Results 131 to 140 of about 510,427 (158)
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An optimized computer implementation of incomplete Cholesky factorization
Computing Systems in Engineering, 1994Abstract Preconditioning techniques based on incomplete Cholesky factorization are very efficient in increasing the convergence rates of basic iterative methods. Complicated addressings and high demands for auxiliary storage, or increased factorization time, have reduced their appeal as general purpose preconditioners.
N. Bitoulas, M. Papadrakakis
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Using incomplete Cholesky factorization to increase the time step in molecular dynamics simulations
Journal of Computational and Applied Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Takumi Washio +7 more
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ACM Transactions on Mathematical Software, 2014
This article focuses on the design and development of a new robust and efficient general-purpose incomplete Cholesky factorization package HSL_MI28, which is available within the HSL mathematical software library. It implements a limited memory approach that exploits ideas from the positive semidefinite Tismenetsky-Kaporin modification scheme and ...
Jennifer Scott, Miroslav Tūma
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This article focuses on the design and development of a new robust and efficient general-purpose incomplete Cholesky factorization package HSL_MI28, which is available within the HSL mathematical software library. It implements a limited memory approach that exploits ideas from the positive semidefinite Tismenetsky-Kaporin modification scheme and ...
Jennifer Scott, Miroslav Tūma
exaly +3 more sources
A latency tolerant hybrid sparse solver using incomplete Cholesky factorization
Numerical Linear Algebra With Applications, 2003AbstractConsider the solution of large sparse symmetric positive definite linear systems using the preconditioned conjugate gradient method. On sequential architectures, incomplete Cholesky factorizations provide effective preconditioning for systems from a variety of application domains, some of which may have widely differing preconditioning ...
Padma Raghavan +2 more
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Computer Physics Communications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ting-Zhu Huang +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ting-Zhu Huang +2 more
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Incomplete Cholesky Factorization in Fixed Memory
2004We propose an incomplete Cholesky factorization for the solution of large positive definite systems of equations and for the solution of large-scale trust region sub problems. The factorization proposed essentially reduces the negative processes of irregular distribution and accumulation of errors in factor matrix and provides the optimal rate of ...
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Numerical Linear Algebra with Applications, 2011
SUMMARYAn incomplete Cholesky (IC) factorization with multi‐parameters is presented. The marked virtue of the proposed IC factorization algorithm is to dynamically control the number of nonzero elements in each column of the IC factorization preconditioner L with the help of these involved parameters.
Yong Zhang 0048 +3 more
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SUMMARYAn incomplete Cholesky (IC) factorization with multi‐parameters is presented. The marked virtue of the proposed IC factorization algorithm is to dynamically control the number of nonzero elements in each column of the IC factorization preconditioner L with the help of these involved parameters.
Yong Zhang 0048 +3 more
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Journal of Electromagnetic Waves and Applications, 2009
The symmetric linear biconjugate gradient (S-LBCG) iterative algorithm combined with modified relaxed incomplete Cholesky (RIC) preconditioner is proposed for solving large sparse complex symmetric and highly indefinite systems, which results from the use of edge-based finite-element method (FEM) on the analysis of electromagnetic problems.
Y. H. Li, Z. P. Nie, X. Y. Sun
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The symmetric linear biconjugate gradient (S-LBCG) iterative algorithm combined with modified relaxed incomplete Cholesky (RIC) preconditioner is proposed for solving large sparse complex symmetric and highly indefinite systems, which results from the use of edge-based finite-element method (FEM) on the analysis of electromagnetic problems.
Y. H. Li, Z. P. Nie, X. Y. Sun
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International Journal of Infrared and Millimeter Waves, 2003
The Incomplete Cholesky factorizations preconditioning scheme is applied to the conjugate gradient (CG) method for solving a large system of linear equations resulting from finite element method (FEM) analysis of millimeter wave filters. As is well known, the convergence of CG method deteriorates with increasing EM wave number and in millimeter wave ...
R. S. Chen, X. W. Ping, K. F. Tsang
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The Incomplete Cholesky factorizations preconditioning scheme is applied to the conjugate gradient (CG) method for solving a large system of linear equations resulting from finite element method (FEM) analysis of millimeter wave filters. As is well known, the convergence of CG method deteriorates with increasing EM wave number and in millimeter wave ...
R. S. Chen, X. W. Ping, K. F. Tsang
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A Blockwise Algorithm for Parallel Incomplete Cholesky Factorization
2004Solving large sparse linear systems by iterative methods has often been quite unsatisfactory when dealing with pratical "industrial" problems. The main difficulty encountered by such methods is their lack of robustness and, generally, the unpredictability and unconsistency of their performance over a wide sample of different problems; certain methods ...
Hénon, Pascal +2 more
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