Reconfigurable architecture for the efficient solution of large-scale non-Hermitian eigenvalue problems

2006 ◽  
Author(s):  
Fernando E. Ortiz ◽  
Michael R. Bodnar ◽  
James P. Durbano ◽  
Eric J. Kelmelis
Keyword(s):  
Large Scale ◽  
Efficient Solution ◽  
Eigenvalue Problems ◽  
Reconfigurable Architecture

A Novel Perturbative Iteration Algorithm for Effective and Efficient Solution of Frequency-Dependent Eigenvalue Problems

2012 ◽  
Vol 4 (03) ◽  
pp. 325-339
Author(s):  
Rongming Lin
Keyword(s):  
Efficient Solution ◽  
Eigenvalue Problems ◽  
Computer Algorithm ◽  
Iteration Algorithm ◽  
Engineering Structures ◽  
Frequency Dependent ◽  
Case Examples ◽  
General Frequency

AbstractMany engineering structures exhibit frequency dependent characteristics and analyses of these structures lead to frequency dependent eigenvalue problems. This paper presents a novel perturbative iteration (PI) algorithm which can be used to effectively and efficiently solve frequency dependent eigenvalue problems of general frequency dependent systems. Mathematical formulations of the proposed method are developed and based on these formulations, a computer algorithm is devised. Extensive numerical case examples are given to demonstrate the practicality of the proposed method. When all modes are included, the method is exact and when only a subset of modes are used, very accurate results are obtained.

312 Solving Large-scale Eigenvalue Problems more than 10M d.o.f

2006 ◽  
Vol 2006.19 (0) ◽  
pp. 157-158
Author(s):  
Kiyoshi Matsubara ◽  
Takuhito Kuwabara ◽  
Takamichi Arakawa ◽  
Takashi Ishiwata ◽  
Fumio Kubo
Keyword(s):  
Large Scale ◽  
Eigenvalue Problems
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