A remark on solving large systems of equations in function spaces
Applications of Mathematics, Tome 35 (1990) no. 6, pp. 494-498
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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
Keywords: large system; decomposition; block iterative algorithm; differential algebraic eqautions; splitting technique; partial orderings; nonlinear operator; complete metric space; fixed point equation; convergence; uniform contraction
Keywords: 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 = {http://geodesic.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 - http://geodesic.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 http://geodesic.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
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