Introduction to Numerical Methods for Parallel Computers |
Contents
Table of Contents | 7 |
Possible Computer models | 16 |
Fundamentals of parallel numerical analysis | 28 |
Copyright | |
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Common terms and phrases
a₁ A₂ arithmetic expression array processor b₁ b₂ benchmark tests c₁ C₂ calculated in parallel columns components control unit convergence d₁ decomposition defined diagonal eigenvalues elements entails equations example FORTRAN Gauss algorithm given Hitachi ILLIAC IV implemented instructions interval arithmetic iteration Jacobi procedure Kernel Kuck and Sameh length line searches linear recurrence log₂ lower triangular lower triangular matrix Mathematics Mbyte Mflops MIMD minimum points MISD multiplication n-vector nonlinear number of processors numerical analysis obtained operands P₁ parallel algorithms parallel computation parallel Gauss parallel numerical parallel version parallelisation performance pipeline computer problem processors are available programs QR-algorithm recursive doubling rows scalar Schendel search directions sequence sequential serial shown SIMD SIMD machine SISD Sm(x solution solved speed-up steps storage units symmetrical symmetrical matrix T₁ transformation matrix triangular matrix tridiagonal tridiagonal matrix vector operations x₁ Xn+1 zero zeroise