## Parallel processing for scientific computing |

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### Contents

Numerical Analysis of Natural Convection in Eccentric Annuli | 1 |

Lanczostype Methods for Solving Nonsymmetric Linear Systems | 14 |

A Matrix Analysis of Conjugate Gradient Algorithms | 32 |

2 other sections not shown

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### Common terms and phrases

B-normal(l B-orthogonal BCA is definite Bek,sk breakdown CG algorithms CG method coefficient Computing March 2nd conjugate gradient algorithms conjugate gradient method D. M. Young DB(a defined derive diagonal direction vectors DMB(k DMI(k eigenvalue estimates eigenvalues of Hk eigenvector Equations Parallel Processing equivalent forward-backward substitutions Hessenberg matrix Hk and Gk iteration parameters Iterative Methods Keio University Krylov subspace Lanczos algorithms Lanczos method Lanczos/Orthodir Large Sparse Sets Lemma Linear Equations Parallel linear systems Manteuffel March 2nd Tuesday matrix formulation matrix relationships method for solving method of minimized MILU minimized iterations minimum polynomial modified block preconditioned modified block preconditioner Monte Carlo method nonsingular number of iterations Numerical Analysis Orthodir Orthomin and Orthores p-q algorithm parallel computer parallel preconditioned Partial Differential Equations pk+i problem Processing for Scientific progressive algorithm r(n+l Scientific Computing March sets of vectors si+i SkLk Symposium on Large Time(sec