Partially positive matrices

DOI10.1007/s11425-014-4959-zzbMath1327.15070OpenAlexW1999451781MaRDI QIDQ892772

Anwa Zhou, Jin Yan Fan

Publication date: 12 November 2015

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-014-4959-z

zbMATH Keywords

completely positive matrices\(\mathcal{A}\)-truncated \(K\)-moment problem, semidefinite algorithmpartially positive matrices

Mathematics Subject Classification ID

Factorization of matrices (15A23) Semidefinite programming (90C22) Positive matrices and their generalizations; cones of matrices (15B48)

Uses Software

• SeDuMi
• GloptiPoly

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• New semidefinite programming relaxations for box constrained quadratic program
• The automorphism group of a completely positive cone and its Lie algebra
• Optimality conditions and finite convergence of Lasserre's hierarchy
• The truncated moment problem via homogenization and flat extensions
• On the computational complexity of membership problems for the completely positive cone and its dual
• The \(\mathcal A\)-truncated \(K\)-moment problem
• Approximation algorithms for indefinite complex quadratic maximization problems
• Interiors of completely positive cones
• A semidefinite approach for truncated \(K\)-moment problems
• Certifying convergence of Lasserre's hierarchy via flat truncation
• The CP-Matrix Completion Problem
• GloptiPoly 3: moments, optimization and semidefinite programming
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• Detecting Global Optimality and Extracting Solutions in GloptiPoly
• On copositive programming and standard quadratic optimization problems

This page was built for publication: Partially positive matrices