Gaussian Belief Propagation Solvers for Nonsymmetric Systems of Linear Equations

SIAM Journal on Scientific Computing ◽

10.1137/19m1275139 ◽

2022 ◽

Vol 44 (1) ◽

pp. A77-A102

Author(s):

Vladimir Fanaskov

Keyword(s):

Belief Propagation ◽

Linear Equations ◽

Systems Of Linear Equations ◽

Nonsymmetric Systems

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A Lanczos Method for a Class of Nonsymmetric Systems of Linear Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0715053 ◽

1978 ◽

Vol 15 (4) ◽

pp. 801-812 ◽

Author(s):

Olof Widlund

Keyword(s):

Linear Equations ◽

Lanczos Method ◽

Systems Of Linear Equations ◽

Nonsymmetric Systems

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On hybrid iterative methods for nonsymmetric systems of linear equations

Numerische Mathematik ◽

10.1007/s002110050202 ◽

1996 ◽

Vol 73 (4) ◽

pp. 489-506 ◽

Author(s):

Thomas A. Manteuffel ◽

Gerhard Starke

Keyword(s):

Iterative Methods ◽

Linear Equations ◽

Systems Of Linear Equations ◽

Hybrid Iterative Methods ◽

Nonsymmetric Systems

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Variational Iterative Methods for Nonsymmetric Systems of Linear Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0720023 ◽

1983 ◽

Vol 20 (2) ◽

pp. 345-357 ◽

Author(s):

Stanley C. Eisenstat ◽

Howard C. Elman ◽

Martin H. Schultz

Keyword(s):

Iterative Methods ◽

Linear Equations ◽

Systems Of Linear Equations ◽

Nonsymmetric Systems

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Alternating Direction Preconditioning for Nonsymmetric Systems of Linear Equations

SIAM Journal on Scientific Computing ◽

10.1137/0915026 ◽

1994 ◽

Vol 15 (2) ◽

pp. 369-384 ◽

Author(s):

Gerhard Starke

Keyword(s):

Linear Equations ◽

Alternating Direction ◽

Systems Of Linear Equations ◽

Nonsymmetric Systems

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A Hybrid Chebyshev Krylov Subspace Algorithm for Solving Nonsymmetric Systems of Linear Equations

SIAM Journal on Scientific and Statistical Computing ◽

10.1137/0907057 ◽

1986 ◽

Vol 7 (3) ◽

pp. 840-855 ◽

Author(s):

Howard C. Elman ◽

Youcef Saad ◽

Paul E. Saylor

Keyword(s):

Krylov Subspace ◽

Linear Equations ◽

Subspace Algorithm ◽

Systems Of Linear Equations ◽

Nonsymmetric Systems

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A parallel implementation of the restarted GMRES iterative algorithm for nonsymmetric systems of linear equations

Advances in Computational Mathematics ◽

10.1007/bf02521112 ◽

1994 ◽

Vol 2 (3) ◽

pp. 261-277 ◽

Author(s):

Rudnei Dias da Cunha ◽

Tim Hopkins

Keyword(s):

Iterative Algorithm ◽

Parallel Implementation ◽

Linear Equations ◽

Restarted Gmres ◽

Systems Of Linear Equations ◽

Nonsymmetric Systems

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A hybrid Arnoldi-Faber iterative method for nonsymmetric systems of linear equations

Numerische Mathematik ◽

10.1007/bf01388688 ◽

1993 ◽

Vol 64 (1) ◽

pp. 213-240 ◽

Author(s):

Gerhard Starke ◽

Richard S. Varga

Keyword(s):

Iterative Method ◽

Linear Equations ◽

Systems Of Linear Equations ◽

Nonsymmetric Systems

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Gaussian belief propagation solver for systems of linear equations

2008 IEEE International Symposium on Information Theory ◽

10.1109/isit.2008.4595311 ◽

2008 ◽

Author(s):

Ori Shental ◽

Paul H. Siegel ◽

Jack K. Wolf ◽

Danny Bickson ◽

Danny Dolev

Keyword(s):

Belief Propagation ◽

Linear Equations ◽

Systems Of Linear Equations

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IDR(s): A Family of Simple and Fast Algorithms for Solving Large Nonsymmetric Systems of Linear Equations

SIAM Journal on Scientific Computing ◽

10.1137/070685804 ◽

2009 ◽

Vol 31 (2) ◽

pp. 1035-1062 ◽

Author(s):

Peter Sonneveld ◽

Martin B. van Gijzen

Keyword(s):

Linear Equations ◽

Fast Algorithms ◽

Systems Of Linear Equations ◽

Nonsymmetric Systems

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Optimal Alternating Direction Implicit Parameters for Nonsymmetric Systems of Linear Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0728074 ◽

1991 ◽

Vol 28 (5) ◽

pp. 1431-1445 ◽

Author(s):

Gerhard Starke

Keyword(s):

Linear Equations ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Systems Of Linear Equations ◽

Nonsymmetric Systems

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