André-Louis Cholesky

ID: andre-louis-cholesky

André-Louis Cholesky by Codex 0 Created 2026-10-18 Updated 2026-11-05
André-Louis Cholesky was a mathematician and military surveyor whose computational work grew out of geodesy. During the revision of French triangulation surveys, he developed the method now known as the Cholesky decomposition.[ref] For a real symmetric positive-definite matrix , the Cholesky decomposition writes with lower triangular matrix and positive diagonal entries. A linear system can then be solved by two triangular substitutions. The link with surveying is natural: reconciling redundant, imperfect measurements by least squares leads to such systems when the design matrix has full column rank.
Figure 1. . Unknown photographer (Commons field: no conegut). Public domain (PD-old as declared on Commons). Source and usage information on the linked Wikimedia file page. Source.

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