The open archive for STFC research publications

Full Record Details

DOI 10.5286/raltr.2008017
Persistent URL http://purl.org/net/epubs/work/43759
Record Status Checked
Record Id 43759
Title A Bramble-Pasciak-like method with applications in optimization
Abstract Saddle-point systems arise in many applications areas, in fact in any situation where extremum principle arises with constraints. The Stokes problem describing slow viscous flow of an incompressible fluid is an example coming form partial differential equations and in the area of Optimization such problems are ubiquitous. In this manuscript we show how new approaches for the solution of saddle-point systems arising in Optimization can be derived from the Bramble-Pasciak Conjugate Gradient approach widely used in PDEs and more recent generalizations thereof. In particular we derive a class of new solution methods based on the use of Preconditioned Conjugate Gradients in non-standard inner products and demonstrate how these can be understood through more standard machinery. We show connections to Constraint Preconditioning and give the results of numerical computations on a number of standard Optimization test examples.
Organisation CSE , CSE-NAG , STFC
Keywords conjugate gradient methods , Krylov subspaces , linear systems , preconditioning , saddle-point problems
Funding Information
Related Research Object(s):
Licence Information:
Language English (EN)
Type Details URI(s) Local file(s) Year
Report RAL Technical Reports RAL-TR-2008-017. STFC, 2008. dgswRAL2008017.pdf 2008