Generalized iterative scheme for a generalized spectral problem

Author(s):

Ammar Khellaf * , Hamza Guebbai , Wassim Merchela , Mohamed Aissaoui

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this work, we define an iterative scheme for a generalized spectral problem associated with two operators defined on a Banach space of infinite dimension. We show that under the norm convergence, the generalized approximated eigenvalues and eigenvectors converge to the exact eigenpairs. As a numerical application, we tackle a generalized eigenvalue problem associated with integral operators, where the accuracy and efficiency are illustrated in some numerical examples.
Keywords:

Generalized spectrum approximation , Operator pencil , iterative scheme

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:14 Issue: 1, Jan 2023
Pages:
1347 to 1357
https://www.magiran.com/p2563247