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An Extended Set of Fortran Basic Linear Algebra Subprograms
 ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE
, 1986
"... This paper describes an extension to the set of Basic Linear Algebra Subprograms. The extensions are targeted at matrixvector operations which should provide for efficient and portable implementations of algorithms for high performance computers. ..."
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Cited by 519 (68 self)
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This paper describes an extension to the set of Basic Linear Algebra Subprograms. The extensions are targeted at matrixvector operations which should provide for efficient and portable implementations of algorithms for high performance computers.
An Updated Set of Basic Linear Algebra Subprograms (BLAS)
 ACM Transactions on Mathematical Software
, 2001
"... This paper summarizes the BLAS Technical Forum Standard, a speci #cation of a set of kernel routines for linear algebra, historically called the Basic Linear Algebra Subprograms and commonly known as the BLAS. The complete standard can be found in #1#, and on the BLAS Technical Forum webpage #http: ..."
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Cited by 116 (7 self)
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This paper summarizes the BLAS Technical Forum Standard, a speci #cation of a set of kernel routines for linear algebra, historically called the Basic Linear Algebra Subprograms and commonly known as the BLAS. The complete standard can be found in #1#, and on the BLAS Technical Forum webpage #http:##www.netlib.org#blas#blastforum##
Krogh, Basic Linear Algebra Subprograms for
"... Most numerical programs do similar operations 90 % time is at 10 % of the code If these 10 % of the code is optimized, programs will be fast Frequently used subroutines should be available For numerical computations, common operations can be easily identified Example: ..."
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Most numerical programs do similar operations 90 % time is at 10 % of the code If these 10 % of the code is optimized, programs will be fast Frequently used subroutines should be available For numerical computations, common operations can be easily identified Example:
A set of Level 3 Basic Linear Algebra Subprograms for sparse matrices
 ACM Trans. Math. Softw
, 1995
"... This paper proposes a set of Level 3 Basic Linear Algebra Subprograms and associated kernels for sparse matrices. We discuss the design, implementation and use of subprograms for the multiplication of a full matrix by a sparse one and for the solution of sparse triangular systems with one or more ..."
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Cited by 38 (8 self)
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This paper proposes a set of Level 3 Basic Linear Algebra Subprograms and associated kernels for sparse matrices. We discuss the design, implementation and use of subprograms for the multiplication of a full matrix by a sparse one and for the solution of sparse triangular systems with one
A Proposal [or an ExLcndcd Set of IrorLran Basic Linear Algebra Subprograms
"... AbstractThis paper describes an extension to the set of Basic Linear Algebra Subprograms. The extensions proposed are targeted at matrix vector operations which should provide for more efficient and portable implementations of algor, ithrns for high performance computers. Part I: The Proposal I. ..."
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AbstractThis paper describes an extension to the set of Basic Linear Algebra Subprograms. The extensions proposed are targeted at matrix vector operations which should provide for more efficient and portable implementations of algor, ithrns for high performance computers. Part I: The Proposal I.
MBLAS: Modular Basic Linear Algebra Subprograms, Design and Speedup Techniques
"... Computation in prime fields Zp is used by various algorithms in computer algebra, and plays an important role in practice, especially when p is represented direct by machine datatype. The application area is wide spreaded, but in most cases, major part of the calculation can be reduced to a combinat ..."
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combination of basic linear operations, as in the calculations with polynomials over Zp. Arithmetic in Zp is very simple
Heterogeneous PBLAS: A Set of Parallel Basic Linear Algebra Subprograms for Heterogeneous Computational Clusters
"... We present a package, called Heterogeneous PBLAS (HeteroPBLAS), which is built on top of PBLAS and provides optimized parallel basic linear algebra subprograms for Heterogeneous Computational Clusters. We present the user interface and the software hierarchy of the first research implementation of H ..."
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We present a package, called Heterogeneous PBLAS (HeteroPBLAS), which is built on top of PBLAS and provides optimized parallel basic linear algebra subprograms for Heterogeneous Computational Clusters. We present the user interface and the software hierarchy of the first research implementation
Inner Product Outer Product MatrixVector Product MatrixMatrix Product Basic Linear Algebra Subprograms
"... Basic Linear Algebra Subprograms (BLAS) are building blocks for many other matrix computations BLAS encapsulate basic operations on vectors and matrices so they can be optimized for particular computer architecture while highlevel routines that call them remain portable BLAS offer good opportunitie ..."
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Basic Linear Algebra Subprograms (BLAS) are building blocks for many other matrix computations BLAS encapsulate basic operations on vectors and matrices so they can be optimized for particular computer architecture while highlevel routines that call them remain portable BLAS offer good
HETEROPBLAS: A SET OF PARALLEL BASIC LINEAR ALGEBRA SUBPROGRAMS OPTIMIZED FOR HETEROGENEOUS COMPUTATIONAL CLUSTERS ∗
"... Abstract. This paper presents a software library, called Heterogeneous PBLAS (HeteroPBLAS), which provides optimized parallel basic linear algebra subprograms for Heterogeneous Computational Clusters. This library is written on the top of HeteroMPI and PBLAS whose building blocks, the de facto stand ..."
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Abstract. This paper presents a software library, called Heterogeneous PBLAS (HeteroPBLAS), which provides optimized parallel basic linear algebra subprograms for Heterogeneous Computational Clusters. This library is written on the top of HeteroMPI and PBLAS whose building blocks, the de facto
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