problem I.The necessary and sufficient conditions for the solvability of Problem I have been studied. The general form of SB has been given. For Problem II the expression of the solution has been provided.
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THE SOLVABILITY CONDITIONS FOR INVERSE EIGENVALUE PROBLEM OF ANTI-BISYMMETRIC MATRICES |
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| Dong-xiu Xie.THE SOLVABILITY CONDITIONS FOR INVERSE EIGENVALUE PROBLEM OF ANTI-BISYMMETRIC MATRICES[J].Journal of Computational Mathematics,2002(3). |
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| Authors: | Dong-xiu Xie |
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| Abstract: | |
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| Keywords: | Eigenvalue problem Norm Approximate solution |
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