Yuan, Yaxiang From quasi-Newton methods to non-quasi-Newton methods. (English) Zbl 1052.90630 Prog. Nat. Sci. 7, No. 1, 14-23 (1997). From the text: Quasi-Newton methods are a class of methods that do not use the second-order derivatives, possessing some “quasi-Newton” properties. These methods converge superlinearly and perform very well in practice. Quasi-Newton methods are the main methods for solving nonlinear optimization problems. In the following we give a review of some of the important results of quasi-Newton methods and some recent development including our efforts in introducing and developing the non-quasi-Newton techniques. MSC: 90C53 Methods of quasi-Newton type PDFBibTeX XMLCite \textit{Y. Yuan}, Prog. Nat. Sci. 7, No. 1, 14--23 (1997; Zbl 1052.90630)