## Parallel processing for matrix computation |

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### Contents

The numerical solution of xJmx + HJmx | 1 |

A comparison of BiCGSTAB and CGS methods | 19 |

A Gustafssontype modification for parallel ordered | 36 |

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### Common terms and phrases

7th Symposium algorithm Bessel Functions Bi-CG STAB ft Bi-CGSTAB and CGS Bi-CGSTAB CGS CGS method characteristic polynomial convection-diffusion equations convergence history CPU TIME SEC defined difference in convergence digraph Duff & Meurant EISPACK Equations Parallel Processing Fast and Smoothly finite difference Gaussian elimination ICCG ILU MILU MILU(t,x,y ILU preconditioned methods Incomplete LU Factorizations IOOO Keio University L2 norm Lanczos algorithm Large Sparse Sets Linear Equations Parallel March 1 Friday Math Matrix Computation March meshpoint MICCG MICCG(t,x,y Miyamae-ku NEC Corporation Neumann node Nonsymmetric Linear Systems number of iterations numerical experiments parallel computers parallel ordered MILU preconditioned iterative methods preconditioner Processing for Matrix red-black orderings relaxation parameters residual vector Ri(A Sets of Linear SIAM Smoothly Converging Variant Solution of Nonsymmetric Symposium on Large true residual norm UJ UJ UJ University of Tsukuba unmodified updated residual norm Vector Computers Vorst