Essays about: "Nonsymmetric linear systems"

Found 3 essays containing the words Nonsymmetric linear systems.

1. 1. A study of the s-step biconjugate gradient method

   University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

   Author : Carlotta Boi; [2022]
   Keywords : biconjugate gradient methods; s-step biconjugate gradient methods; nonsymmetric linear systems; sparse matrices.; Mathematics and Statistics;

   Abstract : In this thesis we will examine how to solve linear systems using the s-step biconjugate gradient algorithm, which is an iterative method based on the Krylov subspaces. It is useful especially when we have a large and sparse matrix. READ MORE

3. 2. Smoothed Aggregation for Nonsymmetric Linear Systems

   University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematikcentrum

   Author : Siobhan Correnty; [2019]
   Keywords : Mathematics and Statistics;

   Abstract : Smoothed Aggregation (SA) is a technique from algebraic multigrid methods (AMG) which has shown very promising results when solving systems of linear equations with symmetric system matrices, but suboptimal results for nonsymmetric system matrices. The purpose of this thesis is to investigate the method EMIN(r) and a closely related method EMIN proposed by Sala and Tuminaro. READ MORE

4. 3. GMRES and Weighted GMRES for solving nonsymmetric linear systems

   University essay from Lunds universitet/Matematik LTH

   Author : Gustav Kratz; [2016]
   Keywords : Nonsymmetric linear systems; Krylov subspaces; Iterative methods; Arnoldi; GMRES; Mathematics and Statistics;

   Abstract : The Implementation and some mathematical properties of GMRES and weighted GMRES (WGMRES) are described. Numerical experiments originally performed by Essai (1998) are performed to compare the two methods. GMRES and WGMRES are used to solve a linear system arising from the Poisson equation and compared with respect to computational effort.. READ MORE