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Abstract: The level 3 Basic Linear Algebra Subprograms (BLAS) are designed to perform various matrix multiply and triangular system solving computations. The development of optimal level 3 BLAS code is costly and time consuming, because it requires assembly level programming/thinking. However, it is possible to develop a portable and high-performance level 3 BLAS library mainly relying on a highly optimized GEMM, the routine for the general matrix multiply and add operation. With suitable partitioning,... (Update)
Context of citations to this paper: More
.... while maintaining the functionality of the BLAS and thereby guarantee high performance and portability of dense linear algebra codes [5, 6, 4]. The level 3 factorization algorithms typified by LAPACK make repeated calls to the level 3 BLAS with matrix operands equal to...
.... for FLAME is the idea proposed by Kagstrom, Ling and Van Loan to code level 3 BLAS in terms of optimized matrix matrix multiplication [19, 17]. This work was based on a careful study of memory hierarchies and how best to construct an ecient implementation of the entire BLAS...
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BibTeX entry: (Update)
B. Kagstrom, P. Ling, and C. Van Loan. Gemm-based level 3 blas: high-performance model implementations and performance evaluation benchmark. Accepted for publication in ACM Transactions on Mathematical Software, 1997. http://citeseer.ist.psu.edu/article/kagstrom95gemmbased.html More
@techreport{ kagstrom95gemmbased,
author = "B. Kagstrom and P. Ling and C. van Loan",
title = "{GEMM}-Based Level 3 {BLAS}: Installation, Tuning and Use of the Model Implementations and the Performance Evaluation Benchmark",
number = "UT-CS-95-316",
year = "1995",
url = "citeseer.ist.psu.edu/article/kagstrom95gemmbased.html" }
Citations (may not include all citations):532 LAPACK Users Guide (context) - Anderson, Bai et al. - 1992
387 A Set of Level 3 Basic Linear Algebra Subprograms (context) - Dongarra, DuCroz et al. - 1990 ACM DBLP
345 Basic Linear Algebra Subprograms for Fortran Usage (context) - Lawson, Hanson et al. - 1979 ACM DBLP
245 An Extended Set of Fortran Basic Linear Algebra Subprograms - Dongarra, Croz et al. - 1988 ACM
168 Gaussian elimination is not optimal (context) - Strassen - 1969
41 Impact of Hierarchical Memory Systems on Linear Algebra Algo.. (context) - Gallivan, Jalby et al. - 1988
28 Exploiting Fast Matrix Multiplication Within the Level 3 BLA.. (context) - Higham - 1990 ACM DBLP
26 Algorithm 679: A Set of Level 3 Basic Linear Algebra Subprog.. (context) - Dongarra, DuCroz et al. - 1990
23 Department of Computer Science (context) - Kagstrom, Van Loan et al. - 1989
19 Improving performance of linear algebra algorithms for dense.. (context) - Agarwal, Gustavson et al. - 1994
15 GEMM-Based Level 3 BLAS: High-Performance Model Implementati.. - Kagstrom, Ling et al. - 1995 DBLP
12 Portable High Performance GEMM-- Based Level 3 BLAS (context) - Kagstrom, Ling et al. - 1993
6 The IBM RISC System 6000 and Linear Algebra Operations (context) - Dongarra, Mayes et al. - 1991
6 High Performance GEMM-Based Level 3 BLAS: Sample Routines fo.. (context) - Kagstrom, Ling et al. - 1991
4 Some Remarks on Fast Multiplication of Polynomials (context) - Winograd - 1973
3 A Set of High Performance Level-3 BLAS Structured and Tuned .. (context) - Ling - 1993
3 Paragon Basic Math Library Performance Report (context) - Corporation - 1993
3 Guide and Reference (context) - Engineering, Library - 1994
2 Optimization of Level 3 BLAS for SIEMENS VP Systems (context) - Grasemann - 1989
2 Implementation of the Level 2 and 3 BLAS on the CRAY Y-MP an.. (context) - Sheik, Phuong et al. - 1992
2 GEMM-Based Level 3 BLAS: Algorithms for the Model Implementa.. (context) - Kagstrom, Ling et al. - 1994
1 High Performance Level 3 BLAS (context) - Green - 1994
1 A Parallel Block Implementation of Level3 BLAS for MIMD Vect.. (context) - Dayde, Duff et al. - 1994
1 GEMMV: A Portable Level 3 BLAS Winograd Variant of Strassen'.. (context) - Douglas, Heroux et al. - 1994
1 Design Issues and the Performance of Level 1 and Level 2 Ker.. (context) - Dackland - 1995
1 Exploting functional parallelism of POWER2 to design high-pe.. (context) - Agarwal, Gustavson et al. - 1994
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