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Non-negative Polynomials, Sums of Squares & The Moment Problem

Bhardwaj, Abhishek

Description

This thesis studies polynomial optimization, that is, the problem of minimizing the value of a polynomial over a semi-algebraic set. Such polynomial optimization problems arise in a wide variety of contexts, both in mathematics, and more generally in science and engineering. In the first part of this thesis, we study a polynomial optimization problem which arises when solving the separability problem in Quantum Information Theory. Our approach is via sums of squares decompositions for...[Show more]

CollectionsOpen Access Theses
Date published: 2020
Type: Thesis (PhD)
URI: http://hdl.handle.net/1885/206360
DOI: 10.25911/5f1ead734c341

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