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Mathematical Problems in EngineeringVolume 2010 2010, Article ID 837527, 11 pages

Research ArticleDepartment of Mathematics, East China Normal University, Shanghai 200241, China

Received 11 February 2010; Accepted 27 April 2010

Academic Editor: Angelo Luongo

Copyright © 2010 Linlin Zhao and Guoliang Chen.
This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We first consider the following inverse eigenvalue problem: given and a diagonal matrix , find Hermite-Hamilton matrices and such that .
We then consider an optimal approximation problem: given Hermitian matrices and , find a solution of the above inverse problem such that .
By using the Moore-Penrose generalized inverse and the singular value decompositions, the solvability conditions and the representations of the general solution for the first problem are derived.
The expression of the solution to the second problem is presented.





Autor: Linlin Zhao and Guoliang Chen

Fuente: https://www.hindawi.com/



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