MINIMAL APPROXIMATE HESSIANS AND OPTIMIZATION

Hong-Xu Li

Abstract


In this paper, a new type of definition and some calculus rules of minimal (weak) approximate Hessian are presented. And by using a generalized Taylor's expansion in term of minimal weak approximate Hessian, some new second-order necessary and su±cient conditions for convex composite minimization problems are given.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)

(51767) 7 Kyungnamdaehak-ro, Masanhappo-gu, Changwon-si, Gyeongsangnam-do, Republic of Korea