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Generalized iterative scheme for a generalized spectral problem | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 104، دوره 14، شماره 1، فروردین 2023، صفحه 1347-1357 اصل مقاله (371.77 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.24614.2782 | ||
| نویسندگان | ||
| Ammar Khellaf* 1؛ Hamza Guebbai2؛ Wassim Merchela3؛ Mohamed Zine Aissaoui2 | ||
| 1Preparatory Class Department,National Polytechnic College of Constantine (Engineering College), Algeria | ||
| 2Department of Mathematics, Faculty of Mathematics and Computer Science and Material Sciences, University 8 May 1945 of Guelma, Algeria | ||
| 3Derzhavin Tambov State University, 33 internatsionalnaya St., Tambov 392000, Russia | ||
| تاریخ دریافت: 31 شهریور 1400، تاریخ بازنگری: 05 مهر 1400، تاریخ پذیرش: 13 آبان 1401 | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Generalized spectrum approximation؛ Operator pencil؛ Iterative scheme | ||
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