@Article{JCM-24-665,
author = {},
title = {A Generalized Quasi-Newton Equation and Computational Experience},
journal = {Journal of Computational Mathematics},
year = {2006},
volume = {24},
number = {5},
pages = {665--674},
abstract = {<p style="text-align: justify;">The quasi-Newton equation has played a central role in the quasi-Newton methods for solving systems of nonlinear equations and/or unconstrained optimization problems. Instead, Pan suggested a new equation, and showed that it is of the second order while the traditional of the first order, in certain approximation sense [12]. In this paper, we make a generalization of the two equations to include them as special cases. The generalized equation is analyzed, and new updates are derived from it. A DFP-like new update outperformed the traditional DFP update in computational experiments on a set of standard test problems.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8782.html}
}