This solver solves univariate polynomial conic optimizaiton via its dual, this is moment conic optimization in Chebyshev basis. The solver uses a type of non-symmetric homogeneous self-dual predictor-corrector interior point method to solve the moment conic optimization.
The solver needs drsolve package to be in the path. "drsolve" is a matlab package that solves Hankel/Toeplitz or Hankel+Toeplitz systems in a stable and fast way.