Completeness of the WDS method in Checking Positivity of Integral Forms

Details Completeness of the WDS method in Checking Positivity of Integral Forms Completeness of the WDS method in Checking Positivity of Integral Forms

2009-12-09

arxiv.org/abs/0912.1649v1

Computer Science

Symbolic Computation

9 pages

Scientific paper

Examples show that integral forms can be efficiently proved positive semidefinite by the WDS method, but it was unknown that how many steps of substitutions are needed, or furthermore, which integral forms is this method applicable for. In this paper, we give upper bounds of step numbers of WDS required in proving that an integral form is positive definite, positive semidefinite, or not positive semidefinite, thus deducing that the WDS method is complete.

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