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Numerical Functional Analysis and Optimization Volume 24, 2003 - Issue 5-6
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Original Articles

Symmetric Part Preconditioning for the Conjugate Gradient Method in Hilbert Space

O. Axelsson Department of Mathematics, University of Nijmegen, Nijmegen, The NetherlandsCorrespondence[email protected]
&
J. Karátson Department of Applied Analysis, ELTE University, Budapest, Hungary
Pages 455-474 | Published online: 31 Aug 2006

Citations (15)

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Read on this site (3)

J. Karátson. (2008) Superlinear PCG Algorithms: Symmetric Part Preconditioning and Boundary Conditions. Numerical Functional Analysis and Optimization 29:5-6, pages 590-611.
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J. Karátson. (2007) On the Superlinear Convergence Rate of the Preconditioned CGM for Some Nonsymmetric Elliptic Problems. Numerical Functional Analysis and Optimization 28:9-10, pages 1153-1164.
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O. Axelsson & J. Karátson. (2007) Symmetric Part Preconditioning of the CG Method for Stokes Type Saddle-Point Systems. Numerical Functional Analysis and Optimization 28:9-10, pages 1027-1049.
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Articles from other publishers (12)

John W. Pearson & Jennifer Pestana. (2020) Preconditioners for Krylov subspace methods: An overview. GAMM-Mitteilungen 43:4.
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Davide Palitta & Valeria Simoncini. (2015) Matrix-equation-based strategies for convection–diffusion equations. BIT Numerical Mathematics 56:2, pages 751-776.
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Owe Axelsson, János Karátson & Balázs Kovács. (2014) Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré--Friedrichs Inequality. SIAM Journal on Numerical Analysis 52:6, pages 2957-2976.
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Tamás Kurics. (2010) Equivalent operator preconditioning for elliptic problems with nonhomogeneous mixed boundary conditions. Journal of Computational and Applied Mathematics 235:2, pages 437-449.
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Robert C. Kirby. (2010) From Functional Analysis to Iterative Methods. SIAM Review 52:2, pages 269-293.
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O. Axelsson & J. Karátson. (2008) Equivalent operator preconditioning for elliptic problems. Numerical Algorithms 50:3, pages 297-380.
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Tamás Kurics. (2008) On the superlinear convergence of PCG algorithms: Numerical experiments for convection-diffusion equations. Computers & Mathematics with Applications 55:10, pages 2318-2328.
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J. Karátson & T. Kurics. (2008) Superlinearly convergent PCG algorithms for some nonsymmetric elliptic systems. Journal of Computational and Applied Mathematics 212:2, pages 214-230.
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Owe Axelsson & János Karátson. (2007) Mesh Independent Superlinear PCG Rates Via Compact-Equivalent Operators. SIAM Journal on Numerical Analysis 45:4, pages 1495-1516.
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János Karátson, Tamás Kurics & Ivan Lirkov. 2007. Numerical Methods and Applications. Numerical Methods and Applications 65 73 .
Tamás Kurics. 2006. Large-Scale Scientific Computing. Large-Scale Scientific Computing 679 686 .
O. Axelsson & J. Kar�tson. (2004) Superlinearly convergent CG methods via equivalent preconditioning for nonsymmetric elliptic operators. Numerische Mathematik 99:2, pages 197-223.
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