On the functional form of convex underestimators for twice continuously differentiable functions

被引：0
|
作者：
Christodoulos A. Floudas
Vladik Kreinovich
机构：
[1] Princeton University,Department of Chemical Engineering
[2] University of Texas at El Paso,Department of Computer Science
来源：
Optimization Letters | 2007年 / 1卷
关键词：
Global Optimization; Differentiable Function; Global Optimization Method; MINLP Problem; Deterministic Global Optimization;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The optimal functional form of convex underestimators for general twice continuously differentiable functions is of major importance in deterministic global optimization. In this paper, we provide new theoretical results that address the classes of optimal functional forms for the convex underestimators. These are derived based on the properties of shift-invariance and sign- invariance.
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页码：187 / 192
页数：5
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