SOR-like Methods for Augmented Systems

By Gene H. Golub, Xiaonan Wu, Jinyun Yuan. 2001

282 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

On generalized symmetric SOR method for augmented systems (2008, methodology): “[7] presented SOR-like algorithms for solving system (1.”
On generalized successive overrelaxation methods for augmented linear systems (2005, methodology): “Section 6 presents a complete analysis of the one-parameter SOR-like method studied in [ 17 ].”
A Preconditioner for Generalized Saddle Point Problems (2004, methodology): “Besides specialized sparse direct solvers [16, 17] we mention, among others, Uzawa-type schemes [11, 21, 24, 27, 62], block and approximate Schur complement preconditioners [4, 15, 20, 22, 41, 45, 46, 48, 51], splitting methods [18, 30, 31, 49, 57], indefinite preconditioning [23, 35, 39, 43, 48], i”
On semi-convergence of parameterized Uzawa methods for singular saddle point problems☆ (2009, methodology): “1 is more efficient than the SOR-like method proposed in [22].”
Neurobiology of Aging: Contents (2005, unknown): “In particular, SOR and block-SOR type schemes have been proposed in [451] for the Stokes problem, in [33, 42, 394] for structural analysis computations, and in [98, 225, 321] for general saddle point systems.”