Results 1  10
of
28
PVM implementation of heterogeneous ScaLAPACK dense linear solvers (Extended Abstract)
"... Vincent Boudet, Fabrice Rastello and Yves Robert LIP, UMR CNRS{ENS Lyon{INRIA 5668 Ecole Normale Superieure de Lyon F  69364 Lyon Cedex 07 email: Vincent.Boudet@enslyon.fr Abstract. We report only a small fraction of our results in this extended abstract. The complete version of the paper, ..."
Abstract
 Add to MetaCart
). How is it possible to eciently implement numerical linear algebra kernels like those included in the ScaLAPACK library ? Dealing with processors of different speeds requires to use more involved strategies than purely static blockcyclic data distributions. Dynamic data distribution is a rst
A proposal for a heterogeneous cluster ScaLAPACK (dense linear solvers)
, 2001
"... In this paper, we study the implementation of dense linear algebra kernels, such as matrix multiplication or linear system solvers, on heterogeneous networks of workstations. The uniform blockcyclic data distribution scheme commonly used for homogeneous collections of processors limits the perform ..."
Abstract

Cited by 59 (24 self)
 Add to MetaCart
In this paper, we study the implementation of dense linear algebra kernels, such as matrix multiplication or linear system solvers, on heterogeneous networks of workstations. The uniform blockcyclic data distribution scheme commonly used for homogeneous collections of processors limits
HeteroMPI+ScaLAPACK: Towards a ScaLAPACK (Dense Linear Solvers) on Heterogeneous Networks of Computers
 Proceedings of the 13th IEEE International Conference on High Performance Computing (HiPC 2006), Bangalore, India, LNCS Volume 4297
, 2006
"... Abstract. The paper presents a tool that ports ScaLAPACK programs designed to run on massively parallel processors to Heterogeneous Networks of Computers. The tool converts ScaLAPACK programs to HeteroMPI programs. The resulting HeteroMPI programs do not aim to extract the maximum performance from a ..."
Abstract

Cited by 3 (2 self)
 Add to MetaCart
Abstract. The paper presents a tool that ports ScaLAPACK programs designed to run on massively parallel processors to Heterogeneous Networks of Computers. The tool converts ScaLAPACK programs to HeteroMPI programs. The resulting HeteroMPI programs do not aim to extract the maximum performance from
Anatomy of a Parallel OutofCore Dense Linear Solver
, 1995
"... In this paper, we describe the design and implementation of the Platform Independent Parallel Solver (PIPSolver) package for the outofcore (OOC) solution of complex dense linear systems. Our approach is unique in that it allows essentially all of RAM to be filled with the current portion of the mat ..."
Abstract
 Add to MetaCart
that are currently being investigated put a limit on the size of the problem that can be solved, dictated by the aggregate RAM of the machine. A good example of this is the ScaLAPACK library for dense linear algebra [3]. This paper is concerned with the investigation of techniques for development of a dense linear
353PARALLEL DISTRIBUTED SOLVER A PARALLEL DISTRIBUTED SOLVER FOR LARGE DENSE SYMMETRIC SYSTEMS: APPLICATIONS TO GEODESY AND ELECTROMAGNETISM PROBLEMS
"... In this paper we describe the parallel distributed implementation of a linear solver for largescale applications involving real symmetric positive definite or complex symmetric nonHermitian dense systems. The advantage of this routine is that it performs a Cholesky factorization by requiring hal ..."
Abstract
 Add to MetaCart
rithms, symmetric dense linear systems, packed storage format, Cholesky factorization, ScaLAPACK, PLAPACK 1
Efficient Parallel Solvers for Large Dense Systems of Linear Interval Equations ∗
"... Verified solvers for dense linear (interval)systems require a lot of resources, both in terms of computing power and memory usage. Computing a verified solution of large dense linear systems (dimension n> 10000) on a single machine quickly approaches the limits of today’s hardware. Therefore, an ..."
Abstract
 Add to MetaCart
Verified solvers for dense linear (interval)systems require a lot of resources, both in terms of computing power and memory usage. Computing a verified solution of large dense linear systems (dimension n> 10000) on a single machine quickly approaches the limits of today’s hardware. Therefore
A parallel distributed solver for large dense symmetric systems: applications to geodesy and electromagnetism problems, Int
 J. of High Performance Computing Applications
"... In this paper we describe the parallel distributed implementation of a linear solver for largescale applications involving real symmetric positive definite or complex symmetric nonHermitian dense systems. The advantage of this routine is that it performs a Cholesky factorization by requiring half ..."
Abstract

Cited by 8 (4 self)
 Add to MetaCart
In this paper we describe the parallel distributed implementation of a linear solver for largescale applications involving real symmetric positive definite or complex symmetric nonHermitian dense systems. The advantage of this routine is that it performs a Cholesky factorization by requiring half
Heterogeneous distribution of computations solving linear algebra problems on networks of heterogeneous computers
 Journal of Parallel and Distributed Computing
"... This paper presents and analyzes two different strategies of heterogeneous distribution of computations solving dense linear algebra problems on heterogeneous networks of computers. The first strategy is based on heterogeneous distribution of processes over processors and homogeneous block cyclic d ..."
Abstract

Cited by 24 (11 self)
 Add to MetaCart
and portable programming of heterogeneous networks of computers. The first strategy was implemented using calls to ScaLAPACK; the second strategy was implemented with calls to LAPACK and BLAS. Cholesky factorization on a heterogeneous network of workstations is used to demonstrate that the heterogeneous
Parallel Block Iterative Solvers For Heterogeneous Computing Environments
, 1994
"... . We study the parallel implementations of a block iterative method in heterogeneous computing environments for solving linear systems of equations. The method is a generalization of the rowprojection Cimmino method where blocks are obtained by partitioning the original linear system of equations. ..."
Abstract

Cited by 5 (2 self)
 Add to MetaCart
. We study the parallel implementations of a block iterative method in heterogeneous computing environments for solving linear systems of equations. The method is a generalization of the rowprojection Cimmino method where blocks are obtained by partitioning the original linear system of equations
Experimental Study of Six Different Implementations of Parallel
 Matrix Multiplication on Heterogeneous Computational Clusters of Multicore Processors” in Proceedings of Parallel, Distributed and NetworkBased Processing (PDP
, 2010
"... Abstract—Two strategies of distribution of computations can be used to implement parallel solvers for dense linear algebra problems for Heterogeneous Computational Clusters of Multicore Processors (HCoMs). These strategies are called Heterogeneous Process Distribution Strategy (HPS) and Heterogeneo ..."
Abstract

Cited by 3 (0 self)
 Add to MetaCart
Abstract—Two strategies of distribution of computations can be used to implement parallel solvers for dense linear algebra problems for Heterogeneous Computational Clusters of Multicore Processors (HCoMs). These strategies are called Heterogeneous Process Distribution Strategy (HPS
Results 1  10
of
28