scholarly journals Partitioning Inverse Monte Carlo Iterative Algorithm for Finding the Three Smallest Eigenpairs of Generalized Eigenvalue Problem

2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
Behrouz Fathi Vajargah ◽  
Farshid Mehrdoust
Keyword(s):  
Monte Carlo ◽  
Eigenvalue Problem ◽  
Iterative Algorithm ◽  
Generalized Eigenvalue Problem ◽  
Symmetric Matrices ◽  
Monte Carlo Approach ◽  
Generalized Eigenvalue ◽  
Inverse Monte Carlo

A new Monte Carlo approach for evaluating the generalized eigenpair of real symmetric matrices will be proposed. Algorithm for the three smallest eigenpairs based on the partitioning inverse Monte Carlo iterative (IMCI) method will be considered.

scholarly journals The palindromic generalized eigenvalue problem A∗x=λAx: Numerical solution and applications

2011 ◽  
Vol 434 (11) ◽  
pp. 2269-2284 ◽  
Author(s):  
Tiexiang Li ◽  
Chun-Yueh Chiang ◽  
Eric King-wah Chu ◽  
Wen-Wei Lin
Keyword(s):  
Eigenvalue Problem ◽  
Numerical Solution ◽  
Generalized Eigenvalue Problem ◽  
Generalized Eigenvalue
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