Semidefinite programming relaxations of polynomial optimization problems of commuting variables with moment constraints, parametric and bilevel variants.

## Posts tagged: Semidefinite programming

## Relaxations of parametric and bilevel polynomial optimization problems

## Semidefinite programming in Python

A brief overview of SDP solvers and tools in Python

## Optimal randomness generation from entangled quantum states

Optimal randomness generation from entangled quantum states: computational appendix to arXiv:1505.03837.

## Detecting a rank loop in the NPA hierarchy

It is possible to detect a rank loop in the hierarchy of SDP relaxations of polynomial optimization problems, but an arbitrary-precision SDP solver is recommended.

## SDPA with different compilers and linear algebra libraries

GCC, ICC, PGI compilers with BLAS/LAPACK, MKL, and ACML are compared in solving an SDP with SDPA.

## Second-order semidefinite relaxation of a commutative polynomial optimization problem

Second-order semidefinite relaxation of a constrained commutative polynomial optimization problem using PICOS in Python, exporting to SDPA.