How Ordinary Elimination Became Gaussian Elimination

Details How Ordinary Elimination Became Gaussian Elimination How Ordinary Elimination Became Gaussian Elimination

2009-07-14

arxiv.org/abs/0907.2397v4

Historia Math., vol. 38, no. 2, pp. 163-218, 2011

Mathematics

History and Overview

56 pages, 21 figures, 1 table

Scientific paper

10.1016/j.hm.2010.06.003

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 that Euler did not recommend, that Legendre called "ordinary," and that 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.

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