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A class of gradient unconstrained minimization algorithms with adaptive stepsize. (English) Zbl 0958.65072
The authors present a class of gradient algorithms with adaptive stepsize for the unconstrained minimization problem $f(x)\to \underset{x\in \mathbb{R}^n} {\text{minimum}}.$ The proposed class of algorithms comprises four algorithm: the first two incorporate techniques for the adaptation of a common stepsize for all coordinate directions and the other two allow an individual adaptive stepsize along each coordinate direction.
Numerical tests are given.

##### MSC:
 65K05 Numerical mathematical programming methods 90C30 Nonlinear programming
##### Software:
minpack; BRENT; OPTAC
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