%0 Journal Article
%T Solving parameterized generalized inverse eigenvalue problems via Golub-Kahan bidiagonalization
%J Computational Mathematics and Computer Modeling with Applications (CMCMA)
%I Shahid Beheshti University
%Z 2783-4859
%A Dalvand, Zeynab
%A Dastyar, Mohammad Ebrahim
%D 2022
%\ 06/01/2022
%V 1
%N 1
%P 21-36
%! Solving parameterized generalized inverse eigenvalue problems via Golub-Kahan bidiagonalization
%K Parameterized generalized inverse eigenvalue problem
%K Golub-Kahan bidiagonalization
%K Nonlinear equations
%K Newton's method
%R 10.52547/CMCMA.1.1.21
%X 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.
%U https://cmcma.sbu.ac.ir/article_101992_75a1235cf3c0015c32d00147235f417f.pdf