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On Computing Inverse Entries of a Sparse Matrix in an Out-of-Core Environment

https://doi.org/10.1137/100799411
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Outgoing claims: the papers this work cites, builds on, or argues with.

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A probing method for computing the diagonal of a matrix inverse
inferredcites →https://doi.org/10.1002/nme.1620191009openalex-snapshot
On computing the inverse of a sparse matrix
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Combinatorial Algorithms for Integrated Circuit Layout
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Task scheduling for parallel sparse Cholesky factorization
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Benchmarking optimization software with performance profiles
inferredcites →https://doi.org/10.1016/j.jcp.2008.06.033openalex-snapshot
Computing entries of the inverse of a sparse matrix using the FIND algorithm
inferredcites →https://doi.org/10.1016/j.parco.2005.07.004openalex-snapshot
Hybrid scheduling for the parallel solution of linear systems
inferredcites →https://doi.org/10.1016/j.parco.2009.06.001openalex-snapshot
Analysis of the solution phase of a parallel multifrontal approach
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A scalable distributed method for quantum-scale device simulation
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INTEGRAL SPI Observation of the Galactic Central Radian: Contribution of Discrete Sources and Implication for the Diffuse Emission
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Atomistic simulation of nanowires in the sp3d5s* tight-binding formalism: From boundary conditions to strain calculations
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Hypergraph-partitioning-based decomposition for parallel sparse-matrix vector multiplication
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Revisiting Hypergraph Models for Sparse Matrix Partitioning
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The Role of Elimination Trees in Sparse Factorization
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Elimination Structures for Unsymmetric Sparse $LU$ Factors
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A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
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Permuting Sparse Rectangular Matrices into Block-Diagonal Form
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Encapsulating Multiple Communication-Cost Metrics in Partitioning Sparse Rectangular Matrices for Parallel Matrix-Vector Multiplies
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Geometric Mesh Partitioning: Implementation and Experiments
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A New Implementation of Sparse Gaussian Elimination
inferredcites →https://doi.org/10.1145/360680.360704openalex-snapshot
On computing certain elements of the inverse of a sparse matrix
inferredcites →https://doi.org/10.1145/47917.47918openalex-snapshot
Sparsity structure and Gaussian elimination
inferredcites →https://doi.org/10.4310/cms.2009.v7.n1.a12openalex-snapshot
Reliability of layered neural oscillator networks
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Numerical methods for least squares problems

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Fast Methods for Computing Selected Elements of the Green’s Function in Massively Parallel Nanoelectronic Device Simulations
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Recent Advances in 2D Frequency-Domain Marine Controlled-Source EM Inversion Using Adjoint Approximate Sensitivities
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A high performance level-block approximate LU factorization preconditioner algorithm
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Simultaneous analysis of large INTEGRAL/SPI11Based on observations with INTEGRAL, an ESA project with instruments and science data center funded by ESA member states (especially the PI countries: Denmark, France, Germany, Italy, Spain, and Switzerland), Czech Republic and Poland with participation…
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Parallel direct solver for solving systems of linear equations resulting from finite element method on multi-core desktops and workstations
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PSelInv – A distributed memory parallel algorithm for selected inversion: The non-symmetric case
inferred← citeshttps://doi.org/10.1016/j.pepi.2017.07.006openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.procs.2017.05.096openalex-snapshot
A wrapper around parallel MUMPS solver to reduce its memory usage and execution time for finite element method computations
inferred← citeshttps://doi.org/10.1017/s0962492916000076openalex-snapshot
A survey of direct methods for sparse linear systems
inferred← citeshttps://doi.org/10.1080/08123985.2019.1614162openalex-snapshot
3D frequency-domain airborne EM forward modelling using spectral element method with Gauss–Lobatto–Chebyshev polynomials
inferred← citeshttps://doi.org/10.1080/10618600.2018.1473782openalex-snapshot
Efficient Covariance Approximations for Large Sparse Precision Matrices
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Direct Methods for Sparse Matrices
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Glossary of Symbols
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.002.0005openalex-snapshot
Copyright Page
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.002.0006openalex-snapshot
Preface
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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Graphs for symmetric and unsymmetric matrices
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The solve phase
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198508380.003.0015openalex-snapshot
Other sparsity-oriented issues
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Matrix and vector norms
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Pictures of sparse matrices
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Probing for the Trace Estimation of a Permuted Matrix Inverse Corresponding to a Lattice Displacement
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Model Order Reduction in Elastic Multibody Systems using the Floating Frame of Reference Formulation
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3D Wavelet Finite-Element Modeling of Frequency-Domain Airborne EM Data Based on B-Spline Wavelet on the Interval Using Potentials
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PSelInv -- A Distributed Memory Parallel Algorithm for Selected Inversion : the Symmetric Case
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High Performance Block Incomplete LU Factorization
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