A Fast Adaptive Algorithm for the Generalized Symmetric Eigenvalue Problem

2008 ◽  
Vol 15 ◽  
pp. 797-800 ◽  
Author(s):  
Samir Attallah ◽  
Karim Abed-Meraim
Keyword(s):  
Eigenvalue Problem ◽  
Adaptive Algorithm ◽  
Symmetric Eigenvalue Problem

scholarly journals A blocked QR-decomposition for the parallel symmetric eigenvalue problem

2014 ◽  
Vol 40 (7) ◽  
pp. 186-194 ◽  
Author(s):  
T. Auckenthaler ◽  
T. Huckle ◽  
R. Wittmann
Keyword(s):  
Eigenvalue Problem ◽  
Qr Decomposition ◽  
Symmetric Eigenvalue Problem

scholarly journals Multigrid Discretization and Iterative Algorithm for Mixed Variational Formulation of the Eigenvalue Problem of Electric Field

2012 ◽  
Vol 2012 ◽  
pp. 1-25 ◽  
Author(s):  
Yidu Yang ◽  
Yu Zhang ◽  
Hai Bi
Keyword(s):  
Finite Element ◽  
Eigenvalue Problem ◽  
Electric Field ◽  
Adaptive Algorithm ◽  
Variational Formulation ◽  
High Efficiency ◽  
Mixed Finite Element ◽  
Mixed Finite Element Method ◽  
Rayleigh Quotient ◽  
Rayleigh Quotient Iteration

This paper discusses highly finite element algorithms for the eigenvalue problem of electric field. Combining the mixed finite element method with the Rayleigh quotient iteration method, a new multi-grid discretization scheme and an adaptive algorithm are proposed and applied to the eigenvalue problem of electric field. Theoretical analysis and numerical results show that the computational schemes established in the paper have high efficiency.

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