Generalized iterative scheme for a generalized spectral problem
Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJNAA-14-1_104
تاریخ نمایه سازی: 5 شهریور 1402
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.
Authors
Ammar Khellaf
Preparatory Class Department,National Polytechnic College of Constantine (Engineering College), Algeria
Hamza Guebbai
Department of Mathematics, Faculty of Mathematics and Computer Science and Material Sciences, University ۸ May ۱۹۴۵ of Guelma, Algeria
Wassim Merchela
Derzhavin Tambov State University, ۳۳ internatsionalnaya St., Tambov ۳۹۲۰۰۰, Russia
Mohamed Aissaoui
Department of Mathematics, Faculty of Mathematics and Computer Science and Material Sciences, University ۸ May ۱۹۴۵ of Guelma, Algeria