Suchergebnisse - "Sparse matrix algorithms"
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Exactly Solving Sparse Rational Linear Systems via Roundoff-Error-Free Cholesky Factorizations
ISSN: 0895-4798, 1095-7162Veröffentlicht: 01.01.2022Veröffentlicht in SIAM journal on matrix analysis and applications (01.01.2022)Volltext
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Exact Solution of Sparse Linear Systems via Left-Looking Roundoff-Error-Free LU Factorization in Time Proportional to Arithmetic Work
ISSN: 0895-4798, 1095-7162Veröffentlicht: 01.01.2019Veröffentlicht in SIAM journal on matrix analysis and applications (01.01.2019)Volltext
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Multilevelk-way Partitioning Scheme for Irregular Graphs
ISSN: 0743-7315, 1096-0848Veröffentlicht: Elsevier Inc 10.01.1998Veröffentlicht in Journal of parallel and distributed computing (10.01.1998)“… In this paper, we present and study a class of graph partitioning algorithms that reduces the size of the graph by collapsing vertices and edges, we find …”
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Parallelization and scalability analysis of inverse factorization using the chunks and tasks programming model
ISSN: 0167-8191, 1872-7336, 1872-7336Veröffentlicht: Elsevier B.V 01.11.2019Veröffentlicht in Parallel computing (01.11.2019)“… •All the three considered algorithms scale linearly with system size.•The critical path lengths influence the weak scaling of the algorithms.•Localized inverse …”
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Efficient Uncertainty Analysis of External Heat Flux of Solar Radiation with External Heat Flux Expansion for Spacecraft Thermal Design
ISSN: 2226-4310, 2226-4310Veröffentlicht: Basel MDPI AG 01.08.2023Veröffentlicht in Aerospace (01.08.2023)“… Designing spacecraft involves a careful equilibrium to avoid overengineering or underdesigning, which underscores the importance of employing thermal …”
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A Supernodal Approach to Sparse Partial Pivoting
ISSN: 0895-4798, 1095-7162Veröffentlicht: Philadelphia Society for Industrial and Applied Mathematics 1999Veröffentlicht in SIAM journal on matrix analysis and applications (1999)“… We investigate several ways to improve the performance of sparse LU factorization with partial pivoting, as used to solve unsymmetric linear systems. We …”
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Exploiting Spatial Information in Datasets to Enable Fault Tolerant Sparse Matrix Solvers
ISSN: 1552-5244Veröffentlicht: IEEE 01.09.2015Veröffentlicht in Proceedings / IEEE International Conference on Cluster Computing (01.09.2015)“… High-performance computing (HPC) systems continue to increase in size in the quest for ever higher performance. The resulting increased electronic component …”
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Fast algorithms for placing large entries along the diagonal of a sparse matrix
ISSN: 0377-0427, 1879-1778Veröffentlicht: Kidlington Elsevier B.V 01.12.2010Veröffentlicht in Journal of computational and applied mathematics (01.12.2010)“… Solving a sparse system of linear equations A x = b is one of the most fundamental operations inside any circuit simulator. The equations/rows in the matrix A …”
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Balancing sparse matrices for computing eigenvalues
ISSN: 0024-3795, 1873-1856Veröffentlicht: Elsevier Inc 15.04.2000Veröffentlicht in Linear algebra and its applications (15.04.2000)“… Applying a permuted diagonal similarity transform DPAP T D −1 to a matrix A before calculating its eigenvalues can improve the speed and accuracy with which …”
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Parallel Multilevel k-way Partitioning Scheme for Irregular Graphs
ISBN: 0897918541, 9780897918541Veröffentlicht: IEEE 1996Veröffentlicht in Supercomputing '96 conference proceedings : the International Conference on High Performance Computing and Communications : November 17-22, 1996, Pittsburgh, PA (1996)“… In this paper we present a parallel formulation of a multilevel k-way graph partitioning algorithm. The multilevel k-way partitioning algorithm reduces the …”
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