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Optimization of one class of nonsymmetrizable algorithms for saddle point problems
Published/Copyright:
October 9, 2014
Abstract
To solve the nondegenerate system of linear special-type equations we consider a threeparameter algorithm which is a generalization of the known Arrow-Hurwicz algorithm. For the proposed algorithm we solve an asymptotic optimization problem in two different statements. We obtain analytic formulae for asymptotically optimal parameters and the convergence factor. The results obtained are of an unimprovable character for the studied class of algorithms.
Published Online: 2014-10-9
Published in Print: 2002-12-1
© 2014 by Walter de Gruyter Berlin/Boston
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- On convergence rate of some iterative methods for bilinear and bicubic finite element schemes for the dissipative Helmholtz equation with large values of a singular parameter
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Articles in the same Issue
- Contents
- Overlapping domain decomposition for elliptic problems on locally refined meshes: Dirichlet boundary conditions
- On convergence rate of some iterative methods for bilinear and bicubic finite element schemes for the dissipative Helmholtz equation with large values of a singular parameter
- Optimization of one class of nonsymmetrizable algorithms for saddle point problems
- Combined estimates of the Monte Carlo method for the third boundary value problem for a parabolic-type equation
- Effect of grid-scale turbulence on ocean modelling