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On the Walach-Zeben Multivariable Positivity Test

机译:关于Walach-Zeben多变量积极性检验

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摘要

A test for the positivity of real multivariable polynomials on box domains is discussed. The case of unbounded domains is examined. The restriction to box domains is dispensed with entirely. A treatment which extends the scope of the test is prevented. The case of unbounded domains is clarified. It is shown that the test actually tests for strong positivity, i.e., for the existence of positive lower bounds.

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