A set of level 3 basic linear algebra subprograms

Keywords

Linear algebra, Computer science, Extension (predicate logic), Set (abstract data type), Implementation

References

• LINPACK Users' GuideJack Dongarra, C Moler, James R. Bunch — 1987
• An extended set of Fortran Basic Linear Algebra Subprograms: model implementation and test programsJack Dongarra, Jeremy Du Croz, Sven Hammarling — 1987
• QR-factorization of partitioned matrices: Solution of large systems of linear equations with non-definite coefficient matricesO.E. Brønlund, Th.Lunde Johnsen — 1974
• Staircase matrices and systemsRobert Fourer — 1984
• Sparse matrix calculations on the CRAY-2Ameet K Dave, Iain Duff — 1987
• Basic Linear Algebra Subprograms for Fortran UsageC. L. Lawson, Richard Hanson, David R. Kincaid — 1979
• Linear algebra on high performance computersJack Dongarra, D. C. Sorensen — 1986
• Corrigenda: “An Extended Set of FORTRAN Basic Linear Algebra Subprograms”Jack Dongarra, Jeremy Croz and Sven Hammarling and Richard J. Hanson — 1988
• Organizing matrices and matrix operations for paged memory systemsA. C. McKellar, E. G. Coffman — 1969
• Algorithm 679: A set of level 3 basic linear algebra subprograms: model implementation and test programsJack Dongarra, Jermey Du Cruz, Sven Hammarling — 1990
• Issues relating to extension of the Basic Linear Algebra SubprogramsDavid S. Dodson, John G. Lewis — 1985
• The use of BLAS3 in linear algebra on a parallel processor with a hierarchical memoryKyle A. Gallivan, William Jalby, Ulrike Meier — 1987
• Auxiliary Storage Methods for Solving Finite Element SystemsAlan D. George, Hamza Rashwan — 1985
• Algorithm 656: an extended set of basic linear algebra subprograms: model implementation and test programsJack Dongarra, Jeremy Du Croz, Sven Hammarling — 1988
• A new formulation of the hypermatrix Householder-QR decompositionG. Dietrich — 1976
• The WY representation for products of householder matricesChristian Bischof, Charles Van Loan — 1985
• Solving Large Full Sets of Linear Equations in a Paged Virtual StoreJ. J. Du Croz, S. M. Nugent, John Reid — 1981
• Block reflectors: theory and computationRobert Schreiber, Beresford Ν. Parlett — 1988
• Algorithm 539: Basic Linear Algebra Subprograms for Fortran Usage [F1]C. L. Lawson, Richard Hanson, Fred T. Krogh — 1979
• Solution of Simultaneous Linear Equations using a Magnetic-Tape StoreD. W. Barron — 1960

Cited by

• Matrix multiplication on the Intel Touchstone DeltaSteven Huss‐Lederman, Elaine Jacobson, Anna Tsao — 1994
• Numerical Methods and Software for General and Structured Eigenvalue ProblemsDaniel Kreßner — 2004
• High-throughput Genome-wide Association Analysis for Single and Multiple PhenotypesDiego Fabregat‐Traver, Yurii S. Aulchenko, Paolo Bientinesi — 2012
• Theoretical study of the double Renner effect for A2Pi MgNC/MgCN: higher excited rovibrational states.S. H. Katz, Horace C. Porter — 2007
• Performance of a Parallel Transport Code for Molecular Electronics SimulationsBrent Metz, Justin Wienckowski, Calvin J. Ribbens — 2002
• Efficient Sparse LU Factorization with Left-Right Looking Strategy on Shared Memory MultiprocessorsOlaf Schenk, Klaus Gärtner, Wolf Fïchtner — 2000
• Balance of HPC Systems Based on HPCC Benchmark ResultsRolf Rabenseifner — 2005
• Computation of the Density Matrix in Electronic Structure Theory in Parallel on Multiple Graphics Processing Units.Cut Masyithah — 2014
• The dangers of heterogeneous network computing: heterogeneous networks considered harmfulJames Demmel, K. Stanley, Jack Dongarra — 1996
• BLAS on the Trident Processor: Implementation and Performance EvaluationMostafa I. Soliman, Stanislav G. Sedukhin — 2003
• Some parallel linear and nonlinear schwarz methods with applications in computational fluid dynamicsFeng‐Nan Hwang, Xiao‐Chuan Cai — 2004
• LAPACK Working Note 41: Installation Guide for LAPACKE. Anderson, Jack Dongarra, Susan Ostrouchov — 1992
• Optimisation multi-niveau d’une application de traitement d’images sur machines parallèlesTarik Saidani — 2012
• A Distributed Memory Implementation of the Nonsymmetric QR AlgorithmJack Dongarra, Greg Henry, David S. Watkins — 1997
• PROFIL/BIAS—A fast interval libraryOlaf Knüppel — 1994
• PLAPACK: Parallel Linear Algebra PackagePhillip Alpatov, Gregory S. Baker, Harold Edwards — 1997
• Vectorización de algoritmos generales de convergencia fuerte para la solución de ecuaciones diferenciales estocásticas (SDE)Quiñones Botero, Carlos Eduardo — 2007
• The design and implementation of the MRRR algorithmInderjit S. Dhillonand, Beresford N. Parlettand, Christof Vömel — 2006
• MA42 - A new frontal code for solving sparse unsymmetric systemsIain Duff, JA Scott — 1993
• Modelling the Performance of Processors in Heterogeneous Computing EnvironmentsRobert Higgins — 2011

Related papers

• An interview study of 'continuous' implementations of information technologyChristian Korunka, Andreas Weiß, Sabine Zauchner — 1997
• Cost-Benefit Analysis of RFID Implementations in Retail StoresJayavel Sounderpandian, Rajendra V. Boppana, Suresh Chalasani — 2006
• Case studies in Advanced Planning Systems for Tactical Planning in Process IndustriesOla Cederborg — 2010
• Continuous implementation of information technology: The development of an interview guide and a cross‐national comparison of Austrian and American organizationsChristian Korunka, Pascale Carayon — 1999
• The organisation and management of agricultural extension and farmer-assistance—A note on developments in Botswana. Part 1: Organisation for extension and some extension problemsAlan Kingshotte — 1980
• Success Factors of Knowledge Management in Universities (A Case Study: Jordanian Private Universities)Ali Taha Al-Oqaily, Zainuddin Hassan, Abdullah Mohammed Rashid — 2014
• Continuous implementation of information technology: The development of an interview guide and a cross‐national comparison of Austrian and American organizationsChristian Korunka, Pascale Carayon — 1999
• Benchmarking GPUs to tune dense linear algebraВ. М. Волков, James Demmel — 2008
• Benchmarking GPUs to tune dense linear algebraВ. М. Волков, J. Demmel — 2008