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ShyLU: A Hybrid-Hybrid Solver for Multicore Platforms
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Outgoing claims: the papers this work cites, builds on, or argues with.
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PaStiX: A Parallel Sparse Direct Solver Based on a Static Scheduling for Mixed 1D/2D Block Distributions
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hypre: A Library of High Performance Preconditioners
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Efficient Management of Parallelism in Object-Oriented Numerical Software Libraries
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On Techniques to Improve Robustness and Scalability of a Parallel Hybrid Linear Solver
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A parallel graph partitioning algorithm for a message-passing multiprocessor
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Parallel algebraic hybrid solvers for large 3D convection-diffusion problems
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Parallel hierarchical hybrid linear solvers for emerging computing platforms
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Solving unsymmetric sparse systems of linear equations with PARDISO
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Exploiting thread-level parallelism in the iterative solution of sparse linear systems
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A Parallel Direct/Iterative Solver Based on a Schur Complement Approach
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Parallel hypergraph partitioning for scientific computing
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The Interface Probing Technique in Domain Decomposition
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Distributed-Memory Parallel Algorithms for Distance-2 Coloring and Related Problems in Derivative Computation
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Sparse Cholesky Factorization on a Local-Memory Multiprocessor
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Iterative Methods for Sparse Linear Systems
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An Asynchronous Parallel Supernodal Algorithm for Sparse Gaussian Elimination
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A Scalable Parallel Algorithm for Incomplete Factor Preconditioning
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Distributed Schur Complement Techniques for General Sparse Linear Systems
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An overview of the Trilinos project
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On the design of interfaces to sparse direct solvers
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The university of Florida sparse matrix collection
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Robust algebraic preconditioners using IFPACK 3.0.
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Sparse Approximations of the Schur Complement for Parallel Algebraic Hybrid Solvers in 3D
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Monolithic Multi‐Level Overlapping Schwarz Preconditioners for Fluid Problems
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FROSch: A Fast And Robust Overlapping Schwarz Domain Decomposition Preconditioner Based on Xpetra in Trilinos
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A Three-level Extension of the GDSW Overlapping Schwarz Preconditioner in Three Dimensions
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Resource-Efficient Parallel CG Algorithms for Linear Systems Solving on Heterogeneous Platforms
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Task-Based Sparse Hybrid Linear Solver for Distributed Memory Heterogeneous Architectures
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Hybrid Multi-GPU Solver Based on Schur Complement Method
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Analysis Methods of Irregular High-Rise Buildings Subjected to Seismic Loads
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Parallel subdomain solver strategies for the algebraic additive Schwarz preconditioner
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Basker: Parallel sparse LU factorization utilizing hierarchical parallelism and data layouts
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Direct Methods for Sparse Matrices
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Glossary of Symbols
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Copyright Page
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0001openalex-snapshot
Introduction
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0002openalex-snapshot
Sparse matrices: storage schemes and simple operations
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Gaussian elimination for dense matrices: the algebraic problem
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Gaussian elimination for dense matrices: numerical considerations
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Gaussian elimination for sparse matrices: an introduction
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Reduction to block triangular form
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Local pivotal strategies for sparse matrices
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Ordering sparse matrices for band solution
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Orderings based on dissection
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Implementing Gaussian elimination without symbolic factorize
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Implementing Gaussian elimination with symbolic factorize
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Gaussian elimination using trees
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Graphs for symmetric and unsymmetric matrices
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The solve phase
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Other sparsity-oriented issues
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Matrix and vector norms
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Pictures of sparse matrices
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Solutions to selected exercises
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Preparing sparse solvers for exascale computing
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Energy Analysis of a Solver Stack for Frequency-Domain Electromagnetics
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A Comparison of High-Level Programming Choices for Incomplete Sparse Factorization Across Different Architectures
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Basker: A Threaded Sparse LU Factorization Utilizing Hierarchical Parallelism and Data Layouts
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NICSLU: An Adaptive Sparse Matrix Solver for Parallel Circuit Simulation
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GPU-Accelerated Sparse LU Factorization for Circuit Simulation with Performance Modeling
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Scalable Direct-Iterative Hybrid Solver for Sparse Matrices on Multi-Core and Vector Architectures
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Amesos2 and Belos: Direct and Iterative Solvers for Large Sparse Linear Systems
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Utilisation de la compression low-rank pour réduire la complexité des solveurs creux parallèles basés sur des techniques de factorisation directes.
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