Revisiting two theorems of Curto and Fialkow on moment matrices

By Monique Laurent. 2005

101 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/afff056fad5ae9008e1b750bcd7ef470eff1f898

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In Algebra and Number Theory

1. L. Fialkow
2. R. Curto
3. Jean B. Lasserre
4. Monique Laurent

In Applied Mathematics

1. L. Fialkow
2. R. Curto
3. Jean B. Lasserre
4. Monique Laurent

In Mathematical Physics

1. L. Fialkow
2. R. Curto

Citations in the corpus

• A generalized flat extension theorem for moment matrices (2009, unknown): “We also point out the relevance of the flat extension theorem to polynomial optimization and to the problem of computing real roots to systems of polynomial equations.”
• Truncated K-moment problems in several variables (2005, methodology): “(ii) Corollary 1.4 implies an exact analogue for complex moment sequences. Added in Proof. After completing this paper we learned of recent related papersof Professor Monique Laurent ([Lau1], [Lau2], [Lau3]). In [Lau3, Theorem 1.2], Laurent gives an alternate proof of Corollary 2.6, using algebraic ”