Solving parameterized generalized inverse eigenvalue problems via Golub-Kahan bidiagonalization
سال انتشار: 1401
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 147
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شناسه ملی سند علمی:
JR_CMCMA-1-1_003
تاریخ نمایه سازی: 3 آذر 1401
چکیده مقاله:
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.
کلیدواژه ها:
Parameterized generalized inverse eigenvalue problem ، Golub-Kahan bidiagonalization ، Nonlinear equations ، Newton's method
نویسندگان
Zeynab Dalvand
Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran
Mohammad Ebrahim Dastyar
Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Iran