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Generalized minimal residual method
Known as:
Gmres
, Minimal residual method
, Residual
In mathematics, the generalized minimal residual method (usually abbreviated GMRES) is an iterative method for the numerical solution of a…
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Related topics
Related topics
25 relations
Arnoldi iteration
Biconjugate gradient method
Biconjugate gradient stabilized method
Chebyshev iteration
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Broader (1)
Numerical linear algebra
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2015
2015
Numerical Implementations of the Generalized Minimal Residual Method (GMRES)
Ivo Dravins
2015
Corpus ID: 124446490
The generalized minimal residual method (GMRES) is an iterative method used to find numerical solutions to non-symmetric linear…
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2010
2010
A Class of New Preconditioners for Linear Solvers Used in Power System Time-Domain Simulation
S. Khaitan
,
J. McCalley
IEEE Transactions on Power Systems
2010
Corpus ID: 688188
In this paper, a new class of preconditioners for iterative methods is proposed for the solution of linear equations that arise…
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2002
2002
A message-passing distributed-memory Newton-GMRES parallel power flow algorithm
Feng Tu
,
A. Flueck
IEEE Power Engineering Society Summer Meeting,
2002
Corpus ID: 15440003
This paper presents a parallel Newton-GMRES (generalised minimal residual) power flow solution algorithm based on a message…
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Highly Cited
2001
Highly Cited
2001
On Three-Grid Fourier Analysis for Multigrid
Roman Wienands
,
C. Oosterlee
SIAM Journal on Scientific Computing
2001
Corpus ID: 9015111
In this paper, we present three-grid Fourier analysis for multigrid methods. Due to the recursive structure of a multigrid…
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Highly Cited
1999
Highly Cited
1999
Comparison of Partitioning Techniques for Two-Level Iterative Solvers on Large, Sparse Markov Chains
T. Dayar
,
W. Stewart
SIAM Journal on Scientific Computing
1999
Corpus ID: 5854212
Experimental results for large, sparse Markov chains, especially the ill-conditioned nearly completely decomposable (NCD) ones…
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Highly Cited
1998
Highly Cited
1998
Accelerated Inexact Newton Schemes for Large Systems of Nonlinear Equations
D. R. Fokkema
,
G. Sleijpen
,
H. A. Vorst
SIAM Journal on Scientific Computing
1998
Corpus ID: 5874757
Classical iteration methods for linear systems, such as Jacobi iteration, can be accelerated considerably by Krylov subspace…
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1997
1997
A fast solver for the Euler equations on unstructured grids using a Newton-GMRES method
M. Blanco
,
D. Zingg
1997
Corpus ID: 14852796
This paper discusses the use of two variations on Newton's method, quasi-Newton and full-Newton, for the solution of the Euler…
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1996
1996
A Parallel Version of the Unsymmetric Lanczos Algorithm and its Application to QMR
H. M. Bücker
,
M. Sauren
1996
Corpus ID: 14402254
A new version of the unsymmetric Lanczos algorithm without l ok-ahead is described combining elements of numerical stability and…
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1996
1996
A Parallel Version of the Quasi-Minimal Residual Method, Based on Coupled Two-Term Recurrences
H. M. Bücker
,
M. Sauren
Workshop on Applied Parallel Computin
1996
Corpus ID: 18365857
For the solution of linear systems of equations with unsymmetric coefficient matrix, Freund and Nachtigal (SIAM J. Sci. Comput…
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Highly Cited
1994
Highly Cited
1994
Parallel implicit unstructured grid Euler solvers
V. Venkatakrishnan
1994
Corpus ID: 514788
A mesh-vertex finite volume scheme for solving the Euler equations on triangular unstructured meshes is implemented on a multiple…
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