Gauss Jordan Elimination

With Gauss Jordan Elimination , you apply the Elementary row operations to a matrix to obtain ( row - equivalent ) row-echelon form. A second method of elimination, called Gauss-Jordan elimination after Carl Gauss and Wilhelm Jordan ( 1842 - 1899), continues the reduction until a reduced row-echelon  form is obtained.
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Wilhelm Jordan

Date of birth	1 March 1842
Country of nationality	Germany
Profession	Mathematician
Date of death	17 April 1899

Wilhelm Jordan was a German geodesist who did surveys in Germany and Africa and founded the German geodesy journal.Jordan was born in Ellwangen, a small town in southern Germany. He studied at the polytechnic institute in Stuttgart and after working for two years as an engineering assistant on the preliminary stages of railway construction he returned there as an assistant in geodesy. In 1868, when he was 26 years old, he was appointed a full professor at Karlsruhe. In 1874 Jordan took part in the expedition of Friedrich Gerhard Rohlfs to Libya. From 1881 until his death he was professor of geodesy and practical geometry at the Technical University Hanover. He was a prolific writer and his best known work was his Handbuch der VermessungskundeHe is remembered among mathematicians for the Gauss–Jordan elimination algorithm, with Jordan improving the stability of the algorithm so it could be applied to minimizing the squared error in the sum of a series of surveying observations. This algebraic technique appeared in the third edition of his Textbook of Geodesy.Wilhelm Jordan is not to be confused with the mathematician Camille Jordan, nor with the German physicist Pascual Jordan.





Reference : http://www.yatedo.com/p/Wilhelm+Jordan/famous/870d538051e997c0ff6d724d551aa2ab
http://pages.pacificcoast.net/~cazelais/251/gauss-jordan.pdf