scholarly journals Synchronization-Reducing Variants of the Biconjugate Gradient and the Quasi-Minimal Residual Methods

2013 ◽  
pp. 226-235
Author(s):  
Stefan Feuerriegel ◽  
H. Martin Bücker
Keyword(s):  
Minimal Residual Methods ◽  
Minimal Residual ◽  
Biconjugate Gradient

scholarly journals ACCELERATING WILSON FERMION MATRIX INVERSIONS BY MEANS OF THE STABILIZED BICONJUGATE GRADIENT ALGORITHM

1994 ◽  
Vol 05 (06) ◽  
pp. 1073-1088 ◽  
Author(s):  
ANDREAS FROMMER ◽  
VOLKER HANNEMANN ◽  
BERTOLD NÖCKEL ◽  
THOMAS LIPPERT ◽  
KLAUS SCHILLING
Keyword(s):  
The Other ◽  
Gradient Algorithm ◽  
Lattice Quantum Chromodynamics ◽  
Quark Masses ◽  
Fermion Operator ◽  
Lattice Fermion ◽  
Lattice Quantum ◽  
Minimal Residual Methods ◽  
Minimal Residual ◽  
Biconjugate Gradient

The stabilized biconjugate gradient algorithm BiCGStab recently presented by van der Vorst is applied to the inversion of the lattice fermion operator in the Wilson formulation of lattice Quantum Chromodynamics. Its computational efficiency is tested in a comparative study against the conjugate gradient and minimal residual methods. Both for quenched gauge configurations at β=6.0 and gauge configurations with dynamical fermions at β=5.4, we find BiCGStab to be superior to the other methods. BiCGStab turns out to be particularly useful in the chiral regime of small quark masses.

scholarly journals Least Squares Residuals and Minimal Residual Methods

2002 ◽  
Vol 23 (5) ◽  
pp. 1503-1525 ◽  
Author(s):  
J. Liesen ◽  
M. Rozlozník ◽  
Z. Strakos
Keyword(s):  
Least Squares ◽  
Minimal Residual Methods ◽  
Minimal Residual

Preconditioned Galerkin and minimal residual methods for solving Sylvester equations

2006 ◽  
Vol 181 (2) ◽  
pp. 1208-1214 ◽  
Author(s):  
A. Kaabi ◽  
F. Toutounian ◽  
A. Kerayechian
Keyword(s):  
Minimal Residual Methods ◽  
Minimal Residual

scholarly journals Analysis of acceleration strategies for restarted minimal residual methods

2000 ◽  
Vol 123 (1-2) ◽  
pp. 261-292 ◽  
Author(s):  
Michael Eiermann ◽  
Oliver G. Ernst ◽  
Olaf Schneider
Keyword(s):  
Minimal Residual Methods ◽  
Minimal Residual
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