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(6)
Gaussian Elimination
Least Square Method
Least Square
Linear Equations
Mathematics Education
Simultaneous Equations
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How ordinary elimination became Gaussian elimination
How ordinary elimination became Gaussian elimination,10.1016/j.hm.2010.06.003,Historia Mathematica,Joseph F. Grcar
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How ordinary elimination became Gaussian elimination
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Joseph F. Grcar
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 leastsquares 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.
Journal:
Historia Mathematica  HIST MATH
, vol. 38, no. 2, pp. 163218, 2011
DOI:
10.1016/j.hm.2010.06.003
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References
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Journal:
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Journal:
Quarterly Journal of Mechanics and Applied Mathematics  QUART J MECH APPL MATH
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Journal:
Numerical Algorithms
, vol. 43, no. 3, pp. 279288, 2006
Numerical Analysis in the Twentieth Century
(
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)
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,
L. Wuytack
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Education for Computational Science and Engineering
Joseph F. Grcar
Journal:
Computing Research Repository  CORR
, vol. abs/1102.4, 2011