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求解一类T型线性方程组的快速算法
引用本文:蒋昌俊,阎春钢.求解一类T型线性方程组的快速算法[J].山东科技大学学报(自然科学版),1991(3).
作者姓名:蒋昌俊  阎春钢
作者单位:山东矿业学院应用数学与软件工程系,山东矿业学院应用数学与软件工程系
摘    要:本文首先给出一个求解一类T型线性方程组的快速串行算法,它的复杂性是O(nlogn),比目前最好的O(n~2)算法复杂性要低。接着又指出了它的并行计算方案,在n台处理机的条件下,计算步数不超过O(logn),速度倍数是O(n),效率是O(1)。

关 键 词:线性方程组  算法  复杂性

A FAST ALGORITHM FOR SOLVING A KIND OF TYPE LINEAR EQUATION SYSTEMS
Jiang Changjun, Yan Chungang.A FAST ALGORITHM FOR SOLVING A KIND OF TYPE LINEAR EQUATION SYSTEMS[J].Journal of Shandong Univ of Sci and Technol: Nat Sci,1991(3).
Authors:Jiang Changjun  Yan Chungang
Institution:Dept. of Math. and Software Eng.
Abstract:In this paper, a fast series algorithm for solving a kind of T- type linear equation systems is given. Its complexityis O (nlogn) which is lower than that of the best O (n~2) algorithm. Then, a parallel algorithm is pointed out, its calculation steps are not more than O (logn) and its speed multiple is O (n), efficiency is O (1) under the condition of n processors are used
Keywords:linear equation system  algorithm  complexity
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