Abstract

This paper surveys the contributions of five mathematicians—Eugenio Beltrami (1835–1899), Camille Jordan (1838–1921), James Joseph Sylvester (1814–1897), Erhard Schmidt (1876–1959), and Hermann Weyl (1885–1955)—who were responsible for establishing the existence of the singular value decomposition and developing its theory.

Keywords

Singular value decompositionValue (mathematics)MathematicsDecompositionPhilosophyAlgebra over a fieldCalculus (dental)Mathematical economicsPure mathematicsStatisticsAlgorithmMedicine

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Publication Info

Year
1993
Type
article
Volume
35
Issue
4
Pages
551-566
Citations
936
Access
Closed

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G. W. Stewart (1993). On the Early History of the Singular Value Decomposition. SIAM Review , 35 (4) , 551-566. https://doi.org/10.1137/1035134

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DOI
10.1137/1035134