How ordinary elimination became Gaussian elimination

2009/07/31 by Joseph F. Grcar · 65 citations
Computer Science · Mathematics · Social Sciences · #Algebra over a field #Algorithm #Applied mathematics #Arithmetic #Calculus (dental) #Computational chemistry #Computer science #Euler's formula #Gauss #Gaussian #Gaussian elimination #Gauss–Seidel method #History and Theory of Mathematics #Mathematical analysis #Mathematics #Mathematics Education and Teaching Techniques #Notation #Numerical Methods and Algorithms #Physics #Pure mathematics #Sequence (biology)

paper · pdf · doi:10.1016/j.hm.2010.06.003

published in Historia Mathematica 38(2), 163-218 (Elsevier BV)

openalex publication_date 2010/09/29 · crossref created 2010/09/29 · crossref issued 2011/05/01 · crossref published 2011/05/01 · crossref published-print 2011/05/01 · crossref deposited 2021/11/10 · openalex created_date 2025/10/10 · crossref indexed 2026/06/13 · openalex updated_date 2026/08/05

Citations

• Gauss-Jordan Reduction: A Brief History
• ROUNDING-OFF ERRORS IN MATRIX PROCESSES
• History of Mechanical Computing Machinery
• Mathematics in Ancient Iraq: A Social History
• Numerical Analysis: Historical Developments in the 20th Century
• Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences
• Cauchy and the spectral theory of matrices
• William Jolly Duncan, 1894-1960
• IEEE Standard for Binary Floating-Point Arithmetic
• Note Sur Une Méthode de Résolution des équations Normales Provenant de L’Application de la MéThode des Moindres Carrés a un Système D’équations Linéaires en Nombre Inférieur a Celui des Inconnues. — Application de la Méthode a la Résolution D’un Système Defini D’éQuations LinéAires

Cited by

• Gaussian elimination [wikipedia]
• Michel Rolle [wikipedia]