Monotonic optimization: Problems and solution approaches

作     者：Tuy, H 

作者机构：Inst Math Hanoi 10000 Vietnam 

出 版 物：《SIAM JOURNAL ON OPTIMIZATION》 (工业与应用数学会最优化杂志)

年 卷 期：2000年第11卷第2期

页      面：464-494页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：monotonicity global optimization increasing functions normal sets polyblock approximation algorithms difference of increasing functions multiplicative programming polynomial programming nonconvex quadratic programming distance geometry 

摘      要：Problems of maximizing or minimizing monotonic functions of n variables under monotonic constraints are discussed. A general framework for monotonic optimization is presented in which a key role is given to a property analogous to the separation property of convex sets. The approach is applicable to a wide class of optimization problems, including optimization problems dealing with functions representable as differences of increasing functions (d.i. functions).