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Gauss, Statistics, and Gaussian Elimination

G. W. Stewart
Journal of Computational and Graphical Statistics
Vol. 4, No. 1 (Mar., 1995), pp. 1-11
DOI: 10.2307/1390624
Stable URL: http://www.jstor.org/stable/1390624
Page Count: 11
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Gauss, Statistics, and Gaussian Elimination
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Abstract

Gaussian elimination is the algorithm of choice for the solution of dense linear systems of equations. However, Gauss himself originally introduced his elimination procedure as a way of determining the precision of least squares estimates and only later described the computational algorithm. This article tells the story of Gauss, his algorithm, and its relation to his probabilistic development of least squares.

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