A linear function is both convex and concave. f(x)=|x|f(x)=|x| is a convex function. f(x)=1xf(x)=1x is a convex function.TheoremLet f1,f2,...,fk:Rn→Rf1,f2,...,fk:Rn→R be convex functions. Consider the function f(x)=∑j=1kαjfj(x)f(x)=∑j=1kαjfj(x) ...
Convexandconcavefunctions 2.5.Convex and concave functions Let f be a real-valued function f:S→R.In what follows,we assume that S⊆R n is a convex set.The function f is convex on a set S if∀x1,x2∈S,∀λ∈[0,1]such thatλx1+(1−λ)x2∈S,f(λx1+(1−λ)x2)≤...
网络凹凸函数 网络释义 1. 凹凸函数 伪凹函数,pseudoconcave... ... ) upper convex function 上凹函数 )convex and concave functions凹凸函数... www.dictall.com|基于 1 个网页
This chapter introduces convex and concave functions defined on convex sets in Rn and gives some of their basic properties and provides some fundamental theorems involving these functions. These theorems are very important in deriving optimality conditions for nonlinear programming problems and developing ...
[Convex Optimization Exercise -1.1]: Convexity and Concavity (以始为终) zdr0 数学话题下的优秀答主 9 人赞同了该文章 目录 收起 Question 1: Convex, Concave, Quasi-convex, and Quasi-concave Functions Solutions for Question 1 Question 2: Perspective of a Function Solution for Question...
A function f:R^n \to R is logarithmically concave or log-concave if f(x)>0,\forall x\in dom f and \log f is concave,for a log-concave function f,we have f(\theta x+(1-\theta)y)\geq f(x)^\theta f(y)^{1-\theta},\forall x,y\in dom f,\theta \in [0,1] ...
Quasiconvex and Quasiconcave functions - Let $f:S rightarrow mathbb{R}$ where $S subset mathbb{R}^n$ is a non-empty convex set. The function f is said to be quasiconvex if for each $x_1,x_2 in S$, we have $fleft ( lambda x_1+left ( 1-lambda right )x_2 ri
将“concave and convex functions"自动翻译成 匈牙利文 konkavi és konvex funkciók Glosbe Translate 错误 Google Translate 添加示例 在上下文、翻译记忆库中将“concave and convex functions"翻译成 匈牙利文 变形干 匹配词 We extendedandgeneralized the Hermite-Hadamard inequalityandthe concept ofconvex/concave ...
Concave and convex functions 来自 morebooks.de 喜欢 0 阅读量: 18 作者: Andrew Owusu-Hemeng 摘要: In recent years, convex optimization has become a computational tool of central importance in mathematics and economics, thanks to its ability to solve very large, practical mathematical problems ...
1) convex and concave functions 凸函数和凹函数 2) E-convex function E-凸函数 1. Strong E-convex set,strongE-convex functionand strong E-convex programming; 强E-凸集,强E-凸函数和强E-凸规划 2. E-convex functionis the generation of convex function,i. ...