广西师范大学学报（自然科学版）2003，Vol.21Issue(4)：53-60,8.
使用二次和几何不等式导出交互熵问题
MINIMUM DISCRIMINATION INFORMATION PROBLEMS VIA QUADRATICAL AND ARITHMETIC GEOMETRIC INEQUALITIES
摘要
Abstract
Considers quadratic program problem and minimum discrimination information (MDI) problem with a set of quadratical inequality constraints and entropy inequality constraints of the density. The dual programs of two problems are derived by employing two simple inequalities ,namely quadratic inequality and arithmetic geometric inequality. Furthermore,the duality theorems and related Kuhn-Tucker conditions for the two pairs of the prime-dual programs are also established by the properties of two inequalities if and only if the equalities hold.关键词
二次不等式/几何不等式/Kuhn Tucker条件/二次规划/交互熵问题Key words
quadratic inequality/arithmetic geometric inequality/Kuhn-Tucker condition/duality theo-rem/entropy of the density分类
数理科学引用本文复制引用
朱德通..使用二次和几何不等式导出交互熵问题[J].广西师范大学学报（自然科学版）,2003,21(4):53-60,8.基金项目
National Science Foundation Grant of China (10071050) （10071050）
Science Foundation Grant of Shanghai Technical Sciences Committee (02ZA14070) （02ZA14070）
Science Foundation Grant of Shanghai Education Committee (02DK06). （02DK06）
