Bounding the Range of a Sum of Multivariate Rational Functions

Adm, Mohammad; Titi, Jihad; Elgayar, Ali; Garloff, Jürgen

dc.contributor.author	Adm, Mohammad
dc.contributor.author	Titi, Jihad
dc.contributor.author	Elgayar, Ali
dc.contributor.author	Garloff, Jürgen
dc.date.accessioned	2023-05-30T07:26:23Z
dc.date.available	2023-05-30T07:26:23Z
dc.date.issued	2023
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/8880
dc.description.abstract	Bounding the range of a sum of rational functions is an important task if, e.g., the global polynomial sum of ratios problem is solved by a branch and bound algorithm. In this paper, bounding methods are discussed which rely on the expansion of a multivariate polynomial into Bernstein polynomials.	en_US
dc.language.iso	en	en_US
dc.publisher	in M. Ceberio and V. Kreinovich (eds.), Decision Making under Uncertainty and Constraints, Studies in Systems, Decision and Control 217, Springer Nature	en_US
dc.subject	Multivariate rational function	en_US
dc.subject	Range enclosure	en_US
dc.subject	Bernstein polynomial	en_US
dc.title	Bounding the Range of a Sum of Multivariate Rational Functions	en_US
dc.type	Book chapter	en_US