Quasi-Newton Methods, Motivation and Theory
Open Access
- 1 January 1977
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Review
- Vol. 19 (1) , 46-89
- https://doi.org/10.1137/1019005
Abstract
International audienceThis paper is an attempt to motivate and justify quasi-Newton methods as useful modifications of Newton's method for general and gradient nonlinear systems of equations. References are given to ample numerical justification; here we give an overview of many of the important theoretical results and each is accompanied by sufficient discussion to make the results and hence the methods plausibleKeywords
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