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math.FA2019
Efficient evaluation of noncommutative polynomials using tensor and noncommutative Waring decompositions
Eric Evert, J. William Helton, Shiyuan Huang +1
This paper analyses a Waring type decomposition of a noncommuting (NC) polynomial with respect to the goal of evaluating efficiently on tuples of matrices. Such a decomposi…
math.FA2011★ 1 cited
A Semidefinite Approach for Truncated K-Moment Problems
J. William Helton, Jiawang Nie
A truncated moment sequence (tms) of degree d is a vector indexed by monomials whose degree is at most d. Let K be a semialgebraic set.The truncated K-moment problem (TKMP) is: whe…
math.FA2009
Positivity of Riesz Functionals and Solutions of Quadratic and Quartic Moment Problems
Lawrence Fialkow, Jiawang Nie
We employ positivity of Riesz functionals to establish representing measures (or approximate representing measures) for truncated multivariate moment sequences. For a truncated mom…