Title
Testing pseudoconvexity via interval computation.
Abstract
We study the problem of checking pseudoconvexity of a twice differentiable function on an interval domain. Based on several characterizations of pseudoconvexity of a real function, we propose sufficient conditions for verifying pseudoconvexity on a domain formed by a Cartesian product of real intervals. We carried out numerical experiments to show which methods perform well from two perspectives—the computational complexity and effectiveness of recognizing pseudoconvexity.
Year
DOI
Venue
2018
https://doi.org/10.1007/s10898-017-0537-6
J. Global Optimization
Keywords
Field
DocType
Global optimization,Interval computation,Pseudoconvexity
Mathematical optimization,Global optimization,Pseudoconvexity,Mathematical analysis,Cartesian product,Differentiable function,Interval arithmetic,Real-valued function,Mathematics,Computational complexity theory
Journal
Volume
Issue
ISSN
71
3
0925-5001
Citations 
PageRank 
References 
1
0.36
10
Authors
1
Name
Order
Citations
PageRank
Milan Hladík126836.33