Title :
Solving Generalized Eigen-Value by Using Orthogonal Projection LANCZOS Algorithm
Author :
Ke MinYi ; Jin Huazhong
Author_Institution :
Sch. of Comput., Hubei Univ. of Technol., Wuhan, China
Abstract :
Orthogonal projection lanczos algorithm is the effective way to solve the complex structural vibration, vibration frequency and vibration mode. Its idea is to translate high-level vibration problem into low-level to solve the vibration problem without losing eigenvalue. In this paper, a simple and convenient method of computing is presented using Orthogonal Projection lanczos algorithm to solve semi-definite matrix generalized eigenvalue problems and re-solve the eigenvalue.
Keywords :
eigenvalues and eigenfunctions; finite element analysis; structural engineering; vibrations; finite element method; generalized Eigen-value; orthogonal projection lanczos algorithm; semi-definite matrix; structural vibration; vibration frequency; vibration mode; vibration problem; Accuracy; Degradation; Eigenvalues and eigenfunctions; Equations; Finite element methods; Frequency; Roundoff errors; Symmetric matrices; Transforms; Vectors;
Conference_Titel :
Intelligent Systems and Applications (ISA), 2010 2nd International Workshop on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-5872-1
Electronic_ISBN :
978-1-4244-5874-5
DOI :
10.1109/IWISA.2010.5473674