Generalized iterative scheme for a generalized spectral problem
نویسندگان
1 Preparatory Class Department,National Polytechnic College of Constantine (Engineering College), Algeria
2 Derzhavin Tambov State University, 33 internatsionalnaya St., Tambov 392000, Russia
3 Department of Mathematics, Faculty of Mathematics and Computer Science and Material Sciences, University 8 May 1945 of Guelma, Algeria
4 Department of Mathematics, Faculty of Mathematics and Computer Science and Material Sciences, University 8 May 1945 of Guelma, Algeria
doi
10.22075/ijnaa.2022.24614.2782چکیده
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.
