Tikhonov泛函可分近似罚项的灵敏性分析  

Sensitivity analysis of separable approximate penalization in Tikhonov functional

作　　者：王雪娇[1] 季光明[1] 钱伟婷 

机构地区：[1]成都理工大学管理科学学院,成都610059

出　　处：《中国科技论文》2016年第5期524-526,共3页China Sciencepaper

基　　金：国家自然科学基金资助项目(11171046)

摘　　要：为了研究Tikhonov泛函可分近似罚项的灵敏性,根据光滑罚项近似Tikhonov泛函中不光滑罚项的研究,基于经典的Tikhonov泛函,在一定的假设条件下,利用可分Banach空间的p框架和序列Kadec-Klee性质(K-K性质)证明其可分近似罚项的灵敏性。结果表明可分近似泛函的最小值收敛于原泛函的最小值。In order to study the sensitivity of separable approximate penalization in Tikhonov functional,this paper accords to the study of smooth penalty approximate Tikhonov functional in terms of non-smooth penalty,based on the classic Tikhonov functional and certain assumptions,uses separable Banach space pframe and sequential Kadec-Klee property,prove its sensitivity of separable approximate penalty.The result shows that the minimum of separable approximate function convergences to the minimum of the original functional.

关 键 词：可分BANACH空间 p框架 序列Kadec-Klee性质 灵敏性 

分 类 号：O177[理学—数学]