Handelman’s Positivstellensatz for polynomial matrices positive definite on polyhedra

Author:

Lê Công-Trình,Dư Thị-Hòa-Bình

Funder

National Foundation for Science and Technology Development

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Theoretical Computer Science,Analysis

Reference16 articles.

1. Cimpric̆, J.: Strict Positivstellensätze for matrix polynomials with scalar constraints. Linear Algebra Appl. 434(8), 1879–1883 (2011)

2. Cimpric̆, J.: Real algebraic geometry for matrices over commutative rings. J. Algebra 359, 89–103 (2012)

3. Cimpric̆, J., Zalar, A.: Moment problems for operator polynomials. J. Math. Anal. Appl. 401(1), 307–316 (2013)

4. Handelman, D.: Representing polynomials by positive linear functions on compact convex polyhedra. Pac. J. Math. 132, 35–62 (1988)

5. Henrion, D., Lasserre, J., Loefberg, J.: GloptiPoly 3: Moments, Optimization and Semidefinite Programming. http://homepages.laas.fr/henrion/software/gloptipoly3/

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