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Approximating Positive Polynomials Using Sums of Squares

Published online by Cambridge University Press:  20 November 2018

M. Marshall
M. Marshall*
Affiliation:
Department of Computer Science University of Saskatchewan Saskatoon, Saskatchewan S7N 5E6, e-mail: marshall@math.usask.ca
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Abstract

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The paper considers the relationship between positive polynomials, sums of squares and the multi-dimensional moment problem in the general context of basic closed semi-algebraic sets in real $n$-space. The emphasis is on the non-compact case and on quadratic module representations as opposed to quadratic preordering presentations. The paper clarifies the relationship between known results on the algebraic side and on the functional-analytic side and extends these results in a variety of ways.

Keywords

14P1044A60
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 46 , Issue 3 , 01 September 2003 , pp. 400 - 418
Copyright
Copyright © Canadian Mathematical Society 2003

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