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Zbl 0548.90058
Fletcher, R.
Methods for nonlinear constraints. (English)
[A] Nonlinear optimization, Proc. NATO Adv. Res. Inst., Cambridge/Engl. 1981, NATO Conf. Ser., Ser. II, 185-211 (1982).

[For the entire collection see Zbl 0541.00004.] \par A brief description of various types of methods for solving nonlinear programming problems is given. Each of these types is assessed in regard to efficiency and reliability, both in practice and in regard to the convergence properties of the method. Special attention is given to the use of an exact $\ell\sb 1$ penalty function, and a method based on the sequential solution of $\ell\sb 1$ quadratic programming problems.

MSC 2000:: *90C30 Nonlinear programming
49M37 Methods of nonlinear programming type
65K05 Mathematical programming (numerical methods)
90-02 Research monographs (optimization)
90C20 Quadratic programming

Keywords: penalty functions; survey; efficiency; reliability; convergence; sequential solution

Citations: Zbl 0541.00004

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