@techreport{Titi2020Bound-52291,
  year={2020},
  series={Konstanzer Schriften in Mathematik},
  title={Bounds for the Range of a Complex Polynomial over a Rectangular Region},
  number={396},
  author={Titi, Jihad and Garloff, Jürgen},
  note={Wird erscheinen in: Journal of Computational and Applied Mathematics ; 2021}
}

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    <dcterms:abstract xml:lang="eng">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.</dcterms:abstract>
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