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THE SOLVABILITY CONDITIONS FOR AN INVERSE EIGEN-PAIR PROBLEM

THE SOLVABILITY CONDITIONS FOR AN INVERSE EIGEN-PAIR PROBLEM
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摘要 This paper discusses problem IEP:Given n×m matrix X and m×m diagonal matrix A, find an n×n matrix A such that AX=XA.The new solvablily conditions for the problem IEP are obtained. The eigenvalue dislribulaion of the solutions for the problem IEP are described in detail. This paper discusses problem IEP:Given n×m matrix X and m×m diagonal matrix A, find an n×n matrix A such that AX=XA.The new solvablily conditions for the problem IEP are obtained. The eigenvalue dislribulaion of the solutions for the problem IEP are described in detail.
作者 张磊 胡锡炎
基金 Supported by the National NSF of China.
关键词 Eigen-pair INVERSE PROBLEM SOLVABILITY CONDITIONS Eigen-pair inverse problem,solvability conditions
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