How ordinary elimination became Gaussian elimination
How ordinary elimination became Gaussian elimination
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DOI：
10.1016/j.hm.2010.06.003
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发表时间：
2011-05-01
影响因子：
0.5
通讯作者：
Grcar, Joseph F.
中科院分区：
文献类型：
--
作者：
Grcar, Joseph F.
牛顿在一些他宁愿不被发表的笔记中，描述了一种求解联立方程的方法，后来的作者将其专门应用于线性方程。这种方法——欧拉不推荐，勒让德称之为“普通的”，高斯称之为“常见的”——现在以高斯命名：“高斯”消元法。高斯的名字通过专业计算人员采用他为自己的最小二乘法计算所设计的一种特殊符号而与消元法联系在一起。这种符号使得消元法可以被看作是一系列算术运算，这些运算为手工计算反复优化，最终用矩阵来描述。（C）2010爱思唯尔公司。保留所有权利。
Newton, in notes that he would rather not have seen published, described a process for solving simultaneous equations that later authors applied specifically to linear equations. This method - which Euler did not recommend, which Legendre called "ordinary," and which Gauss called "common" - is now named after Gauss: "Gaussian" elimination. Gauss's name became associated with elimination through the adoption, by professional computers, of a specialized notation that Gauss devised for his own least-squares calculations. The notation allowed elimination to be viewed as a sequence of arithmetic operations that were repeatedly optimized for hand computing and eventually were described by matrices. (C) 2010 Elsevier Inc. All rights reserved.