Title :
The Inverse Eigenvalue Problem of Generalized Reflexive Matrices
Author :
Liu, Zhibing ; Bao, Hong ; Xu, Yeying
Author_Institution :
Coll. of Sci., Jiujiang Univ., Jiujiang, China
Abstract :
A real symmetric unipotent matrix P is said to be generalized reflection matrix. A real matrix A is said to be a generalized reflexive matrix with respect to generalized reflection matrix dual (P,Q) if A = PAQ. This paper involves related inverse eigenvalue problems of generalized reflexive matrices and their optimal approximation. Necessary and sufficient conditions for the solvability of the problem are derived,the general expression of the solution is given. The optimal approximate solution is also provided.
Keywords :
approximation theory; computability; eigenvalues and eigenfunctions; matrix algebra; generalized reflexive matrices; inverse eigenvalue problem; optimal approximate solution; optimal approximation; problem solvability; real matrix; real symmetric unipotent matrix; Approximation methods; Educational institutions; Eigenvalues and eigenfunctions; Electronic mail; Genetic expression; Libraries; Symmetric matrices; Generalized reflection matrix; best approximation; generalized reflexive matrix; inverse eigenvalue problem;
Conference_Titel :
Computational and Information Sciences (ICCIS), 2012 Fourth International Conference on
Conference_Location :
Chongqing
Print_ISBN :
978-1-4673-2406-9
DOI :
10.1109/ICCIS.2012.332
