Geodesic
Condition number analysis for various forms of block matrix preconditioners
Electronic transactions on numerical analysis, Tome 36 (2010)
Various forms of preconditioners for elliptic finite element matrices are studied, based on suitable block matrix partitionings. Bounds for the resulting condition numbers are given, including a study of sensitivity to jumps in the coefficients and to the constant in the strengthened Cauchy-Schwarz-Bunyakowski inequality.
Classification : 65F10, 65N22
Keywords: preconditioning, Schur complement, domain decomposition, Poincaré-Steklov operator, approximate block factorization, strengthened Cauchy-Schwarz-bunyakowski inequality 
@article{ETNA_2010__36__a1,
     author = {Axelsson,  Owe and Kar\'atson,  J\'anos},
     title = {Condition number analysis for various forms of block matrix preconditioners},
     journal = {Electronic transactions on numerical analysis},
     year = {2010},
     volume = {36},
     zbl = {1205.65145},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2010__36__a1/}
}
TY  - JOUR
AU  - Axelsson,  Owe
AU  - Karátson,  János
TI  - Condition number analysis for various forms of block matrix preconditioners
JO  - Electronic transactions on numerical analysis
PY  - 2010
VL  - 36
UR  - http://geodesic.mathdoc.fr/item/ETNA_2010__36__a1/
LA  - en
ID  - ETNA_2010__36__a1
ER  - 
%0 Journal Article
%A Axelsson,  Owe
%A Karátson,  János
%T Condition number analysis for various forms of block matrix preconditioners
%J Electronic transactions on numerical analysis
%D 2010
%V 36
%U http://geodesic.mathdoc.fr/item/ETNA_2010__36__a1/
%G en
%F ETNA_2010__36__a1
Axelsson,  Owe; Karátson,  János. Condition number analysis for various forms of block matrix preconditioners. Electronic transactions on numerical analysis, Tome 36 (2010). http://geodesic.mathdoc.fr/item/ETNA_2010__36__a1/