A new approach to the nonsingular cubic binary moment problem

TL;DR

This paper introduces a novel method for solving nonsingular cubic binary moment problems, leveraging recursive moment matrix techniques that could extend to higher-degree problems.

Contribution

It presents an alternative approach using recursively determinate moment matrices for nonsingular cubic binary moment problems, with potential applications to more complex cases.

Findings

Effective solution for nonsingular cubic binary moment problem

Use of recursive moment matrix techniques for rank-increasing extensions

Potential applicability to higher-degree truncated moment problems

Abstract

We present an alternative solution to nonsingular cubic moment problems, using techniques that are expected to be useful for higher-degree truncated moment problems. In particular, we apply the theory of recursively determinate moment matrices to deal with a case of rank-increasing moment matrix extensions.