Software Libraries for Linear Algebra Computations on High Performance Computers

Keywords

Computer science, Cholesky decomposition, Parallel computing, Linear algebra, Distributed memory

References

• LAPACK Working Note 16: `Results from the Initial Release of LAPACK,''E. Anderson, Jack Dongarra — 1989
• LAPPACK Working Note No. 28: The IBM RISC System/6000 and Linear Algebra OperationsJack Dongarra, Peter Mayes, Giuseppe Radicati di Brozolo — 1990
• Broadcasting on linear arrays and meshesS. C. Seidel — 1993
• An object oriented design for high performance linear algebra on distributed memory architecturesJack Dongarra, David Walker, Roldan Pozo — 1993
• Communication performance of the Intel Touchstone DELTA meshT.H. Dunigan — 1992
• LAPACK for Distributed Memory Architectures: Progress ReportE. Anderson, Annamaria Benzoni, Jack Dongarra — 1991
• Matrix factorization on a hypercube multiprocessorG.A. Geist, Michael T. Heath — 1985
• Increasing the performance of mathematical software through high-level modularityJack Dongarra — 1985
• Two Dimensional Basic Linear Algebra Communication SubprogramsJack Dongarra, Robert A. Geijn, R. Clint Whaley — 1993
• Solving Problems on Concurrent ProcessorsGeoffrey Fox — 1988
• On the scalability of FFT on parallel computersAman Gupta, Vipin Kumar — 1990
• A Proposal for a User-Level, Message-Passing Interface in a Distributed Memory EnvironmentJack Dongarra, Rolf Hempel, A.J.G. Hey — 1993
• The design of scalable software libraries for distributed memory concurrent computersJae-Young Choi, Jack Dongarra, David Walker — 1993
• ScaLAPACK: a scalable linear algebra library for distributed memory concurrent computersJaeyoung Choi, Jack Dongarra, Roldan Pozo — 1992
• Data redistribution and concurrencyEric F. Van de Velde — 1990
• Basic Linear Algebra Subprograms for Fortran UsageC. L. Lawson, Richard Hanson, David R. Kincaid — 1979
• Solving linear systems on vector and shared memory computersJames M. Ortega, Jack Dongarra, Iain Duff — 1990
• A set of level 3 basic linear algebra subprogramsJack Dongarra, Jeremy Du Croz, Sven Hammarling — 1990
• Handbook for Automatic Computation. Vol II, Linear AlgebraBazilevsky M.P., J. H. Wilkinson, C. Reinsch — 1973
• Large Dense Numerical Linear Algebra in 1993: the Parallel Computing InfluenceAlan Edelman — 1993

Cited by

• Nonlinear kernel-based statistical pattern analysisTingga Pradana — 2001
• A parameterized ordering for cache-, register- and pipeline-efficient Givens QR decompositionJames J. Carrig, Gérard G. L. Meyer — 1999
• Loop partitioning versus tiling for cache-based multiprocessorsFabrice Rastello, Fabrice Rastello, Yves Robert — 1998
• Contributions à la recherche en calcul scientifique haute performance pour les matrices creusesChristof Vömel — 2003
• A Parallel Version of the Unsymmetric Lanczos Algorithm and its Application to QMRH. Martin Bücker, Manfred Sauren — 1996
• Tiling for Heterogeneous Computing PlatformsPierre Boulet, Jack Dongarra, Yves Robert — 2006
• A Proposal for a Heterogeneous Cluster ScaLAPACK (Dense Linear Solvers)Boudet, Vincent, Fabrice Rastello, Yves Robert — 2001
• Parametric Micro-level Performance Models for Parallel ComputingYoungtae Kim — 1994
• Performance Analysis of Cache-Aware Multicore Parallelization with Application to Optimization TheoryKristoffer Stensen — 2012
• Algorithmic and Scheduling Techniques for Heterogeneous and Distributed ComputingCyril Banino-Rokkones — 2007
• Efficient LU Factorization for Texas Instruments Keystone Architecture Digital Signal ProcessorsGilbert Netzer — 2015
• Determining the idle time of a tiling: new resultsF. Desprez, Jack Dongarra, Fabrice Rastello — 1997
• Data Allocation Strategies for Dense Linear Algebra Kernels on Heterogeneous Two-dimensional GridsVincent Boudet, Antoine Petitet, Fabrice Rastello — 1999
• Final Report, Center for Programming Models for Scalable Parallel Computing: Co-Array Fortran, Grant Number DE-FC02-01ER25505R. Numrich — 2008
• Filmification of Methods: Computation on MatricesNikolay Mirenkov, Alexander Vazhenin — 1998
• Real time resource management and adaptive parallel programming for a cluster of computers: a comparison of different approaches in a computationally intensive environmentNilabja Roy — 2001
• ScaLAPACK: A Linear Algebra Library for Message-Passing ComputersL. S. Blackford, Jaeyoung Choi, Andrew Cleary — 1997
• Parallel Computer Architecture: A Hardware/Software ApproachDavid Culler, Anoop Gupta, Jaswinder Pal Singh — 1998
• Load balancing strategies for dense linear algebra kernels on heterogeneous two-dimensional gridsOlivier Beaumont, Vincent Boudet, Fabrice Rastello — 2000
• Programming language requirements for the next millenniumWilliam G. Griswold, Richard Wolski, Scott B. Baden — 1996

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• Parallelization of a Two-dimensional Compressible Unsteady Navier-Stokes Solver on a Range of MIMD ComputersIsabelle d’Ast, Michel J. Daydé, Azzedine Kourta — 1993
• A parallel Cholesky factorization routine with a new version of PB-BLASJae-Young Choi, Sung‐Hoon Moon — 1997
• The design of linear algebra libraries for high performance computersJack Dongarra, David Walker — 1993