TY  - CHAP
U1  - Konferenzveröffentlichung
A1  - Titi, Jihad
A1  - Garloff, Jürgen
T1  - Enclosure of the Range of a Complex Polynomial Over a Complex Interval
T2  - SCAN 2018, The 18th International Symposium on Scientific Computing, Computer Arithmetic, and Verified Numerical Computations, 10 - 15 September 2018, Waseda University, Tokyo, Japan
KW  - Complex interval
KW  - Complex polynomial
KW  - Enclosure of the range
KW  - Bernstein polynomial
KW  - Multivariate complex polynomial
Y1  - 2018
U6  - https://nbn-resolving.org/urn:nbn:de:bsz:kon4-opus4-14627
UN  - https://nbn-resolving.org/urn:nbn:de:bsz:kon4-opus4-14627
SP  - 40
EP  - 41
S1  - 2
PB  - Waseda University
CY  - Tokyo, Japan
ER  - 
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
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  -