Performance impact of precision reduction in sparse linear systems solvers. [PDF]
PeerJ Comput Sci, 2022 Zounon M, Higham NJ, Lucas C, Tisseur F.
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Efficient Regularized Field Map Estimation in 3D MRI. [PDF]
IEEE Trans Comput Imaging, 2020 Lin CY, Fessler JA.
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A robust incomplete factorization preconditioner for positive definite matrices
, 2003 We describe a novel technique for computing a sparse incomplete factorization of a general symmetric positive definite matrix A. The factorization is not based on the Cholesky algorithm (or Gaussian elimination), but on A-orthogonalization.
Tůma, Miroslav +3 more
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An incomplete factorization technique for positive definite linear systems
, 1980 This paper describes a technique for solving the large sparse symmetric linear systems that arise from the application of finite element methods.
T. A. Manteuffel
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Resolução de sistemas lineares gerados na discretização das equções de Navier-Stokes em malhas de voronoi [PDF]
, 1997 Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro TecnologicoEsta dissertação descreve, analisa e implementa métodos iterativos da família do Gradiente Conjugado (GC), na solução de sistemas lineares resultantes da discretização das
Mariani, Viviana Cocco
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Hearing the shape of a drum for light: isospectrality in photonics. [PDF]
Nanophotonics, 2022 Park S, Lee I, Kim J, Park N, Yu S.
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Mesh-free high-resolution simulation of cerebrocortical oxygen supply with fast Fourier preconditioning. [PDF]
Int J Numer Method Biomed Eng, 2023 Ventimiglia T, Linninger AA.
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An incomplete generalized Cholesky factorization preconditioner for a saddle-point matrix.
, 2013 Доказано существование неполного обобщенного разложения Холесского седловой матрицы. Разложение использовано для построения предобуславливателя системы уравнений с седловой матрицей.
Иванищева, И. Н. +5 more
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Hierarchical algorithms on hierarchical architectures. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 Keyes DE, Ltaief H, Turkiyyah G.
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Factorisation parall`ele de Cholesky pour matrices creuses sur une m'emoire virtuelle partag'ee
, 1993 : pto) Centre National de la Recherche Scientifique Institut National de Recherche en Informatique (URA 227) Universit e de Rennes 1 -- Insa de Rennes et en Automatique -- unit e de recherche de Rennes Parallel sparse Cholesky factorization on a shared ...
Jocelyne Erhel, Ele De Cholesky
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