A.J. Wathen, B. Fischer, D.J. Silvester  Home/Search
Context Related
| comlab.ox.ac.uk/pub/Do...NA9716.ps.gz Cached: PS.gz PS PDF This document uses CoBlitz to cache paper downloads. If your firewall is blocking outgoing connections to port 3125, you can use these links to download local copies.
Image Update HelpPS.gz PS PDF From: web.comlab.ox.ac.uk/ou...na9716 (more) (Enter author homepages) |
Rate this article:      (best)Comment on this article |
Abstract: this paper we concentrate on convergence estimates for miminum residual iteration applied to a linear system Ax = b, (so that A represents the preconditioned coefficient matrix if preconditioning is employed). In particular we generalise the results of [25] to establish rigorous convergence estimates for families of matrices which depend on an asymptotically small parameter ff (in applications ff is typically a positive power of the mesh size parameter h). These results prove the superiority of ... (Update)
Context of citations to this paper: More
.... to real positive matrices in [25] preconditioned Krylov subspace solvers based on approximating the Schur complement or other methodologies [13, 15, 16, 17, 34, 36, 38, 49]. See also [5, 7, 22, 39, 46, 47] for surveys of existing methods and further references. Of particular...
Cited by: More
Analysis of Preconditioners for Saddle-Point Problems - Loghin, Wathen (Correct)
Preconditioned Iterative Methods for Implicit - Equations Wathen Oxford (Correct)
Augmented Lagrangian Techniques for Solving Saddle Point.. - Greif, Golub, Varah (2004) (Correct)
Active bibliography (related documents): More All
0.6: Iterative Methods for Problems in Computational Fluid.. - Elman, Silvester, Wathen (1996) (Correct)
0.5: The Potential Fluid Flow Problem and the Convergence.. - Maryska, Rozloznik, Tuma (1996) (Correct)
0.5: On the Orthogonality of Residual Polynomials of Minimax Polynomial .. - Jiang (1994) (Correct)
Similar documents based on text: More All
0.4: Minimum Residual Methods For Augmented Systems - Fischer, Ramage, Silvester.. (1995) (Correct)
0.2: On Parameter Choice And Iterative Convergence For.. - Fischer, Ramage.. (1996) (Correct)
0.1: Performance and Analysis of Saddle Point Preconditioners .. - Elman, Silvester, Wathen (2000) (Correct)
Related documents from co-citation: More All
5: Mixed and Hybrid Finite Element Methods (context) - Brezzi, Fortin - 1991
5: A preconditioned iterative method for saddle point problems (context) - Rusten, Winther - 1992
5: Iterative Methods for Solving Linear Systems (context) - Greenbaum - 1997
BibTeX entry: (Update)
A.J. Wathen, B. Fischer, D.J. Silvester. The convergence of iterative solution methods for symmetric and indenite linear systems. in Numerical analysis 1997, D.F. Griths, D.J. Higham and G.A. Watson (eds.), Pitman Research Notes in Mathematics Series 380, Longman, 230242. http://citeseer.ist.psu.edu/wathen97convergence.html More
@misc{ wathen97convergence,
author = "A. Wathen and B. Fischer and D. Silvester",
title = "The convergence of iterative solution methods for symmetric and indenite
linear systems",
text = "A.J. Wathen, B. Fischer, D.J. Silvester. The convergence of iterative solution
methods for symmetric and indenite linear systems. in Numerical analysis
1997, D.F. Griths, D.J. Higham and G.A. Watson (eds.), Pitman Research Notes
in Mathematics Series 380, Longman, 230242.",
year = "1997",
url = "citeseer.ist.psu.edu/wathen97convergence.html" }
Citations (may not include all citations):1120 Handbook of Mathematical functions (context) - Abramowitz, Stegun - 1964
525 Iterative methods for sparse linear systems (context) - Saad - 1996
372 Matrix iterative analysis (context) - Varga - 1962
318 Methods of conjugate gradients for solving linear systems (context) - Hestenes, Stiefel - 1952
263 Iterative solution methods (context) - Axelsson - 1994
161 A course of Modern Analysis (context) - Whittaker, Watson
142 Solution of sparse indefinite systems of linear equations (context) - Paige, Saunders - 1975
140 Finite element solution of boundary value problems: Theory a.. (context) - Axelsson, Barker - 1984
134 Iterative methods for solving linear systems (context) - Greenbaum - 1997
108 Iterative solution of large sparse systems of equations (context) - Hackbusch - 1993
86 A preconditioned iterative method for saddle point problems (context) - Rusten, Winther - 1992
67 Fast iterative solution of stabilised Stokes systems Part I:.. (context) - Wathen, Silvester - 1993
67 Fast iterative solution of stabilised Stokes systems Part II.. (context) - Silvester, Wathen - 1994
51 Finite element methods for viscous incompressible flows: a g.. (context) - Gunzburger - 1989
34 Polynomial based iteration methods for symmetric linear syst.. (context) - Fischer - 1996
34 An optimal preconditioner for a class of saddle point proble.. - Klawonn
27 Multigrid and Krylov subspace methods for the discrete Stoke.. - Elman - 1996
23 From potential theory to matrix iterations in six steps - Driscoll, Toh et al.
22 Approximation of functions: theory and numerical methods (context) - Meinardus - 1967
14 Iterative methods for problems in Computational Fluid Dynami.. - Elman, Silvester et al. - 1997
5 The potential fluid flow problem and the convergence rate of.. - Maryska, Rozlozn'ik et al. - 1996
4 Convergence of preconditioned minimum residual iteration for.. (context) - Wathen, Stephan - 1994
4 Preconditioned mixed spectral element methods for elasticity.. (context) - Pavarino
3 The main effects of rounding errors in Krylov solvers for sy.. - Sleijpen, Van der Vorst et al. - 1997
2 An iteration method for the solution of operator equations w.. (context) - Lebedev - 1969
2 The convergence rate of the minimum residual method for the .. (context) - Wathen, Fischer et al. - 1995
2 Uber einige Funktionen, welche in zwei gegebenen Intervallen.. (context) - Achieser - 1932
1 Preconditioning in H(div) and applications - Arnold, Falk et al. - 1997
The graph only includes citing articles where the year of publication is known.
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC