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Convergence properties of algorithms for nonlinear optimization. (English) Zbl 0624.90091
The paper reviews some of the most successful methods for unconstrained, constrained and non-differentiable optimization calculations. The author shows that practical experience and careful consideration of the ingredients of a calculation are vital to the development of successful algorithms. It seems that practical considerations provide the main new ideas and that subsequent theoretical studies yield improvement for the algorithms. The theoretical analysis however, is of prime importance for the understanding and structure of the subject concerned with general algorithms for non-linear optimization.
Reviewer: D.Cusmir

MSC:
90C30Nonlinear programming
65K05Mathematical programming (numerical methods)
49M37Methods of nonlinear programming type in calculus of variations
65K10Optimization techniques (numerical methods)
90-02Research monographs (optimization)