Monotonically positive matrices

DOI10.1016/j.laa.2015.08.002zbMath1322.62147OpenAlexW1172650136MaRDI QIDQ745213

Anwa Zhou, Jin Yan Fan

Publication date: 13 October 2015

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2015.08.002

zbMATH Keywords

order statisticssemidefinite algorithmtruncated moment problemmonotonically positive matrices

Mathematics Subject Classification ID

Factorization of matrices (15A23) Order statistics; empirical distribution functions (62G30) Semidefinite programming (90C22) Positive matrices and their generalizations; cones of matrices (15B48)

Uses Software

• SeDuMi
• GloptiPoly

Cites Work

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• 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
• The \(\mathcal A\)-truncated \(K\)-moment problem
• A semidefinite approach for truncated \(K\)-moment problems
• Certifying convergence of Lasserre's hierarchy via flat truncation
• Global Optimization with Polynomials and the Problem of Moments
• GloptiPoly 3: moments, optimization and semidefinite programming
• Order Statistics
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• Detecting Global Optimality and Extracting Solutions in GloptiPoly

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