Recent Applications and Numerical Implementation of Quasi-Newton Methods for Solving Nonlinear Systems of Equations: Theory and Practice in Optimization. Guest Editors: José Mario Martínez and Jin Yun Yuan

Author: Pérez Rosana   Lopes Véra Lucia Rocha  

Publisher: Springer Publishing Company

ISSN: 1017-1398

Source: Numerical Algorithms, Vol.35, Iss.2-4, 2004-04, pp. : 261-285

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Abstract

This paper presents a survey on recent applications of quasi-Newton methods to solve nonlinear systems of equations which appear in applied areas such as physics, biology, engineering, geophysics, chemistry and industry. It is also presented a comparative analysis of the performance of the ICUM (Inverse Column-Updating Method) and Broyden's method when applied to some of the problems mentioned above.

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