A remark on solving large systems of equations in function spaces
Applications of Mathematics, Tome 35 (1990) no. 6, pp. 494-498.

Voir la notice de l'article dans Czech Digital Mathematics Library

In order to save CPU-time in solving large systems of equations in function spaces we decompose the large system in subsystems and solve the subsystems by an appropriate method. We give a sufficient condition for the convergence of the corresponding procedure and apply the approach to differential algebraic systems.
DOI : 10.21136/AM.1990.104432
Classification : 47H07, 47J25, 65H10, 65J15, 65L05
Mots-clés : large system; decomposition; block iterative algorithm; differential algebraic eqautions; splitting technique; partial orderings; nonlinear operator; complete metric space; fixed point equation; convergence; uniform contraction 
@article{10_21136_AM_1990_104432,
     author = {Bremer, I. and Schneider, Klaus R.},
     title = {A remark on solving large systems of equations in function spaces},
     journal = {Applications of Mathematics},
     pages = {494--498},
     publisher = {mathdoc},
     volume = {35},
     number = {6},
     year = {1990},
     doi = {10.21136/AM.1990.104432},
     mrnumber = {1089930},
     zbl = {0759.65033},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1990.104432/}
}
TY  - JOUR
AU  - Bremer, I.
AU  - Schneider, Klaus R.
TI  - A remark on solving large systems of equations in function spaces
JO  - Applications of Mathematics
PY  - 1990
SP  - 494
EP  - 498
VL  - 35
IS  - 6
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1990.104432/
DO  - 10.21136/AM.1990.104432
LA  - en
ID  - 10_21136_AM_1990_104432
ER  - 
%0 Journal Article
%A Bremer, I.
%A Schneider, Klaus R.
%T A remark on solving large systems of equations in function spaces
%J Applications of Mathematics
%D 1990
%P 494-498
%V 35
%N 6
%I mathdoc
%U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1990.104432/
%R 10.21136/AM.1990.104432
%G en
%F 10_21136_AM_1990_104432
Bremer, I.; Schneider, Klaus R. A remark on solving large systems of equations in function spaces. Applications of Mathematics, Tome 35 (1990) no. 6, pp. 494-498. doi : 10.21136/AM.1990.104432. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1990.104432/

Cité par Sources :