@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 = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8782.html} }