The tracial moment problem and trace-optimization of polynomials

NCSOStools: a computer algebra system for symbolic and numerical computation with noncommutative polynomials

(2011) Kristijan Cafuta et al.   OPTIMIZATION METHODS & SOFTWARE

A numerical algorithm for block-diagonal decomposition of matrix $${*}$$ -algebras with application to semidefinite programming

(2010) Kazuo Murota et al.   JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS

A numerical algorithm for block-diagonal decomposition of matrix *-algebras with general irreducible components

(2010) Takanori Maehara et al.   JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS

A method for computing lowest eigenvalues of symmetric polynomial differential operators by semidefinite programming

(2010) Jaka Cimprič   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Convergent Relaxations of Polynomial Optimization Problems with Noncommuting Variables

(2010) S. Pironio et al.   SIAM JOURNAL ON OPTIMIZATION

Semidefinite programming and sums of hermitian squares of noncommutative polynomials

(2009) Igor Klep et al.   JOURNAL OF PURE AND APPLIED ALGEBRA

Regularization Methods for Semidefinite Programming

(2009) Jérôme Malick et al.   SIAM JOURNAL ON OPTIMIZATION

Sums of Hermitian Squares and the BMV Conjecture

(2008) Igor Klep et al.   JOURNAL OF STATISTICAL PHYSICS

Connes' embedding conjecture and sums of hermitian squares

(2007) Igor Klep et al.   ADVANCES IN MATHEMATICS