54 citations · 155 across the 71 of their papers we have counts for
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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…
math.OC2009
Regularization Methods for SDP Relaxations in Large Scale Polynomial Optimization
Jiawang Nie, Li Wang
We study how to solve semidefinite programming relaxations for large scale polynomial optimization. When interior-point methods are used, typically only small or moderately large p…
math.OC2009
Polynomial Matrix Inequality and Semidefinite Representation
Jiawang Nie
Consider a convex set S defined by a matrix inequality of polynomials or rational functions over a domain. The set S is called semidefinite programming (SDP) representable or just…