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Software and Codes

Software

TSSOS

TSSOS is a Julia package for sparse polynomial optimization.

ManiSDP

ManiSDP aims to solve the low-rank linear semidefinite program (SDP) via manifold optimization. Here, low-rank means the SDP admits a low-rank optimal solution.

NCTSSOS

NCTSSOS is a Julia package for sparse noncommutative polynomial optimization.

SparseJSR

SparseJSR is a Julia package for computing joint spectral radii based on sparse SOS decompositions.

ChordalGraph

ChordalGraph is an extension of the Julia package Graphs to handle chordal graphs.

Codes and experimental material

Randomly generated sum-of-rational-functions optimization problems used in the paper Exploiting Sign Symmetries in Minimizing Sums of Rational Functions

RandSRFO

Randomly generated nc polynomials used in the paper Exploiting term sparsity in Noncommutative Polynomial Optimization

ramdonly generated nc polynomials

Random matrices and random control systems used in the paper SparseJSR: A Fast Algorithm to Compute Joint Spectral Radius via Sparse SOS Decompositions

random matrices for Table II
random control systems for Table III
random control systems for Table IV

Max-Cut instances used in the paper CS-TSSOS: Correlative and term sparsity for large-scale polynomial optimization

g20 g40 g60 g80 g100 g120 g140 g160 g180 g200

Randomly generated polynomials used in the paper TSSOS: A Moment-SOS Hierarchy That Exploits Term Sparsity

poly_type1: randomly generated polynomials of type I for unconstrained polynomial optimization
poly_type2: randomly generated polynomials of type II for unconstrained polynomial optimization
cpoly_type2: randomly generated polynomials of type II for constrained polynomial optimization

Bistability

Bistability is the code for the numerical experiments in the paper Bistability of Sequestration Networks.

Jie Wang (王杰)

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Codes and experimental material