Convergence and Inclusion Isotonicity of the Tensorial Rational Bernstein Form

Publikationstyp: Beitrag zu einer Konferenz
Publikationsstatus: Published
URI (zitierfähiger Link): http://nbn-resolving.de/urn:nbn:de:bsz:352-0-386644
Autor/innen: Garloff, Jürgen; Hamadneh, Tareq
Erscheinungsjahr: 2016
Konferenz: SCAN 2014 : Scientific Computing, Computer Arithmetic, and Validated Numerics, 16th International Symposium, 21. Sep 2014 - 26. Sep 2014, Würzburg, Germany
Erschienen in: Scientific Computing, Computer Arithmetic, and Validated Numerics : 16th International Symposium, SCAN 2014 / Nehmeier, Marco; von Gudenberg, Jürgen Wolff; Tucker, Warwick (Hrsg.). - Cham : Springer, 2016. - (Lecture Notes in Computer Science ; 9553). - S. 171-179. - ISSN 0302-9743. - eISSN 1611-3349. - ISBN 978-3-319-31768-7
DOI (zitierfähiger Link): https://dx.doi.org/10.1007/978-3-319-31769-4_14
Zusammenfassung:
A method is investigated by which tight bounds on the range of a multivariate rational function over a box can be computed. The approach relies on the expansion of the numerator and denominator polynomials in Bernstein polynomials. Convergence of the bounds to the range with respect to degree elevation of the Bernstein expansion, to the width of the box and to subdivision are proven and the inclusion isotonicity of the related enclosure function is shown.
Fachgebiet (DDC): 510 Mathematik
Schlagwörter: Bernstein polynomial, rational function, range bounding
Link zur Lizenz: Deposit-Lizenz
Universitätsbibliographie: Ja

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GARLOFF, Jürgen, Tareq HAMADNEH, 2016. Convergence and Inclusion Isotonicity of the Tensorial Rational Bernstein Form. SCAN 2014 : Scientific Computing, Computer Arithmetic, and Validated Numerics, 16th International Symposium. Würzburg, Germany, 21. Sep 2014 - 26. Sep 2014. In: NEHMEIER, Marco, ed., Jürgen Wolff VON GUDENBERG, ed., Warwick TUCKER, ed.. Scientific Computing, Computer Arithmetic, and Validated Numerics : 16th International Symposium, SCAN 2014. SCAN 2014 : Scientific Computing, Computer Arithmetic, and Validated Numerics, 16th International Symposium. Würzburg, Germany, 21. Sep 2014 - 26. Sep 2014. Cham:Springer, pp. 171-179. ISSN 0302-9743. eISSN 1611-3349. ISBN 978-3-319-31768-7. Available under: doi: 10.1007/978-3-319-31769-4_14

@inproceedings{Garloff2016-04-09Conve-36705, title={Convergence and Inclusion Isotonicity of the Tensorial Rational Bernstein Form}, year={2016}, doi={10.1007/978-3-319-31769-4_14}, number={9553}, isbn={978-3-319-31768-7}, issn={0302-9743}, address={Cham}, publisher={Springer}, series={Lecture Notes in Computer Science}, booktitle={Scientific Computing, Computer Arithmetic, and Validated Numerics : 16th International Symposium, SCAN 2014}, pages={171--179}, editor={Nehmeier, Marco and von Gudenberg, Jürgen Wolff and Tucker, Warwick}, author={Garloff, Jürgen and Hamadneh, Tareq} }

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