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International Journal of Computer Mathematics Volume 60, 1996 - Issue 1-2
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Original Articles

The rate of convergence of explicit approximate inverse preconditioning

George A. Gravvanis 4 Livathous, Athens, GR, 11362, Greece
Pages 77-89 | Published online: 19 Mar 2007

Citations (28)

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Read on this site (3)

G.A. Gravvanis, K.M. Giannoutakis & N.M. Missirlis . (2004) A Distributed Normalized Explicit Preconditioned Conjugate Gradient Method. Parallel Algorithms and Applications 19:2-3, pages 163-174.
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George A. Gravvanis. (2000) Explicit isomorphic iterative methods for solving arrow-type linear systems. International Journal of Computer Mathematics 74:2, pages 195-205.
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GeorgeA. Gravvanis. (1998) An approximate inverse matrix technique for arrowhead matrices. International Journal of Computer Mathematics 70:1, pages 35-45.
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Articles from other publishers (25)

A. D. Lipitakis, G. A. Gravvanis, C. K. Filelis-Papadopoulos & D. Anagnostopoulos. 2021. Advances in Parallel & Distributed Processing, and Applications. Advances in Parallel & Distributed Processing, and Applications 275 291 .
C. K. Filelis-Papadopoulos, G. A. Gravvanis & E. A. Lipitakis. (2016) A note on the convergence rate of a class of Approximate Sparse Inverse Matrix Methods. A note on the convergence rate of a class of Approximate Sparse Inverse Matrix Methods.
Christos K. Filelis-Papadopoulos & George A. Gravvanis. (2016) A class of generic factored and multi-level recursive approximate inverse techniques for solving general sparse systems. Engineering Computations 33:1, pages 74-99.
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P. E. Kyziropoulos, C. K. Filelis-Papadopoulos & G. A. Gravvanis. (2015) Parallel N -Body Simulation Based on the PM and P3M Methods Using Multigrid Schemes in conjunction with Generic Approximate Sparse Inverses . Mathematical Problems in Engineering 2015, pages 1-12.
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CHRISTOS K. FILELIS-PAPADOPOULOS & GEORGE A. GRAVVANIS. (2014) GENERIC APPROXIMATE SPARSE INVERSE MATRIX TECHNIQUES. International Journal of Computational Methods 11:06, pages 1350084.
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G. A. Gravvanis & C. K. Filelis-Papadopoulos. (2014) Geometric multigrid methods based on Generic Approximate Sparse Inverses. Geometric multigrid methods based on Generic Approximate Sparse Inverses.
George A. Gravvanis & Christos K. Filelis-Papadopoulos. (2014) On the multigrid cycle strategy with approximate inverse smoothing. Engineering Computations 31:1, pages 110-122.
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Christos K. Filelis-Papadopoulos & George A. Gravvanis. (2013) Parallel multigrid algorithms based on generic approximate sparse inverses: an SMP approach. The Journal of Supercomputing 67:2, pages 384-407.
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G. A. GRAVVANIS, C. K. FILELIS-PAPADOPOULOS, K. M. GIANNOUTAKIS & E. A. LIPITAKIS. (2013) A NOTE ON PARALLEL FINITE DIFFERENCE APPROXIMATE INVERSE PRECONDITIONING ON MULTICORE SYSTEMS USING POSIX THREADS. International Journal of Computational Methods 10:05, pages 1350032.
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G. A. Gravvanis, C. K. Filelis-Papadopoulos & E. A. Lipitakis. (2013) On numerical modeling performance of generalized preconditioned methods. On numerical modeling performance of generalized preconditioned methods.
G.A. Gravvanis, C.K. Filelis-Papadopoulos & E.A. Lipitakis. (2012) A Note on the Comparison of a Class of Preconditioned Iterative Methods. A Note on the Comparison of a Class of Preconditioned Iterative Methods.
G.A. Gravvanis, P.I. Matskanidis, K.M. Giannoutakis & E.A. Lipitakis. (2012) On the design and implementation of parallel finite element approximate inverses using POSIX threads on multicore systems. Engineering Computations 29:3, pages 338-354.
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P.I. Matskanidis, G.A. Gravvanis & K.M. Giannoutakis. (2011) A Note on Parallel Finite Element Approximate Inverses Using OpenMP on Multicore Systems. A Note on Parallel Finite Element Approximate Inverses Using OpenMP on Multicore Systems.
C.K. Filelis-Papadopoulos, G.A. Gravvanis, P.I. Matskanidis & K.M. Giannoutakis. (2011) On the GPGPU parallelization issues of finite element approximate inverse preconditioning. Journal of Computational and Applied Mathematics 236:3, pages 294-307.
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George A. Gravvanis. (2008) High Performance Inverse Preconditioning. Archives of Computational Methods in Engineering 16:1, pages 77-108.
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George A. Gravvanis & Konstantinos M. Giannoutakis. (2006) Normalized explicit approximate inverse preconditioning for solving 3D boundary value problems on uniprocessor and distributed systems. International Journal for Numerical Methods in Engineering 65:1, pages 84-110.
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G.A. Gravvanis & K.M. Giannoutakis. (2004) Parallel Approximate Finite Element Inverse Preconditioning on Distributed Systems. Parallel Approximate Finite Element Inverse Preconditioning on Distributed Systems.
G.A. Gravvanis. (2003) Explicit preconditioned domain decomposition schemes for solving nonlinear boundary value problems. Computers & Mathematics with Applications 45:1-3, pages 263-272.
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George A. Gravvanis & Konstantinos M. Giannoutakis. 2003. Computational Fluid and Solid Mechanics 2003. Computational Fluid and Solid Mechanics 2003 1963 1967 .
George A. Gravvanis & Konstantinos M. Giannoutakis. 2003. Computational Fluid and Solid Mechanics 2003. Computational Fluid and Solid Mechanics 2003 1958 1962 .
G. A. Gravvanis. (2002) Explicit approximate inverse preconditioning techniques. Archives of Computational Methods in Engineering 9:4, pages 371-402.
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George A. Gravvanis. 2001. Computational Fluid and Solid Mechanics. Computational Fluid and Solid Mechanics 1586 1589 .
George A. Gravvanis. (2000) Explicit preconditioned conjugate gradient schemes for solving biharmonic equations. Engineering Computations 17:2, pages 154-165.
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Gh. Juncu. (1999) Preconditioning by approximations of the discrete Laplacian for 2‐D non‐linear free convection elliptic equations. International Journal of Numerical Methods for Heat & Fluid Flow 9:5, pages 586-600.
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George A. Gravvanis. (1999) Approximate inverse banded matrix techniques. Engineering Computations 16:3, pages 337-366.
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