Moment matrix: Difference between revisions
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In mathematics, a moment matrix is a special symmetric square [[matrix]] whose rows and columns are indexed by [[monomials |
In [[mathematics]], a '''moment matrix''' is a special symmetric square [[matrix]] whose rows and columns are indexed by [[monomial]]s. The entries of the matrix depend on the product of the indexing monomials only (cf. [[Hankel matrices]].) |
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The entries of the matrix depend on the product of the indexing monomials only. |
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Moment matricies play an important role in [[polynomial optimization]], since [[semidefinite]] moment matricies correspond to [[sums of squares]] of polynomials. |
Moment matricies play an important role in [[polynomial optimization]], since [[semidefinite]] moment matricies correspond to [[sums of squares]] of polynomials. |
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Revision as of 21:08, 3 May 2006
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In mathematics, a moment matrix is a special symmetric square matrix whose rows and columns are indexed by monomials. The entries of the matrix depend on the product of the indexing monomials only (cf. Hankel matrices.)
Moment matricies play an important role in polynomial optimization, since semidefinite moment matricies correspond to sums of squares of polynomials.