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Guaranteed affine lower bound functions for multivariate polynomials
Author(s) -
Garloff Jürgen,
Smith Andrew P.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700501
Subject(s) - rounding , affine transformation , multivariate statistics , upper and lower bounds , mathematics , interval (graph theory) , discrete mathematics , combinatorics , pure mathematics , statistics , computer science , mathematical analysis , operating system
The construction of affine lower bound functions for multivariate polynomials based on Bernstein polynomials is presented. These bound functions are guaranteed also in the presence of rounding errors and (interval) data uncertainties. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)