Geodesic
Condition number analysis for various forms of block matrix preconditioners
Electronic transactions on numerical analysis, Tome 36 (2010).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {36},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2010__36__a1/}
}
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%A Karátson, János
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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/