Výsledky vyhľadávania - "Sparse direct solver"

Batched sparse direct solver design and evaluation in SuperLU_DIST

Autori: Boukaram, Wajih Hong, Yuxi Liu, Yang a ďalší

Zdroj: The International Journal of High Performance Computing Applications. 38(6)

Predmety: Distributed Computing and Systems Software, Information and Computing Sciences, Applied Computing, Graphics processing unit, Batched operations, sparse direct solver, Distributed Computing, Applied computing, Distributed computing and systems software

Popis súboru: application/pdf

Prístupová URL adresa: https://escholarship.org/uc/item/20h717s9
https://escholarship.org/content/qt20h717s9/qt20h717s9.pdf

A graphics processing unit accelerated sparse direct solver and preconditioner with block low rank compression

Autori: Claus, Lisa Ghysels, Pieter Boukaram, Wajih Halim a ďalší

Zdroj: The International Journal of High Performance Computing Applications. 39(1)

Predmety: Information and Computing Sciences, Applied Computing, Computer Vision and Multimedia Computation, Linear solvers, preconditioning, low-rank approximation, sparse direct solver, multifrontal method, Distributed Computing, Applied computing, Distributed computing and systems software

Popis súboru: application/pdf

Prístupová URL adresa: https://escholarship.org/uc/item/7tn9n67r
https://escholarship.org/content/qt7tn9n67r/qt7tn9n67r.pdf

Sparse Approximate Multifrontal Factorization with Composite Compression Methods

Autori: Claus, Lisa Ghysels, Pieter Liu, Yang a ďalší

Zdroj: ACM Transactions on Mathematical Software. 49(3)

Predmety: 4613 Theory Of Computation (for-2020), 4606 Distributed Computing and Systems Software (for-2020), 46 Information and Computing Sciences (for-2020), Sparse direct solver, multifrontal method, butterfly algorithm, block low-rank compression, 0802 Computation Theory and Mathematics (for), 0806 Information Systems (for), Numerical & Computational Mathematics (science-metrix), 4606 Distributed computing and systems software (for-2020), 4613 Theory of computation (for-2020), 4901 Applied mathematics (for-2020)

Popis súboru: application/pdf

Prístupová URL adresa: https://escholarship.org/uc/item/4950t8q9
https://escholarship.org/content/qt4950t8q9/qt4950t8q9.pdf

SlabLU: a two-level sparse direct solver for elliptic PDEs

Autori: Anna Yesypenko Per-Gunnar Martinsson

Zdroj: Advances in Computational Mathematics. 50

Predmety: Finite difference methods for boundary value problems involving PDEs, Numerical Analysis, Random matrices (algebraic aspects), GPU, Numerical methods for low-rank matrix approximation, matrix compression, high-order discretization, Parallel numerical computation, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Numerical solution of discretized equations for boundary value problems involving PDEs, Direct numerical methods for linear systems and matrix inversion, multifrontal solver, 01 natural sciences, Factorization of matrices, direct solver, Computational methods for sparse matrices, Numerical algorithms for specific classes of architectures, Boundary value problems for second-order elliptic equations, sparse direct solver, FOS: Mathematics, Spectral, collocation and related methods for boundary value problems involving PDEs, randomized linear algebra, Helmholtz equation, 0101 mathematics

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2211.07572

Combining Sparse Approximate Factorizations with Mixed-precision Iterative Refinement: Combining sparse approximate factorizations with mixed-precision iterative refinement

Autori: Patrick Amestoy Alfredo Buttari Nicholas J. Higham a ďalší

Prispievatelia: Patrick Amestoy Alfredo Buttari Nicholas J. Higham a ďalší

Zdroj: Amestoy, P, Buttari, A, Higham, N, L’EXCELLENT, JEAN-YVES, Mary, T & VIEUBLÉ, BASTIEN 2022, 'Combining sparse approximate factorizations with mixed precision iterative refinement', ACM Transactions on Mathematical Software.

Predmety: multifrontal method, parallelism, mixed precision, floating-point arithmetic, [INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA], GMRES, 01 natural sciences, rounding error analysis, [INFO.INFO-PF]Computer Science [cs]/Performance [cs.PF], [INFO.INFO-MS] Computer Science [cs]/Mathematical Software [cs.MS], [INFO.INFO-PF] Computer Science [cs]/Performance [cs.PF], preconditioning, [INFO.INFO-NA] Computer Science [cs]/Numerical Analysis [cs.NA], sparse direct solver, iterative refinement, linear system, multiple precision, 0101 mathematics, [INFO.INFO-MS]Computer Science [cs]/Mathematical Software [cs.MS], Numerical analysis

Popis súboru: application/xml; application/pdf

Prístupová URL adresa: https://research.manchester.ac.uk/en/publications/e733e8d1-416e-4ec9-9257-c0811e90874a
https://hal.science/hal-03536031v2
https://doi.org/10.1145/3582493
https://hal.science/hal-03536031v2/document

Comparative Study of Mixed-Precision and Low-Rank Compression Techniques in Sparse Direct Solvers

Autori: Nicolas, Brieuc Faverge, Mathieu Ramet, Pierre a ďalší

Prispievatelia: Nicolas, Brieuc Faverge, Mathieu Ramet, Pierre a ďalší

Predmety: Iterative Refinement, LU Factorization, Mixed Precision, [INFO.INFO-DC] Computer Science [cs]/Distributed, Parallel, and Cluster Computing [cs.DC], Sparse Direct Solver, Cholesky Factorization, Low Rank Compression

Prístupová URL adresa: https://hal.science/hal-04585047v1

Enhancing Sparse Direct Solver Scalability Through Runtime System Automatic Data Partition

Autori: Lisito, Alycia Faverge, Mathieu Pichon, Grégoire a ďalší

Prispievatelia: Lisito, Alycia Faverge, Mathieu Pichon, Grégoire a ďalší

Zdroj: Lecture Notes in Computer Science ISBN: 9783031617621

Predmety: Task scheduling, [INFO.INFO-DC] Computer Science [cs]/Distributed, Parallel, and Cluster Computing [cs.DC], 1. No poverty, Runtime systems, Sparse Direct Solver, Data partitioning

Popis súboru: application/pdf

Prístupová URL adresa: https://inria.hal.science/hal-04527103v1
https://inria.hal.science/hal-04527103v1/document
https://doi.org/10.1007/978-3-031-61763-8_10

Sparse Approximate Multifrontal Factorization with Butterfly Compression for High-Frequency Wave Equations

Autori: Liu, Yang Ghysels, Pieter Claus, Lisa a ďalší

Zdroj: SIAM Journal on Scientific Computing.

Predmety: 4901 Applied Mathematics (for-2020), 4903 Numerical and Computational Mathematics (for-2020), 49 Mathematical Sciences (for-2020), sparse direct solver, multifrontal method, butterfly algorithm, randomized algorithm, high-frequency wave equations, Maxwell equation, Helmholtz equation, Poisson equation, cs.MS, cs.MS, cs.CE, 15A23, 65F50, 65R10, 65R20, 0102 Applied Mathematics (for), 0103 Numerical and Computational Mathematics (for), 0802 Computation Theory and Mathematics (for), Numerical & Computational Mathematics (science-metrix), 4901 Applied mathematics (for-2020), 4903 Numerical and computational mathematics (for-2020)

Popis súboru: application/pdf

Prístupová URL adresa: https://escholarship.org/uc/item/9048w8sk
https://escholarship.org/content/qt9048w8sk/qt9048w8sk.pdf

An overview of SuperLU: Algorithms, implementation, and userinterface

Prispievatelia: Li, Xiaoye

Zdroj: ACM Transactions on Mathematical Software (Special Issue onthe DOE ACTS Collection); 31; 3; Other Information: Journal Publication Date: 10/2005

Popis súboru: Medium: ED

Prístupová URL adresa: http://www.osti.gov/scitech/servlets/purl/860217

Interconnected Hierarchical Structures for Fast Direct Elliptic Solution: Interconnected hierarchical structures for fast direct elliptic solution

Autori: Liu, Xiao Xia, Jianlin de Hoop, Maarten V. a ďalší

Zdroj: Journal of Scientific Computing. 91

Predmety: Complexity and performance of numerical algorithms, neighbor tree, fast sparse direct solver, basis reuse, elliptic equation, Schur complement update, Numerical solution of discretized equations for boundary value problems involving PDEs, 0101 mathematics, Direct numerical methods for linear systems and matrix inversion, interconnected hierarchical structure, 01 natural sciences

Popis súboru: application/xml

Sparse supernodal solver using block low-rank compression: Design, performance and analysis

Autori: Pichon, Grégoire Darve, Eric Faverge, Mathieu a ďalší

Prispievatelia: Pichon, Grégoire Darve, Eric Faverge, Mathieu a ďalší

Zdroj: Journal of Computational Science. 27:255-270

Predmety: Sparse linear solver, PaStiX sparse direct solver, Bblock low-rank compression, [INFO.INFO-DC] Computer Science [cs]/Distributed, Parallel, and Cluster Computing [cs.DC], [INFO] Computer Science [cs], 0101 mathematics, Multi-threaded architectures, 01 natural sciences

Popis súboru: application/pdf

Prístupová URL adresa: https://hal.inria.fr/hal-01824275/file/blr.pdf
https://inria.hal.science/hal-01824275v1
https://doi.org/10.1016/j.jocs.2018.06.007
https://inria.hal.science/hal-01824275v1/document
https://www.sciencedirect.com/science/article/abs/pii/S1877750317314497
https://hal.inria.fr/hal-01824275/document
https://dblp.uni-trier.de/db/journals/jocs/jocs27.html#PichonDFRR18
https://hal.inria.fr/hal-01824275
https://doi.org/10.1016/j.jocs.2018.06.007

Block Low-rank Single Precision Coarse Grid Solvers for Extreme Scale Multigrid Methods

Autori: Buttari, Alfredo Huber, Markus Leleux, Philippe a ďalší

Prispievatelia: Buttari, Alfredo Huber, Markus Leleux, Philippe a ďalší

Zdroj: ISSN: 1070-5325.

Predmety: block low-rank, high-performance computing, hierarchical hybrid grids, multifrontal, geometric multigrid, efficient coarse level solver, sparse direct solver, MUMPS, [INFO.INFO-DC]Computer Science [cs]/Distributed, Parallel, and Cluster Computing [cs.DC], [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]

Dostupnosť: https://hal.science/hal-02528532
https://hal.science/hal-02528532v1/document
https://hal.science/hal-02528532v1/file/paper.pdf
https://doi.org/10.1002/nla.2407

An overview of SuperLU: Algorithms, implementation, and user interface

Autori: Li, Xiaoye S.

Predmety: Engineering, sparse direct solver parallelism high-performance

Popis súboru: application/pdf

Prístupová URL adresa: https://escholarship.org/uc/item/1953j20f
https://escholarship.org/content/qt1953j20f/qt1953j20f.pdf

Analysis, tuning and comparison of two general sparse solvers for distributed memory computers

Prispievatelia: Li, X

Zdroj: Other Information: PBD: 30 Jun 2000

Popis súboru: Medium: ED; Size: vp.

Prístupová URL adresa: http://www.osti.gov/scitech/servlets/purl/776597

Analysis, tuning and comparison of two general sparse solvers for distributed memory computers

Autori: Amestoy, P.R. Duff, I.S. L'Excellent, J.-Y. a ďalší

Predmety: Engineering, sparse direct solver multifrontal supernodal distributed parallel computer MPI

Popis súboru: application/pdf

Prístupová URL adresa: https://escholarship.org/uc/item/7457v5mv
https://escholarship.org/content/qt7457v5mv/qt7457v5mv.pdf

Rank Revealing QR Methods for Sparse Block Low Rank Solvers

Autori: Korkmaz, Esragul Faverge, Mathieu Pichon, Grégoire a ďalší

Prispievatelia: Korkmaz, Esragul Faverge, Mathieu Pichon, Grégoire a ďalší

Predmety: randomized methods, low-rank compression, rank revealing QR, sparse direct solver, [INFO.INFO-DC] Computer Science [cs]/Distributed, Parallel, and Cluster Computing [cs.DC], SVD

Prístupová URL adresa: https://inria.hal.science/hal-02326070v1
https://inria.hal.science/hal-02326084v1

Shared-Memory Parallelism and Low-Rank Approximation Techniques Applied to Direct Solvers in FEM Simulation

Autori: Amestoy, Patrick Buttari, Alfredo Joslin, Guillaume a ďalší

Prispievatelia: Amestoy, Patrick Buttari, Alfredo Joslin, Guillaume a ďalší

Zdroj: IEEE Transactions on Magnetics. 50:517-520

Predmety: Memory Management, FEM Simulation, Calcul parallèle, Parallel Processing, Finite Element Analysis, 02 engineering and technology, 01 natural sciences, ACM: G.: Mathematics of Computing, Electrical Engineering Computing, Induction Heating, 0203 mechanical engineering, 0103 physical sciences, [INFO.INFO-DC] Computer Science [cs]/Distributed, Parallel, and Cluster Computing [cs.DC], distribué et partagé, ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS, Multicore Parallelization, [INFO.INFO-DC]Computer Science [cs]/Distributed, Approximation Theory, Low-Rank Representations, Parallel Sparse Direct Solver, Shared-Memory Parallelism, Linear Systems, ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.3: Numerical Linear Algebra, Electromagnetic Heating, Mathematics Computing, Eddy Currents, Matrix Algebra, Parallel, Large Size, Calcul parallèle, distribué et partagé, Sparse Matrices, and Cluster Computing [cs.DC], Test Matrices, Multiprocessing Systems, FEMs

Popis súboru: application/pdf

Prístupová URL adresa: https://hal.archives-ouvertes.fr/hal-01123557/file/Amestoy_12721.pdf
https://hal.archives-ouvertes.fr/hal-01123557/document
https://hal.archives-ouvertes.fr/hal-01123557
https://oatao.univ-toulouse.fr/12721/
https://hal-univ-tlse2.archives-ouvertes.fr/hal-01123557v1
https://hal.inria.fr/hal-01060297
https://hal-univ-tlse3.archives-ouvertes.fr/hal-01123557v1
https://oatao.univ-toulouse.fr/12721/
https://hdl.handle.net/11577/2837435
https://hdl.handle.net/11577/2835109
https://doi.org/10.1109/TMAG.2013.2284024

Sparse Supernodal Solver exploiting Low-Rankness Property

Autori: Pichon, Grégoire Darve, Eric Faverge, Mathieu a ďalší

Prispievatelia: Pichon, Grégoire Darve, Eric Faverge, Mathieu a ďalší

Zdroj: Sparse Days 2017 ; https://hal.inria.fr/hal-01585622 ; Sparse Days 2017, Sep 2017, Toulouse, France

Predmety: sparse direct solver, low-rank compression, [INFO.INFO-DC]Computer Science [cs]/Distributed, Parallel, and Cluster Computing [cs.DC]

Geografické téma: Toulouse, France

Relation: hal-01585622; https://hal.inria.fr/hal-01585622; https://hal.inria.fr/hal-01585622/document; https://hal.inria.fr/hal-01585622/file/S01E02-Pichon.pdf

Dostupnosť: https://hal.inria.fr/hal-01585622
https://hal.inria.fr/hal-01585622/document
https://hal.inria.fr/hal-01585622/file/S01E02-Pichon.pdf

An overview of SuperLU: Algorithms, implementation, and user interface

Autori: Li, Xiaoye S. USDOE Director. Office of Science. Office of AdvancedScientific Computing Research. Mathematical Information and ComputationalSciences Division National Science Foundation Agreement ACI-9619020 andGrant ACI-9813362

Prispievatelia: Li, Xiaoye S. USDOE Director. Office of Science. Office of AdvancedScientific Computing Research. Mathematical Information and ComputationalSciences Division National Science Foundation Agreement ACI-9619020 andGrant ACI-9813362

Zdroj: ACM Transactions on Mathematical Software. 31:302-325

Predmety: sparse direct solver parallelism high-performance, Engineering, 0103 physical sciences, Sparse Direct Solver Parallelism High-Performance, 0101 mathematics, 01 natural sciences, 42 Sparse Direct Solver Parallelism High-Performance

Popis súboru: application/pdf; Text

Prístupová URL adresa: https://dialnet.unirioja.es/servlet/articulo?codigo=1324495
https://escholarship.org/uc/item/1953j20f
https://escholarship.org/content/qt1953j20f/qt1953j20f.pdf
https://dl.acm.org/doi/10.1145/1089014.1089017
https://doi.acm.org/10.1145/1089014.1089017
https://dl.acm.org/citation.cfm?id=1089017
https://escholarship.org/uc/item/1953j20f

Exploiting a Parametrized Task Graph model for the parallelization of a sparse direct multifrontal solver

Autori: Agullo, Emmanuel Bosilca, George Buttari, Alfredo a ďalší

Prispievatelia: Agullo, Emmanuel Bosilca, George Buttari, Alfredo a ďalší

Zdroj: Euro-Par 2016: Parallel Processing Workshops ; https://hal.science/hal-01337748 ; Euro-Par 2016: Parallel Processing Workshops, Aug 2016, Grenoble, France. ⟨10.1007/978-3-319-58943-5_14⟩

Predmety: multicore architectures, programming models, numerical scientific library, sparse direct solver, multifrontal QR factorization, runtime sys-tem, parametrized task graph, [INFO.INFO-DC]Computer Science [cs]/Distributed, Parallel, and Cluster Computing [cs.DC], [INFO.INFO-MS]Computer Science [cs]/Mathematical Software [cs.MS]

Geografické téma: Grenoble, France

Dostupnosť: https://hal.science/hal-01337748
https://hal.science/hal-01337748v1/document
https://hal.science/hal-01337748v1/file/iwmse16_round1.pdf
https://doi.org/10.1007/978-3-319-58943-5_14