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A Hybrid Parallel Preconditioner Using Incomplete Cholesky Factorization and Sparse Approximate Inversion

2007
We have recently developed a preconditioning scheme that can be viewed as a hybrid of incomplete factorization and sparse approximate inversion methods. This hybrid scheme attempts to deliver the strengths of both types of preconditioning schemes to accelerate the convergence of Conjugate Gradients (CG) on multiprocessors. We provide an overview of our
Keita Teranishi, Padma Raghavan
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On modified incomplete cholesky factorization methods for the solution of problems with mixed boundary conditions and problems with discontinuous material conefficients

International Journal for Numerical Methods in Engineering, 1979
AbstractIn Reference 1 a class of first‐order factorization methods for the solution of large, sparse systems of equations, of which the coefficient matrix is a symmetric M‐matrix, was introduced. Asymptotic results for the computational complexity was proved in the case of systems arising from finite difference approximation of second‐order self ...
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Experiments using incomplete Cholesky factorization preconditioners for saddle-point systems arising in interior-point methods

2014
In the last couple of years there has been renewed interest in using a 3 x 3 block formulation of the symmetric indefinite sparse linear systems that arise from interior-point methods for quadratic optimization. This report presents a comparative study of factorizing the 2 x 2 and 3 x 3 block forms within an interior-point solver.
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Fast kernel k-means clustering using incomplete Cholesky factorization

Applied Mathematics and Computation, 2021
Mingliang Xu, Shuisheng Zhou
exaly  

RCHOL: Randomized Cholesky Factorization for Solving SDD Linear Systems

SIAM Journal of Scientific Computing, 2021
George Biros, Chao Chen
exaly  

Combinative preconditioners for modified incomplete Cholesky factorization and Sherman-Morrison-Woodbury update for self-adjoint elliptic Dirichlet-periodic boundary value problems

2004
From the authors' abstract: For the system of linear equations arising from the discretization of thae second-order self-adjoint elliptic Dirichlet-periodic boundary value problem, by making use of the special structure of the coefficient matrix, we present a class of combinative preconditioners which are technical combinations of a modified incomplete
Bai, Z. Z., Li, G. Q., Lu, L. Z.
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Optimizing Incomplete Cholesky Factorization on MIMD Many-core Architecture

Proceedings of the 54th International Conference on Parallel Processing
Yongzhen Shi   +7 more
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