The Inverse Eigenvalue Problem of Generalized Reflexive Matrices

Author

Liu, Zhibing ; Bao, Hong ; Xu, Yeying

Author_Institution

Coll. of Sci., Jiujiang Univ., Jiujiang, China

fYear

2012

fDate

17-19 Aug. 2012

Firstpage

692

Lastpage

694

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational and Information Sciences (ICCIS), 2012 Fourth International Conference on

Conference_Location

Chongqing

Print_ISBN

978-1-4673-2406-9

Type

conf

DOI

10.1109/ICCIS.2012.332

Filename

6300651