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A derivative free frame based method for minimizing C 1 and nonsmooth functions is described. A 'black-box' function is assumed with gradients being unavailable. The use of frames allows gradient estimates to be formed. At each iteration a ray search is performed either along a direct search quasi-Newton direction, or along the ray through the best frame point. The use of randomly oriented frames and random perturbations is examined, the latter yielding a convergence proof on non-smoothdoi:10.21914/anziamj.v48i0.95 fatcat:wpuxigkmhfaefol4f4inoy74ry