TY - JOUR
ID - 101992
TI - Solving parameterized generalized inverse eigenvalue problems via Golub-Kahan bidiagonalization
JO - Computational Mathematics and Computer Modeling with Applications (CMCMA)
JA - CMCMA
LA - en
SN -
AU - Dalvand, Zeynab
AU - Dastyar, Mohammad Ebrahim
AD - Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran
AD - Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Iran
Y1 - 2022
PY - 2022
VL - 1
IS - 1
SP - 21
EP - 36
KW - Parameterized generalized inverse eigenvalue problem
KW - Golub-Kahan bidiagonalization
KW - Nonlinear equations
KW - Newton's method
DO - 10.52547/CMCMA.1.1.21
N2 - 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.
UR - https://cmcma.sbu.ac.ir/article_101992.html
L1 - https://cmcma.sbu.ac.ir/article_101992_75a1235cf3c0015c32d00147235f417f.pdf
ER -