An iterative method of alternating type for systems with special block matrices

Milan Práger

Applications of Mathematics (1991)

  • Volume: 36, Issue: 1, page 72-78
  • ISSN: 0862-7940

Abstract

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An iterative procedure for systems with matrices originalting from the domain decomposition technique is proposed. The procedure introduces one iteration parameter. The convergence and optimization of the method with respect to the parameter is investigated. The method is intended not as a preconditioner for the CG method but for the independent use.

How to cite

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Práger, Milan. "An iterative method of alternating type for systems with special block matrices." Applications of Mathematics 36.1 (1991): 72-78. <http://eudml.org/doc/15660>.

@article{Práger1991,
abstract = {An iterative procedure for systems with matrices originalting from the domain decomposition technique is proposed. The procedure introduces one iteration parameter. The convergence and optimization of the method with respect to the parameter is investigated. The method is intended not as a preconditioner for the CG method but for the independent use.},
author = {Práger, Milan},
journal = {Applications of Mathematics},
keywords = {iterative methods; block matrix; domain decomposition; numerical example; iterative method of alternating type; block matrices; domain decomposition; numerical example},
language = {eng},
number = {1},
pages = {72-78},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {An iterative method of alternating type for systems with special block matrices},
url = {http://eudml.org/doc/15660},
volume = {36},
year = {1991},
}

TY - JOUR
AU - Práger, Milan
TI - An iterative method of alternating type for systems with special block matrices
JO - Applications of Mathematics
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 36
IS - 1
SP - 72
EP - 78
AB - An iterative procedure for systems with matrices originalting from the domain decomposition technique is proposed. The procedure introduces one iteration parameter. The convergence and optimization of the method with respect to the parameter is investigated. The method is intended not as a preconditioner for the CG method but for the independent use.
LA - eng
KW - iterative methods; block matrix; domain decomposition; numerical example; iterative method of alternating type; block matrices; domain decomposition; numerical example
UR - http://eudml.org/doc/15660
ER -

References

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  1. P. Bjørstad O. Widlund, 10.1137/0723075, SIAM J. Numer. Anal. 23 (1986); 1097-1120. (1986) MR0865945DOI10.1137/0723075
  2. J. Bramble J. Pasciak A. Schatz, An iterative method for elliptic problems on regions partitioned into substructures, Math. Comput. 4(5 (1986), 361-369. (1986) MR0829613
  3. R. Glowinski G. H. Golub G. A. Meurant J. Périaux, First international symposium on domain decomposition methods for partial differential equations, SIAM, Philadelphia, 1988. (1988) MR0972509
  4. L. D. Marini A. Quarteroni, 10.1007/BF01398917, Numer. Math. 55 (1989), 575-598. (1989) MR0998911DOI10.1007/BF01398917

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