## Introduction to Numerical Methods for Parallel Computers |

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### Contents

Preface to the English Edition | 7 |

Possible Computer models | 16 |

Fundamentals of parallel numerical analysis | 28 |

Copyright | |

4 other sections not shown

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### Common terms and phrases

AMDAHL IBM Hitachi arithmetic expression arithmetic operations array processor benchmark tests calculated in parallel columns components control unit convergence decomposition diagonal eigenvalues elements entails equations example FORTRAN Gauss algorithm given Hessenberg matrix Hitachi Hitachi CRAY CYBER-205 Hyman IBM Hitachi CRAY ILLIAC IV implemented instructions interval arithmetic iteration Jacobi procedure Kernel Kuck and Sameh line searches linear recurrence log2 lower triangular matrix Mathematics Mbyte Mflops MIMD minimum points MISD multiplication nonlinear number of processors numerical analysis obtained operands parallel algorithms parallel computer parallel Gauss parallel numerical parallel version parallelisation performance Pipeline processors problem processors are available programs QR-algorithm real number recurrence relations recursive doubling rows scalar Schendel search directions sequence sequential serial shown SIMD SIMD machine SISD Sm(x solution solved storage units symmetrical symmetrical matrix transformation matrix tridiagonal matrix vector operations zero zeroise