Title :
On the Construction of Positive Definite Arrow Matrix from Two Eigenpairs
Author :
Liu, Zhibing ; Wang, Kanmin ; 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.
Keywords :
eigenvalues and eigenfunctions; matrix algebra; eigenpair; inverse eigenvalue problem; positive definite arrow matrix; Eigenvalues and eigenfunctions; Equations; Inverse problems; Matrix decomposition; Presses; Sufficient conditions; Symmetric matrices; Arrow matrix; inverse eigenvalue problem; symmetric positive definite matrix;
Conference_Titel :
Computational and Information Sciences (ICCIS), 2010 International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-8814-8
Electronic_ISBN :
978-0-7695-4270-6
DOI :
10.1109/ICCIS.2010.334
