Shahid Beheshti UniversityComputational Mathematics and Computer Modeling with Applications (CMCMA)2783-48591120220601Solving parameterized generalized inverse eigenvalue problems via Golub-Kahan bidiagonalization213610199210.52547/CMCMA.1.1.21ENZeynab DalvandDepartment of Applied Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran0000-0002-6527-9458Mohammad Ebrahim DastyarDepartment of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Iran0000-0003-3423-7869Journal Article20211213In 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.https://cmcma.sbu.ac.ir/article_101992_75a1235cf3c0015c32d00147235f417f.pdf