Expressions are multilinear when variable occurrences are linear and products have factors using different variables. We demonstrate that mul- tilinear expressions are either constant or have never a local minimum or a local maximum. Therefore the interval of multilinear expressions may be computed precisely studying their values at the bounds of the variables therein. We then propose a technique for the interval analysis of generic expressions that transforms them into multilinear ones and compute the interval of the latters.

The Interval Analysis of Multilinear Expressions

LANEVE, COSIMO;LASCU, TUDOR ALEXANDRU;SORDONI, VANIA
2010

Abstract

Expressions are multilinear when variable occurrences are linear and products have factors using different variables. We demonstrate that mul- tilinear expressions are either constant or have never a local minimum or a local maximum. Therefore the interval of multilinear expressions may be computed precisely studying their values at the bounds of the variables therein. We then propose a technique for the interval analysis of generic expressions that transforms them into multilinear ones and compute the interval of the latters.
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C. Laneve; T. Lascu; V. Sordoni
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/95950
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