On preconditioning Schur complement and Schur complement preconditioning.
Zhang, Jun (2000)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Displaying similar documents to “A note on the system of complements of sets sparse at a point”
On preconditioning Schur complement and Schur complement preconditioning.
Preconditioners for least squares problems by LU factorization.
Björck, Åke, Yuan, J.Y. (1999)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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A parallel GMRES version for general sparse matrices.
Erhel, Jocelyne (1995)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Advancing analysis capabilities in ANSYS through solver technology.
Poole, Gene, Liu, Yong-Cheng, Mandel, Jan (2003)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Numerical experiments with parallel orderings for ILU preconditioners.
Benzi, Michele, Joubert, Wayne, Mateescu, Gabriel (1999)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Fast solution of MSC/NASTRAN sparse matrix problems using a multilevel approach.
Thole, C.-A., Mayer, S., Supalov, A. (1997)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Block triangular preconditioners for -matrices and Markov chains.
Benzi, Michele, Uçar, Bora (2007)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Using FGMRES to obtain backward stability in mixed precision.
Arioli, M., Duff, I.S. (2008)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Numerical study of two sparse AMG-methods
Janne Martikainen (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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A sparse algebraic multigrid method is studied as a cheap and accurate way to compute approximations of Schur complements of matrices arising from the discretization of some symmetric and positive definite partial differential operators. The construction of such a multigrid is discussed and numerical experiments are used to verify the properties of the method.
Vaidya's preconditioners: Implementation and experimental study.
Chen, Doron, Toledo, Sivan (2003)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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A new block triangular preconditioner for three-by-three block saddle-point problem
Jun Li, Xiangtuan Xiong (2024)
Applications of Mathematics
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In this paper, to solve the three-by-three block saddle-point problem, a new block triangular (NBT) preconditioner is established, which can effectively avoid the solving difficulty that the coefficient matrices of linear subsystems are Schur complement matrices when the block preconditioner is applied to the Krylov subspace method. Theoretical analysis shows that the iteration method produced by the NBT preconditioner is unconditionally convergent. Besides, some spectral properties...
Retooling the method of block conjugate gradients.
Dubrulle, A.A. (2001)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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On parallel two-stage methods for Hermitian positive definite matrices with applications to preconditioning.
Castel, Jesús M., Migallón, Violeta, Penadés, José (2001)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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