0439106 - ÚGN 2016 RIV GB eng J - Článek v odborném periodiku
Axelsson, Owe
Unified analysis of preconditioning methods for saddle point matrices.
Numerical Linear Algebra with Applications. Roč. 22, č. 2 (2015), s. 233-253. ISSN 1070-5325. E-ISSN 1099-1506
Grant CEP: GA MŠMT ED1.1.00/02.0070
Institucionální podpora: RVO:68145535
Klíčová slova: saddle point problems * preconditioning * spectral properties
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.431, rok: 2015 ; AIS: 1.144, rok: 2015
Web výsledku:
http://onlinelibrary.wiley.com/doi/10.1002/nla.1947/pdf
DOI: https://doi.org/10.1002/nla.1947

Short and unified proofs of spectral properties of major preconditioners for saddle point problems are presented. The need to sufficiently accurately construct approximations of the pivot block and Schur complement matrices to obtain real eigenvalues or eigenvalues with positive real parts and non-dominating imaginary parts are pointed out. The use of augmented Lagrangian methods for more ill-conditioned problems are discussed.
Trvalý link: http://hdl.handle.net/11104/0242418