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Computing lower bounds for a polynomial using geometric programming

Presented by: 
MA Marshall University of Saskatchewan
Date: 
Wednesday 17th July 2013 - 15:00 to 15:30
Venue: 
INI Seminar Room 1
Abstract: 
We present a new algorithm for computing a new lower bound for a polynomial f in R}[X] by geometric programming. This bound is typically not as good as the lower bound obtained using Lasserre's algorithm but, on the other hand, the algorithm takes full advantage of sparsity of coefficients and it works in cases where the degree and/or number of variables is large, cases where Lasserre's algorithm breaks down. There is also variant of the algorithm which computes a lower bound for f on the semialgebraic set in real n-space defined by X_1^{2d}+\dots+X_n^{2d}
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons