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Optimization of Polynomial Functions

Published online by Cambridge University Press:  20 November 2018

M. Marshall
M. Marshall*
Affiliation:
Algebra and Logic Research Unit University of Saskatchewan Saskatoon, Saskatchewan S7N 5E6
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Abstract

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This paper develops a refinement of Lasserre's algorithm for optimizing a polynomial on a basic closed semialgebraic set via semidefinite programming and addresses an open question concerning the duality gap. It is shown that, under certain natural stability assumptions, the problem of optimization on a basic closed set reduces to the compact case.

Keywords

14P1046L0590C22
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 46 , Issue 4 , 01 December 2003 , pp. 575 - 587
Copyright
Copyright © Canadian Mathematical Society 2003

References

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