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Linear Algebra Computations in Heterogeneous Systems
, 2013
"... All intext references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately. ..."
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All intext references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately.
Multilevel Blocking and Prefetching for Linear Algebra Computations
"... In a previous work [Nava94] it was shown that the performance of linear algebra computations, which access large amounts of data, is dependent on the behavior of the memory hierarchy. This research is aimed to use the multilevel orthogonal blocking approach in conjuntion with other software techniqu ..."
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In a previous work [Nava94] it was shown that the performance of linear algebra computations, which access large amounts of data, is dependent on the behavior of the memory hierarchy. This research is aimed to use the multilevel orthogonal blocking approach in conjuntion with other software
On numerical stability in large scale linear algebraic computations
 ZAMM Z. ANGEW. MATH. MECH
, 2005
"... Numerical solving of realworld problems typically consists of several stages. After a mathematical description of the problem and its proper reformulation and discretisation, the resulting linear algebraic problem has to be solved. We focus on this last stage, and specifically consider numerical st ..."
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Numerical solving of realworld problems typically consists of several stages. After a mathematical description of the problem and its proper reformulation and discretisation, the resulting linear algebraic problem has to be solved. We focus on this last stage, and specifically consider numerical
Modular Arithmetic for Linear Algebra Computations in the Real Field
, 1998
"... The aim of this work is to decrease the bit precision required in communications without affecting the precision of the answer... ..."
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Cited by 2 (2 self)
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The aim of this work is to decrease the bit precision required in communications without affecting the precision of the answer...
Software libraries for linear algebra computations on high performance computers
 SIAM REVIEW
, 1995
"... This paper discusses the design of linear algebra libraries for high performance computers. Particular emphasis is placed on the development of scalable algorithms for MIMD distributed memory concurrent computers. A brief description of the EISPACK, LINPACK, and LAPACK libraries is given, followed b ..."
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Cited by 70 (15 self)
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This paper discusses the design of linear algebra libraries for high performance computers. Particular emphasis is placed on the development of scalable algorithms for MIMD distributed memory concurrent computers. A brief description of the EISPACK, LINPACK, and LAPACK libraries is given, followed
A New Approach for Automatic Parallelization of Blocked Linear Algebra Computations
, 1991
"... This paper describes a new approach for automatic generation of efficient parallel programs from sequential blocked linear algebra programs. By exploiting recent progress in finegrain parallel architectures such as iWarp, and in libraries based on matrixmatrix block operations such as LAPACK, the a ..."
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Cited by 6 (0 self)
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, the approach is expected to be effective in parallelizing a large class of linear algebra computations. An implementation of LAPACK on iWarp is under development. In the implementation, block routines are executed on the iWarp processor array using highly parallel systolic algorithms. Matrices are distributed
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 523 (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.
Parallel Numerical Linear Algebra
, 1993
"... We survey general techniques and open problems in numerical linear algebra on parallel architectures. We first discuss basic principles of parallel processing, describing the costs of basic operations on parallel machines, including general principles for constructing efficient algorithms. We illust ..."
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Cited by 773 (23 self)
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We survey general techniques and open problems in numerical linear algebra on parallel architectures. We first discuss basic principles of parallel processing, describing the costs of basic operations on parallel machines, including general principles for constructing efficient algorithms. We
Performance Modeling Tools for Parallel Sparse Linear Algebra Computations
 PARALLEL COMPUTING
, 2009
"... Abstract. We developed a Performance Modeling Tools (PMTOOLS) library to enable simulationbased performance modeling for parallel sparse linear algebra algorithms. The library includes microbenchmarks for calibrating the system’s parameters, functions for collecting and retrieving performance data ..."
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Abstract. We developed a Performance Modeling Tools (PMTOOLS) library to enable simulationbased performance modeling for parallel sparse linear algebra algorithms. The library includes microbenchmarks for calibrating the system’s parameters, functions for collecting and retrieving performance
Results 1  10
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72,398