H. Tuy, Global minimization of a difference of two convex functions, Math. Programming Study 30 Z1987., 150᎐182.H. Tuy: Global Minimization of A Difference of Two Convex Functions, Math. Program. Studies 30 (1987) 150-182.H. Tuy. Global minimization of a difference of two convex ...
Difference of quasiconvex functionsQ-subdifferentialOptimality conditionsIn this note, we are concerned with an optimization problem (P) where the objective function is the difference of two quasiconvex functions. Using a suitable subdifferential introduced by Suzuki and Kuroiwa (Nonlinear Anal 74:1279–...
We provide a criterion giving a formula for the directional (or contingent) subdifferential of the difference of two convex functions. We even extend it to the difference of two approximately starshaped functions. Our analysis relies on a notion of approximate monotonicity for operators which is muc...
摘要: Biconvex and Difference of Convex functions (D.C.) problems are subclasses of the general C2nonlinear programming problems. However, they possess special structure and therefore are treated...DOI: 10.1007/978-1-4757-3040-1_6 年份: 1999 ...
The DC programming and its DC algorithm (DCA) address the problem of minimizing a function f = g h (with g , h being lower semicontinuous proper convex functions on R n ) on the whole space. Based on local optimality conditions and DC duality, DCA was successfully applied to a lot of...
In mathematics, the symmetric difference of two sets is the set of elements which are in one of the sets, but not in both. This operation is the set-theoretic kin of the exclusive disjunction (XOR operation) in Boolean logic. The logical operation exclusive disjunction, also called exclusive...
DifferenceOfConvex(DC)FunctionsandDCProgrammingSongcanChenOutline1.ABriefHistory2.DCFunctionsandtheirProperty3.Someexamples4.DCProgramming5.CaseStudy6.Ournextwork1.ABriefHistory•1964,HoangTuy,(incidentallyinhisconvexoptimizationpaper),•1979,J.F.Toland,Dualityformulation•1985,PhamDinhTao,DCAlgorithm•...
Difference Between Concave and Convex Lens Difference Between Linear and Nonlinear Equations Dot Product of Two VectorsFAQs on Difference Between NPN and PNP Transistor 1. Write Two Applications of Transistors? The applications of transistors lie hereunder: Transistor as an Amplifier: Transistors have the...
We present a fast and robust nonconvex optimization approach for Fuzzy C-Means (FCM) clustering model. Our approach is based on DC (Difference of Convex functions) programming and DCA (DC Algorithms) that have been successfully applied in various fields of applied sciences, including Machine Learn...
In this paper, we present necessary as well as sufficient conditions for a given feasible point to be a global minimizer of the difference of quadratic and convex functions subject to bounds on the variables. We show that the necessary conditions become necessary and sufficient for global minimizer...