Geodesic
Parallel implementation of an iterative algorithm for solving nonsymmetric
Numerical methods and programming, Tome 11 (2010) no. 4, pp. 373-381

Voir la notice de l'article provenant de la source Math-Net.Ru

A parallel implementation of the SOFGMRES(m) iterative algorithm with partial retention of information on explicit restarts is discussed. An arbitrary initial subspace is an important degree of freedom for this algorithm. From the convergence substantiation of the SOFGMRES(m) algorithm it follows that an appropriately chosen initial subspace can be considered as an additional preconditioner, since this subspace reduces the generalized condition number of a matrix and accelerates the convergence of the SOFGMRES(m) algorithm. The numerical results show the reliability of the proposed algorithm and its algebraic and parallel efficiency compared to the classical Krylov subspace-type algorithms.
Keywords: parallel iterative algorithm; explicit restarts; subspace condition; additional preconditioning. 
@article{VMP_2010_11_4_a9,
     author = {S. A. Kharchenko},
     title = {Parallel implementation of an iterative algorithm for solving nonsymmetric},
     journal = {Numerical methods and programming},
     pages = {373--381},
     publisher = {mathdoc},
     volume = {11},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2010_11_4_a9/}
}
TY  - JOUR
AU  - S. A. Kharchenko
TI  - Parallel implementation of an iterative algorithm for solving nonsymmetric
JO  - Numerical methods and programming
PY  - 2010
SP  - 373
EP  - 381
VL  - 11
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMP_2010_11_4_a9/
LA  - ru
ID  - VMP_2010_11_4_a9
ER  - 
%0 Journal Article
%A S. A. Kharchenko
%T Parallel implementation of an iterative algorithm for solving nonsymmetric
%J Numerical methods and programming
%D 2010
%P 373-381
%V 11
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMP_2010_11_4_a9/
%G ru
%F VMP_2010_11_4_a9
S. A. Kharchenko. Parallel implementation of an iterative algorithm for solving nonsymmetric. Numerical methods and programming, Tome 11 (2010) no. 4, pp. 373-381. http://geodesic.mathdoc.fr/item/VMP_2010_11_4_a9/