On the Use of the SYMMBK Algorithm for Computing Negative Curvature Directions Within Newton–Krylov Methods
Giovanni Fasano,
Christian Piermarini,
Massimo Roma
Abstract:In this paper, we consider the issue of computing negative curvature directions, for nonconvex functions, within Newton-Krylov methods for large scale unconstrained optimization. This issue has been widely investigated in the literature, and different approaches have been proposed. We focus on the well known SYMMBK method proposed for solving large scale symmetric possibly indefinite linear systems [3,5,7,20], and show how to exploit it to yield an effective negative curvature direction. The distinguishing fea… Show more
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