@Article{JCM-13-95, author = {Yuan , Ya-Xiang and Byrd , Richard H.}, title = {Non-Quasi-Newton Updates for Unconstrained Optimization}, journal = {Journal of Computational Mathematics}, year = {1995}, volume = {13}, number = {2}, pages = {95--107}, abstract = {

In this report we present some new numerical methods for unconstrained optimization. These methods apply update formulae that do not satisfy the quasi-Newton equation. We derive these new formulae by considering different techniques of approximating the objective function. Theoretical analyses are given to show the advantages of using non-quasi-Newton updates. Under mild conditions we prove that our new update formulae preserve global convergence properties. Numerical results are also presented.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9253.html} }