Large scale unconstrained optimization. (English) Zbl 0881.65055

Duff, I. S. (ed.) et al., The state of the art in numerical analysis. Based on the proceedings of a conference organized by the Institute of Mathematics and its Applications (IMA), University of York, York, GB, April 1–4, 1996. Oxford: Clarendon Press. Inst. Math. Appl. Conf. Ser., New Ser. 63, 311-338 (1997).
Summary: This paper reviews advances in Newton, quasi-Newton and conjugate gradient methods for large scale optimization. It also describes several packages developed during the last ten years, and illustrates their performance on some practical problems. Much attention is given to the concept of partial separability which is gaining importance with the arrival of automatic differentiation tools and of optimization software that fully exploits its properties.
For the entire collection see [Zbl 0869.00046].


65K05 Numerical mathematical programming methods
65-02 Research exposition (monographs, survey articles) pertaining to numerical analysis
90C30 Nonlinear programming
90C06 Large-scale problems in mathematical programming
65Y15 Packaged methods for numerical algorithms