The solvability conditions for the inverse eigenvalue problems of reflexive matrices

Authors:
Fu-Zhao Zhou
Affiliations:
College of Mathematics and Statistic, Wuhan University, Wuhan 430072, China and College of Mathematics and Computational Science, Changsha University of Science & Technology, Changsha 410076, Chin ...
Venue:
Journal of Computational and Applied Mathematics
Year:
2006

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Abstract

This paper involves related inverse eigenvalue problems of reflexive matrices and their optimal approximation, the sufficient and necessary conditions under which the solvable problems of inverse eigenvalue, and the general provided form of the solution. Furthermore, the algorithm to compute the optimal approximate solution and some numerical experiments are given.