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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Pérez, R., Lopes, V.L.R. Recent Applications and Numerical Implementation of Quasi-Newton Methods for Solving Nonlinear Systems of Equations. Numerical Algorithms 35, 261–285 (2004). https://doi.org/10.1023/B:NUMA.0000021762.83420.40
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DOI: https://doi.org/10.1023/B:NUMA.0000021762.83420.40