Geodesic
Spectral optimization of explicit iterative methods. I
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part VII, Tome 139 (1984), pp. 51-60 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

Methods of constructing preconditioning of explicit iterative methods of solving systems of linear, algebraic equations with sparse matrices are considered in the work. The techniques considered can, first of all, be realized within the framework of the simplest data structures; secondly, the graph structures of the corresponding algorithms are well adapted to realization on parallel computers; thirdly, in conjunction with modifications of Chebyshev methods they make it possible to construct rather effective computational algorithms. Experimental data are presented which demonstrate the effect of the proposed techniques of preconditioning of the distribution of the eigenvalues of matrices of systems arising in discretization of two-dimensional elliptic boundary-value problems. 
@article{ZNSL_1984_139_a3,
     author = {A. Yu. Yeremin and I. E. Kaporin},
     title = {Spectral optimization of explicit iterative {methods.~I}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {51--60},
     year = {1984},
     volume = {139},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_139_a3/}
}
TY  - JOUR
AU  - A. Yu. Yeremin
AU  - I. E. Kaporin
TI  - Spectral optimization of explicit iterative methods. I
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1984
SP  - 51
EP  - 60
VL  - 139
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1984_139_a3/
LA  - ru
ID  - ZNSL_1984_139_a3
ER  - 
%0 Journal Article
%A A. Yu. Yeremin
%A I. E. Kaporin
%T Spectral optimization of explicit iterative methods. I
%J Zapiski Nauchnykh Seminarov POMI
%D 1984
%P 51-60
%V 139
%U http://geodesic.mathdoc.fr/item/ZNSL_1984_139_a3/
%G ru
%F ZNSL_1984_139_a3
A. Yu. Yeremin; I. E. Kaporin. Spectral optimization of explicit iterative methods. I. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part VII, Tome 139 (1984), pp. 51-60. http://geodesic.mathdoc.fr/item/ZNSL_1984_139_a3/