DocumentCode
185228
Title
Quadratic image of a ball: Towards efficient description of the boundary
Author
Polyak, Boris ; Shcherbakov, Pavel ; Khlebnikov, Mikhail
Author_Institution
Lab. of Adaptive & Robust Control Syst., Inst. of Control Sci., Moscow, Russia
fYear
2014
fDate
17-19 Oct. 2014
Firstpage
105
Lastpage
110
Abstract
We propose a simple efficient machinery for computing “nearly exact” boundary of the image of euclidean ball under multidimensional quadratic mapping. It is based on necessary conditions for a point to be mapped to the boundary. Several special cases are considered, the results of numerical simulations are presented, in particular, as applied to multiobjective optimization and Pareto set discovery.
Keywords
Pareto optimisation; computational geometry; set theory; Euclidean ball image; Pareto set discovery; ball quadratic image; boundary description; multidimensional quadratic mapping; multiobjective optimization; numerical simulation; Approximation methods; Eigenvalues and eigenfunctions; Equations; Generators; Symmetric matrices; Transmission line matrix methods; Vectors; Convexity; Euclidean ball; Necessary conditions; Pareto front; Quadratic mappings;
fLanguage
English
Publisher
ieee
Conference_Titel
System Theory, Control and Computing (ICSTCC), 2014 18th International Conference
Conference_Location
Sinaia
Type
conf
DOI
10.1109/ICSTCC.2014.6982399
Filename
6982399
Link To Document