Open Collections

UBC Undergraduate Research

Convexity of the Proximal Average Johnstone, Jennifer

Abstract

The proximal average operator is recognized for its ability to transform two convex functions into another convex function. However, we prove with examples that the proximal average operator does have limitations, with respect to convexity. We also look at the importance of [0; 1] and describe an idea of how to plot the proximal average of two convex functions more efficiently.

Item Metadata

Title
Convexity of the Proximal Average
Creator
Johnstone, Jennifer
Date Issued
2008
Description
The proximal average operator is recognized for its ability to transform two convex functions into another convex function. However, we prove with examples that the proximal average operator does have limitations, with respect to convexity. We also look at the importance of [0; 1] and describe an idea of how to plot the proximal average of two convex functions more efficiently.
Genre
Graduating Project
Type
Text
Language
eng
Series
University of British Columbia. COSC 449
Date Available
2010-07-30
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0052226
URI
http://hdl.handle.net/2429/27048
Affiliation
Arts and Sciences, Irving K. Barber School of (Okanagan); Computer Science, Mathematics, Physics and Statistics, Department of (Okanagan)
Campus
UBCO
Peer Review Status
Unreviewed
Scholarly Level
Undergraduate
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository
DSpace

Item Media

Item Citations and Data

Rights

Attribution-NonCommercial-NoDerivatives 4.0 International