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Optimization of mechanical systems: On non-linear first-order approximation with an additive convex term. (English) Zbl 0878.65048
The authors develop an approximation technique for gradient based approximation methods of mathematical programming. The new method uses an additive convex term for each conventional approximating function. Numerical examples state that the approximation with a convex term can be employed efficiently on problems that tend to yield highly oscillating sequences of approximate solutions.

MSC:
65K05 Numerical mathematical programming methods
90C30 Nonlinear programming
70F99 Dynamics of a system of particles, including celestial mechanics
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