The \(K\)-moment problem with densities

DOI10.1007/s10107-007-0118-4zbMath1216.90065OpenAlexW2002274440MaRDI QIDQ959945

Jean-Bernard Lasserre

Publication date: 16 December 2008

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10107-007-0118-4

zbMATH Keywords

semidefinite programmingrelaxationsproblem of moments

Mathematics Subject Classification ID

Semidefinite programming (90C22) Convex programming (90C25) Method of moments applied to problems in optics and electromagnetic theory (78M05)

Cites Work

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• Exponentially bounded positive definite functions
• The \(K\)-moment problem for compact semi-algebraic sets
• Global optimization of rational functions: a semidefinite programming approach
• Quasi-analytic vectors
• Global Optimization with Polynomials and the Problem of Moments
• Distinguished representations of strictly positive polynomials
• On the relation between the multidimensional moment problem and the one-dimensional moment problem.
• The truncated complex $K$-moment problem
• On computing rational Gauss-Chebyshev quadrature formulas

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