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Performance and Scalability of the Block Low-Rank Multifrontal Factorization on Multicore Architectures

ACM transactions on mathematical software, 2019-02, Vol.45 (1), p.1-26

2019

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Improving Multifrontal Methods by Means of Block Low-Rank Representations

SIAM journal on scientific computing, 2015-01, Vol.37 (3), p.A1451-A1474

2015

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On the Complexity of the Block Low-Rank Multifrontal Factorization

SIAM journal on scientific computing, 2017-01, Vol.39 (4), p.A1710-A1740

2017

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Bridging the Gap Between Flat and Hierarchical Low-Rank Matrix Formats: The Multilevel Block Low-Rank Format

SIAM journal on scientific computing, 2019-01, Vol.41 (3), p.A1414-A1442

2019

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A fully asynchronous multifrontal solver using distributed dynamic scheduling

SIAM journal on matrix analysis and applications, 2001-01, Vol.23 (1), p.15-41

2001

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Fast 3D frequency-domain full-waveform inversion with a parallel block low-rank multifrontal direct solver: Application to OBC data from the North Sea

Geophysics, 2016-11, Vol.81 (6), p.R363-R383

2016

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On Exploiting Sparsity of Multiple Right-Hand Sides in Sparse Direct Solvers

SIAM journal on scientific computing, 2019-01, Vol.41 (1), p.A269-A291

2019

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Combining Sparse Approximate Factorizations with Mixed-precision Iterative Refinement

ACM transactions on mathematical software, 2023-03, Vol.49 (1), p.1-29, Article 4

2023

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Communication Avoiding Block Low-Rank Parallel Multifrontal Triangular Solve with Many Right-Hand Sides

SIAM journal on matrix analysis and applications, 2024-01, Vol.45 (1), p.148-166

2024

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Five-Precision GMRES-Based Iterative Refinement

SIAM journal on matrix analysis and applications, 2024-01, Vol.45 (1), p.529-552

2024

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Mixed precision low-rank approximations and their application to block low-rank LU factorization

IMA journal of numerical analysis, 2023-08, Vol.43 (4), p.2198-2227

2023

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3D finite-difference frequency-domain modeling of visco-acoustic wave propagation using a massively parallel direct solver: A feasibility study

Geophysics, 2007-09, Vol.72 (5), p.SM195-SM211

2007

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Hybrid scheduling for the parallel solution of linear systems

Parallel computing, 2006-02, Vol.32 (2), p.136-156

2006

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Large-scale 3-D EM modelling with a Block Low-Rank multifrontal direct solver

Geophysical journal international, 2017-06, Vol.209 (3), p.1558-1571

2017

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Efficient use of sparsity by direct solvers applied to 3D controlled-source EM problems

Computational geosciences, 2019-12, Vol.23 (6), p.1237-1258

2019

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Robust Memory-Aware Mappings for Parallel Multifrontal Factorizations

SIAM journal on scientific computing, 2016-01, Vol.38 (3), p.C256-C279

2016

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FWT2D : A massively parallel program for frequency-domain full-waveform tomography of wide-aperture seismic data-Part 1 Algorithm

Computers & geosciences, 2009-03, Vol.35 (3), p.487-495

2009

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Parallel Computation of Entries of ${A}^{-1}

SIAM journal on scientific computing, 2015-01, Vol.37 (2), p.C268-C284

2015

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Constructing memory-minimizing schedules for multifrontal methods

ACM transactions on mathematical software, 2006-03, Vol.32 (1), p.17-32

2006

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FWT2D : A massively parallel program for frequency-domain full-waveform tomography of wide-aperture seismic data-Part 2 Numerical examples and scalability analysis

Computers & geosciences, 2009-03, Vol.35 (3), p.496-514

2009

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

SIAM journal on scientific computing, 2012-01, Vol.34 (4), p.A1975-A1999

2012

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A study of shared-memory parallelism in a multifrontal solver

Parallel computing, 2014-03, Vol.40 (3-4), p.34-46

2014

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

IEEE transactions on magnetics, 2014-02, Vol.50 (2), p.517-520

2014

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A parallel out-of-core multifrontal method: Storage of factors on disk and analysis of models for an out-of-core active memory

Parallel computing, 2008-07, Vol.34 (6), p.296-317

2008

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Modeling 1D Distributed-Memory Dense Kernels for an Asynchronous Multifrontal Sparse Solver

High Performance Computing for Computational Science -- VECPAR 2014, p.156-169

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Performance and Scalability of the Block Low-Rank Multifrontal Factorization on Multicore Architectures

Improving Multifrontal Methods by Means of Block Low-Rank Representations

On the Complexity of the Block Low-Rank Multifrontal Factorization

Bridging the Gap Between Flat and Hierarchical Low-Rank Matrix Formats: The Multilevel Block Low-Rank Format

A fully asynchronous multifrontal solver using distributed dynamic scheduling

Fast 3D frequency-domain full-waveform inversion with a parallel block low-rank multifrontal direct solver: Application to OBC data from the North Sea

On Exploiting Sparsity of Multiple Right-Hand Sides in Sparse Direct Solvers

Combining Sparse Approximate Factorizations with Mixed-precision Iterative Refinement

Communication Avoiding Block Low-Rank Parallel Multifrontal Triangular Solve with Many Right-Hand Sides

Five-Precision GMRES-Based Iterative Refinement

Mixed precision low-rank approximations and their application to block low-rank LU factorization

3D finite-difference frequency-domain modeling of visco-acoustic wave propagation using a massively parallel direct solver: A feasibility study

Hybrid scheduling for the parallel solution of linear systems

Large-scale 3-D EM modelling with a Block Low-Rank multifrontal direct solver

Efficient use of sparsity by direct solvers applied to 3D controlled-source EM problems

Robust Memory-Aware Mappings for Parallel Multifrontal Factorizations

FWT2D : A massively parallel program for frequency-domain full-waveform tomography of wide-aperture seismic data-Part 1 Algorithm

Parallel Computation of Entries of ${A}^{-1}

Constructing memory-minimizing schedules for multifrontal methods

FWT2D : A massively parallel program for frequency-domain full-waveform tomography of wide-aperture seismic data-Part 2 Numerical examples and scalability analysis

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

A study of shared-memory parallelism in a multifrontal solver

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

A parallel out-of-core multifrontal method: Storage of factors on disk and analysis of models for an out-of-core active memory

Modeling 1D Distributed-Memory Dense Kernels for an Asynchronous Multifrontal Sparse Solver

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