Title :
Support Functionals of Convex Function
Author :
Huang, Jinqiu ; Chen, Shaobai
Author_Institution :
Dept. of Electron. Sci., Huizhou Univ., Huizhou, China
Abstract :
This paper proves an existence theorem of support functional for the convex function in the linear space and establishes the numerical ranges of all support functionals on a support point. It presents a necessary and sufficient condition that the support functional on a support point is unique.
Keywords :
convex programming; functional analysis; set theory; convex function; linear space; necessary condition; sufficient condition; support functional theorem; Algebra; Control engineering; Convex functions; Optimization; Presses; Sufficient conditions; System-on-a-chip; convex function; numerical range; support functional;
Conference_Titel :
Electrical and Control Engineering (ICECE), 2010 International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-6880-5
DOI :
10.1109/iCECE.2010.541
