next up previous
Next: The Trust Region Radius Up: Keywords Previous: Controlling the Penalty Parameter

The Trust Region

keywords:

INFINITY-NORM-TRUST-REGION-USED
TWO-NORM-TRUST-REGION-USED

Each iteration of LANCELOT involves finding an approximation to the optimium value of a suitable quadratic model  of the merit function within a suitably shaped region surrounding the current iterate. This region is known as the trust region. The user may choose between a ``box''  shaped, infinity norm region, which is specified by the keyword INFINITY-NORM-TRUST-REGION-USED and a ``spherical'' shaped region, which arises when the TWO-NORM-TRUST-REGION-USED keyword is used. The default is for

INFINITY-NORM-TRUST-REGION-USED
to be specified.