TY - JOUR U1 - Zeitschriftenartikel, wissenschaftlich - begutachtet (reviewed) A1 - Titi, Jihad A1 - Garloff, Jürgen T1 - Bounds for the Range of a Complex Polynomial over a Rectangular Region JF - Journal of Computational and Applied Mathematics N2 - Matrix methods for the computation of bounds for the range of a complex polynomial and its modulus over a rectangular region in the complex plane are presented. The approach relies on the expansion of the given polynomial into Bernstein polynomials. The results are extended to multivariate complex polynomials and rational functions. KW - Complex interval KW - Complex polynomial KW - Enclosure of the range KW - Bernstein polynomial KW - Multivariate complex rational function Y1 - 2021 UN - https://nbn-resolving.org/urn:nbn:de:bsz:kon4-opus4-29497 SN - 0377-0427 SS - 0377-0427 U6 - https://doi.org/10.1016/j.cam.2020.113377 DO - https://doi.org/10.1016/j.cam.2020.113377 VL - 391 SP - 18 S1 - 18 PB - Elsevier ER -