On Minimizing the Sum of a Convex Function and a Concave Function

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2602 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2602 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/2602 archive 351 disk0/00/00/25/49 2016-01-15 01:55:20 2021-08-27 17:12:09 2016-01-15 01:55:20 monograph show 2 Polyakova L.N. On Minimizing the Sum of a Convex Function and a Concave Function pub iis_met prog_sds quasidifferentiable functions, convex functions, concave functions, epsilon-steepest-descent methods We consider here the problem of minimizing a particular subclass of quasidifferentiable functions: those which may be represented as the sum of a convex function and a concave function. It is shown that in an n-dimensional space this problem is equivalent to the problem of minimizing a concave function on a convex set. A successive approximations method is suggested; this makes use-of some of the principles of epsilon-steepest-descent-type approaches. 1984-06 published CP-84-028 CP-84-028 public collaborative_paper IIASA, Laxenburg, Austria 13 FALSE info:eu-repo/semantics/book