André-Louis Cholesky

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André-Louis Cholesky (born October 15, 1875 in Montguyon , † August 31, 1918 near Bagneux in northern France) was a French mathematician .

Life

Cholesky attended the Lyceum in Bordeaux with the baccalaureate in 1893. From 1894 he studied at the École polytechnique , where, among other things, Camille Jordan was his teacher. In the final exam in 1897 he was 38igst of 222. He entered the army, completed the artillery and engineering school from 1897 to 1899 and became a surveying officer (Commandant d'Artillerie). Besides France (1905/06 in the Massif Central), Cholesky mapped in Crete and North Africa (1902/03 Tunisia, then until 1904 Algeria). During the First World War he was stationed in Romania, among other places. He died a few weeks before the end of the First World War from an artillery shell during fighting in northern France. His method for solving systems of linear equations with symmetrical , positively definite coefficient matrices , such as those resulting from the application of the least squares method , was published posthumously . The matrix decomposition used there was named Cholesky decomposition in his honor . The result can be found in a posthumous publication from 1924 by a commandant Ernest Benoît. In his estate there is a representation of the algorithm from 1910, but he had developed it a few years earlier for his work as a surveyor.

From 1909 to 1914 he was also a teacher at the École Spéciale des Trauvaux Publics, du Batiment et de l'Industrie (ESTP), a correspondence school.

His estate is at the École Polytechnique.

Publications

  • Cahiers du service geographique de l'armée. N ° 35. Rapports sur les opérations du nivellement de précision d'Algérie et du Tunisie pendant les campagnes 1910-1911, 1911-1912, 1912-1913 , Paris: 1913
  • Levés d'études à la planchette , Paris: Ecole spéciale des travaux publics, 1919
  • Cours de topographie , Paris: École spéciale des travaux publics, 1920–22

literature

  • Claude Brezinski, Dominique Tournès: André-Louis Cholesky: Mathematician, Topographer and Army Officer , Birkhäuser 2014

Web links

Individual evidence

  1. Commandant Benoît: Note sur une méthode de résolution des équations normales provenant de l'application de la méthode des moindre carre's à un système d'équations linéaires en nombre inférieur à celui des inconnues (Procédé du Commandant Cholesky) , 1924