TY - CHAP
A1 - Garloff, Jürgen
A1 - Hamadneh, Tareq
T1 - Convergence and inclusion isotonicity of the tensorial rational Bernstein form
T2 - Scientific Computing, Computer Arithmetic, and Validated Numerics, 16th International Symposium, SCAN 2014, Würzburg, Germany, September 21-26, 2014, (Lecture Notes in Computer Science ; 9553)
N2 - 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.
KW - Bernstein polynomial
KW - Rational function
KW - Range bounding
Y1 - 2016
SN - 978-3-319-31768-7
U6 - http://dx.doi.org/10.1007/978-3-319-31769-4
N1 - Volltextzugriff für Angehörige der Hochschule Konstanz möglich.
SP - 171
EP - 179
PB - Springer
CY - Cham
ER -