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On preconditioned Uzawa methods and SOR methods for saddle-point problems

✍ Scribed by Xiaojun Chen

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
776 KB
Volume
100
Category
Article
ISSN
0377-0427

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✦ Synopsis

This paper studies convergence analysis of a preconditioned inexact Uzawa method for nondifferentiable saddle-point problems. The SOR-Newton method and the SOR-BFGS method are special cases of this method. We relax the Bramble-Pasciak-Vassilev condition on preconditioners for convergence of the inexact Uzawa method for linear saddle-point problems. The relaxed condition is used to determine the relaxation parameters in the SOR-Newton method and the SOR-BFGS method. Furthermore, we study global convergence of the multistep inexact Uzawa method for nondifferentiable saddle-point problems. (~) 1998 Elsevier Science B.V. All fights reserved.

πŸ“œ SIMILAR VOLUMES

Landesman–Lazer resonance problems and s
Landesman–Lazer resonance problems and saddle point methods
✍ Martin Schechter πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 376 KB

## Abstract We show how saddle point techniques can be used to obtain new results for general resonance problems of the type considered by Landesman and Lazer.