Title :
A Product Integration Method for Eigenvalue Problems of a Class of Non-compact Operators
Author :
Guangqing Long ; Xiaoyuan Huang ; Aimei Tan
Author_Institution :
Math., Guangxi Normal Coll., Nanning, China
Abstract :
We consider the eigenvalue problem of a class of non-compact linear operators given as the sum of a multiplication and a integral operators. A product integration method is used to approximation based on numerical integration of the weakly singular kernel integral operator. It is shown that entries of the corresponding matrix of this method can be evaluated exactly. The convergence of the method is proved.
Keywords :
approximation theory; eigenvalues and eigenfunctions; integral equations; integration; mathematical operators; matrix algebra; eigenvalue problems; multiplication sum; noncompact linear operators; numerical integration; product integration method; weakly singular kernel integral operator; Convergence; Eigenvalues and eigenfunctions; Equations; Interpolation; Kernel; Mathematical model; eigenvalue problems; integral operators; non-compact; product integration methods;
Conference_Titel :
Computational Intelligence and Security (CIS), 2012 Eighth International Conference on
Conference_Location :
Guangzhou
Print_ISBN :
978-1-4673-4725-9
DOI :
10.1109/CIS.2012.91
