Solving parameterized generalized inverse eigenvalue problems via Golub-Kahan bidiagonalization | ||
| Computational Mathematics and Computer Modeling with Applications (CMCMA) | ||
| مقاله 4، دوره 1، شماره 1، شهریور 2022، صفحه 21-36 اصل مقاله (136.15 K) | ||
| نوع مقاله: Regular paper | ||
| شناسه دیجیتال (DOI): 10.52547/CMCMA.1.1.21 | ||
| نویسندگان | ||
| Zeynab Dalvand* 1؛ Mohammad Ebrahim Dastyar2 | ||
| 1Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran | ||
| 2Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Iran | ||
| چکیده | ||
| In this study, we present two two-step methods to solve parameterized generalized inverse eigenvalue problems that appear in diverse areas of computation and engineering applications. At the first step, we transfer the inverse eigenvalue problem into a system of nonlinear equations by using of the Golub-Kahan bidiagonalization. At the second step, we use Newton's and Quasi-Newton's methods for the numerical solution of system of nonlinear equations. Finally, we present some numerical examples which show that our methods are applicable for solving the parameterized inverse eigenvalue problems. | ||
| کلیدواژهها | ||
| Parameterized generalized inverse eigenvalue problem؛ Golub-Kahan bidiagonalization؛ Nonlinear equations؛ Newton's method | ||
|
آمار تعداد مشاهده مقاله: 250 تعداد دریافت فایل اصل مقاله: 244 |
||