Generalized iterative scheme for a generalized spectral problem
عنوان مقاله: Generalized iterative scheme for a generalized spectral problem
شناسه ملی مقاله: JR_IJNAA-14-1_104
منتشر شده در در سال 1402
شناسه ملی مقاله: JR_IJNAA-14-1_104
منتشر شده در در سال 1402
مشخصات نویسندگان مقاله:
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
خلاصه مقاله:
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
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.
کلمات کلیدی: Generalized spectrum approximation, Operator pencil, iterative scheme
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1740030/