Open AccessPoint-dependent Lipschitz constants in univariate Lipschitz multiplicative programming
Author(s) -
Oleg Khamisov
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/734/1/012096
Subject(s) - lipschitz continuity , multiplicative function , constant (computer programming) , univariate , point (geometry) , mathematics , mathematical analysis , computer science , statistics , geometry , multivariate statistics , programming language
A concept of a point-dependent Lipschitz constant is suggested. This concept is combined with Piyavskii’s algorithm. Technical details of constructing the point-dependent Lipschitz constant are described. Preliminary examples showing the effectiveness of the introduced concept are given.