Geodesic
Сonvergence analysis of weak and weaker matrix splittings
Matematičeskoe modelirovanie, Tome 13 (2001) no. 3, pp. 33-40 
Z. Woźnicki. Сonvergence analysis of weak and weaker matrix splittings. Matematičeskoe modelirovanie, Tome 13 (2001) no. 3, pp. 33-40. http://geodesic.mathdoc.fr/item/MM_2001_13_3_a3/
@article{MM_2001_13_3_a3,
     author = {Z. Wo\'znicki},
     title = {{\CYRS}onvergence analysis of weak and weaker matrix splittings},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {33--40},
     year = {2001},
     volume = {13},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2001_13_3_a3/}
}
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TI  - Сonvergence analysis of weak and weaker matrix splittings
JO  - Matematičeskoe modelirovanie
PY  - 2001
SP  - 33
EP  - 40
VL  - 13
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/MM_2001_13_3_a3/
LA  - ru
ID  - MM_2001_13_3_a3
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%A Z. Woźnicki
%T Сonvergence analysis of weak and weaker matrix splittings
%J Matematičeskoe modelirovanie
%D 2001
%P 33-40
%V 13
%N 3
%U http://geodesic.mathdoc.fr/item/MM_2001_13_3_a3/
%G ru
%F MM_2001_13_3_a3

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

The main goal of this paper is to present comparison theorems proven under natural conditions such as $N_2\ge N_1$ and $M_1^{-1}\ge M_2^{-1}$ for weak and weaker splittings of $A=M_1-N_1=M_2-N_2$ for the cases when $A^{-1}\ge 0$ and $A^{-1}\le 0$.