How ordinary elimination became Gaussian elimination |
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Authors: | Joseph F Grcar |
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Institution: | 6059 Castlebrook Drive, Castro Valley, CA 94552-1645, USA |
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Abstract: | 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. |
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Keywords: | 01-08 62J05 65-03 65F05 97-03 |
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