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… (More)
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Related topics

Related topics

24 relations
Arnoldi iterationBiconjugate gradient methodBiconjugate gradient stabilized methodChebyshev iteration
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Broader (1)

Numerical linear algebra

Papers overview

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Review
2016
Review
2016
The upper and lower bounds for generalized minimal residual method on a tridiagonal Toeplitz linear system
Disclaimer: This is a version of an unedited manuscript that has been accepted for publication. As a service to authors and… (More)
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2013
2013
Orthogonal polynomials of the R-linear generalized minimal residual method
The speed of convergence of the R-linear GMRES method is bounded in terms of a polynomial approximation problem on a finite… (More)
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2012
2012
MPGMRES : A GENERALIZED MINIMUM RESIDUAL METHOD WITH MULTIPLE PRECONDITIONERS
Standard Krylov subspace methods only allow the user to choose a single preconditioner, although in many situations there may be… (More)
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Highly Cited
2003
Highly Cited
2003
A new mixed finite element method for computing viscoelastic flows
A new mixed finite element method for computing viscoelastic flows is presented. The mixed formulation is based on the… (More)
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2002
2002
Least Squares Residuals and Minimal Residual Methods
We study Krylov subspace methods for solving unsymmetric linear algebraic systems that minimize the norm of the residual at each… (More)
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2001
2001
FQMR: A Flexible Quasi-Minimal Residual Method with Inexact Preconditioning
A flexible version of the QMR algorithm is presented which allows for the use of a different preconditioner at each step of the… (More)
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1999
1999
Preconditioned Generalized Minimal Residual Iterative Scheme for Perfectly Matched Layer Terminated Applications
The anisotropic and active properties of the perfectly matched layer (PML) absorbers significantly deteriorate the finite-element… (More)
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1996
1996
Minimal Residual Method Stronger than Polynomial Preconditioning
This paper compares the convergence behavior of two popular iterative methods for solving systems of linear equations: the s-step… (More)
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1994
1994
On Igmres(q): Incomplete Generalized Minimal Residual Methods for Large Unsymmetric Linear Systems
  • Zhongxiao Jiay
  • 1994
In this paper, we analyze in detail incomplete generalized minimal residual methods (IGMRES(q)), proposed by Brown et al., for… (More)
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Highly Cited
1987
Highly Cited
1987
Templates for the solution of linear systems: building blocks for iterative methods
This work was supported in part by DARPA and ARO under contract number DAAL C the National Science Foundation Science and… (More)
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