Contents

• List of Figures
• List of Tables
• Introduction
  • Background
  • An overview of SymPLA
• Parallel programming tools
  • Parallel programming languages
    • High Performance Fortran
    • MasPar Programming Language
    • Parallel C++
      • pC++
      • Compositional C++
  • Message passing environments
    • PVM
    • MPI
    • NX
    • BLACS
  • Numerical libraries
    • BLAS
    • LAPACK
    • SCALAPACK
• The SymPLA class library
  • Properties
  • Basic foundations
  • Design and implementation
    • Matrix declaration
    • Matrix algebra
    • Accessing the matrix size
    • Maximal or minimal elements
    • How to store the matrix data
      • Modifications in other structures
    • Submatrices
      • IndexLists
      • Practical submatrices
    • Factorization and system solving
      • Implementation details
    • Input and output of data in matrices
      • Data in files
      • Data in memory
      • Constants
      • The Identity matrix
      • The diagonal matrix
      • Element functions
  • Vectors
  • Summary of techniques
• Implementations
  • Sequential version
  • Parallel versions
    • SIMD implementation
    • MIMD implementation
• Experiences
  • Performance
    • LAPACK version
      • Addition
      • Multiplication
      • LU factorization
      • Overhead
    • ScaLAPACK version
      • Addition
      • Multiplication
      • LU factorization
      • Overhead
      • Scalability
    • MasPar version
      • Addition
      • Multiplication
      • LU factorization
      • Overhead
  • Ease of use
    • A conjugated gradient routine
  • Portability and extensions
• Conclusions and future work
  • A complete, standard Matrix class library
  • Parallel extensions
  • Conclusions
• References
• Source code: SymPLA header files
  • Source/include/Matrix.h
  • Source/include/MatrixHandler.h
  • Source/include/SolverCollection.h
  • Source/include/LUsolver.h
  • Source/include/Permute.h
  • Source/include/TriangularSolver.h
  • Source/include/Minimax.h
  • Source/include/Matrixdefs.h
  • Source/include/Vector.h
  • Source/include/VectorHandler.h
  • Source/include/TransposedVector.h
  • Source/include/TransposedVectorHandler.h
  • Source/include/OuterProduct.h
  • Source/include/IndexList.h
  • Source/include/Exception.h
  • Source/include/Diag.h
  • Source/include/Special.h
• Source code: SymPLA Library
  • Source/library/Matrix.C
  • Source/library/MatrixHandler.C
  • Source/library/LUsolver.C
  • Source/library/Permute.C
  • Source/library/TriangularSolver.C
  • Source/library/MatMinimax.C
  • Source/library/Vector.C
  • Source/library/VectorHandler.C
  • Source/library/TransVector.C
  • Source/library/TransVectorH.C
  • Source/library/VecMinimax.C
  • Source/library/OuterProduct.C
  • Source/library/IndexList.C
  • Source/library/Special.C
  • Source/library/Exception.C
• Source code: LAPACK version
  • Source/single/Matrixscope.h
  • Source/single/Vectorscope.h
  • Source/single/blas.h
  • Source/single/MatrixScope.C
  • Source/single/VectorScope.C
• Source code: SCALAPACK version
  • Source/client/Matrixscope.h
  • Source/client/Vectorscope.h
  • Source/client/Scala.h
  • Source/client/Scalaprocid.h
  • Source/client/Clientcount.h
  • Source/client/ScalaException.h
  • Source/client/pblas.h
  • Source/client/scalapack.h
  • Source/client/MatrixScope.C
  • Source/client/VectorScope.C
  • Source/client/ScalaClient.C
  • Source/client/ScalaCBLACS.C
  • Source/client/ScalaServer.C
  • Source/client/distribution.C
  • Source/client/ScalaServerBLACS.C
  • Source/client/Scaladescr.C
  • Source/client/Scalaparam.C
  • Source/client/Clientcount.C
  • Source/client/functiondef.C
• Source code: MasPar version
  • Source/maspar/Matrixscope.h
  • Source/maspar/Vectorscope.h
  • Source/maspar/Maspar.h
  • Source/maspar/MatrixScopeMaspar.C
  • Source/maspar/VectorScopeMaspar.C
  • Source/maspar/functiondef.C
  • Source/maspar/DPUmatrixserver.m
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