Geodesic
The convergence of successive approximations method for $p$-adic matrices
Trudy Instituta matematiki, Tome 25 (2017) no. 1, pp. 27-38

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

The article deals with the necessary and sufficient conditions for the convergence of successive approximations of approximate solving linear systems with $p$-adic coefficients. Also, some modifications of these conditions for linear equations in Banach spaces over the field of $p$-adic numbers are presented. 
@article{TIMB_2017_25_1_a2,
     author = {P. P. Zabreiko},
     title = {The convergence of successive approximations method for $p$-adic matrices},
     journal = {Trudy Instituta matematiki},
     pages = {27--38},
     publisher = {mathdoc},
     volume = {25},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMB_2017_25_1_a2/}
}
TY  - JOUR
AU  - P. P. Zabreiko
TI  - The convergence of successive approximations method for $p$-adic matrices
JO  - Trudy Instituta matematiki
PY  - 2017
SP  - 27
EP  - 38
VL  - 25
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TIMB_2017_25_1_a2/
LA  - ru
ID  - TIMB_2017_25_1_a2
ER  - 
%0 Journal Article
%A P. P. Zabreiko
%T The convergence of successive approximations method for $p$-adic matrices
%J Trudy Instituta matematiki
%D 2017
%P 27-38
%V 25
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TIMB_2017_25_1_a2/
%G ru
%F TIMB_2017_25_1_a2
P. P. Zabreiko. The convergence of successive approximations method for $p$-adic matrices. Trudy Instituta matematiki, Tome 25 (2017) no. 1, pp. 27-38. http://geodesic.mathdoc.fr/item/TIMB_2017_25_1_a2/