Processor Efficient Parallel Solution

نویسنده

  • Gilles Villard
چکیده

Nous pr esentons un algorithme parall ele d eterministe pour la r esolution d'un syst eme d' equations lin eaires Ax = b sur un corps de caract eristique nulle. Cet algorithme s'ex ecute en temps O(log 2 n) et utilise O(M(n)) processeurs arithm etiques si M(n) est le nombre de processeurs requis pour le produit de matrices en temps O(log n). Abstract. We present a deterministic parallel algorithm that solves a n-dimensional system Ax = b of linear equations over a eld of characteristic zero. This algorithm uses O(log 2 n) parallel time and O(M(n)) arithmetic processors if M(n) is the processor complexity of parallel matrix multiplication.

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تاریخ انتشار 1998