Title : ( An Efficient Eigen-Solver and Some of Its Applications )
Authors: Mohaamad Rezaiee Pajand , Ahmad Aftabi Sani , Mohammad Sadegh Kazemiyan ,
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Abstract
This paper is mainly devoted to improve the efficiency of the subspace iteration strategy and propose practical new applications for the suggested scheme. In spite of utilizing subspace iteration method for many structures, it has not been mixed with the Sherman–Morrison–Woodbury process for problems with varying stiffness, yet. The authors\\\' technique tries to achieve this goal. To corroborate the efficiency and capability of the present formulations, several numerical tests are performed. In order to assess the effects of various parameters on the eigenpairs of the problems, the required sensitivity analysis is also carried out.
Keywords
Subspace iteration method; Sherman–Morrsion–Woodbury formulas; natural frequency; eigenvalue problem; stiffness matrix; sensitivity analysis
@article{paperid:1075034,
author = {Rezaiee Pajand, Mohaamad and Aftabi Sani, Ahmad and Kazemiyan, Mohammad Sadegh},
title = {An Efficient Eigen-Solver and Some of Its Applications},
journal = {International Journal for Computational Methods in Engineering Science and Mechanics},
year = {2019},
volume = {20},
number = {2},
month = {March},
issn = {1550-2287},
pages = {130--152},
numpages = {22},
keywords = {Subspace iteration method; Sherman–Morrsion–Woodbury formulas; natural frequency; eigenvalue problem; stiffness matrix; sensitivity analysis},
}
%0 Journal Article
%T An Efficient Eigen-Solver and Some of Its Applications
%A Rezaiee Pajand, Mohaamad
%A Aftabi Sani, Ahmad
%A Kazemiyan, Mohammad Sadegh
%J International Journal for Computational Methods in Engineering Science and Mechanics
%@ 1550-2287
%D 2019
