Title :
On the Construction of Positive Definite Doubly Arrow Matrix from Two Eigenpairs
Author :
Wang, Kanmin ; Liu, Zhibing ; Xu, Chengfeng
Author_Institution :
Coll. of Sci., Jiujiang Univ., Jiujiang, China
Abstract :
A class of inverse eigenvalue problem is proposed for real symmetric positive definite Arrow matrices. Necessary and sufficient conditions for the existence of a unique solution of this problem, as well as the analytic formula of this solution are derived, Our results are constructive, in the sense that they generate an algorithmic procedure to construct the matrix.
Keywords :
eigenvalues and eigenfunctions; inverse problems; matrix algebra; inverse eigenvalue problem; symmetric positive definite doubly arrow matrix; Eigenvalues and eigenfunctions; Equations; Inverse problems; Matrix decomposition; Presses; Sufficient conditions; Symmetric matrices; Doubly Arrow matrix; inverse eigenvalue problem; symmetric positive definite matrix;
Conference_Titel :
Computational Sciences and Optimization (CSO), 2011 Fourth International Joint Conference on
Conference_Location :
Yunnan
Print_ISBN :
978-1-4244-9712-6
Electronic_ISBN :
978-0-7695-4335-2
DOI :
10.1109/CSO.2011.186
