2008/12/15 by Monique Laurent, Laurent, Monique, Bernard Mourrain +1
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #Commutative Algebra (math.AC) #FOS: Computer and information sciences #FOS: Mathematics #Matrix Theory and Algorithms #Polynomial and algebraic computation #Symbolic Computation (cs.SC) #cs.SC #math.AC
paper · pdf · doi:10.48550/arxiv.0812.2563
arxiv created 2008/12/15 · openalex publication_date 2008/12/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
In this note we prove a generalization of the flat extension theorem of Curto and Fialkow for truncated moment matrices. It applies to moment matrices indexed by an arbitrary set of monomials and its border, assuming that this set is connected to 1. When formulated in a basis-free setting, this gives an equivalent result for truncated Hankel operators.