BIT Numerical Mathematics

, Volume 28, Issue 1, pp 80–87 | Cite as

Optimal centered forms

  • Eckart Baumann
Part II Numerical Mathematics


A simple expression for an “optimal” center of a centered form is presented. Among all possible centers within a given interval this center yields the greatest lower bound or the lowest upper bound of a centered form, respectively. It is also shown that one-sided isotonicity holds for such centered forms.

AMS Subject Classifications



interval arithmetic optimal centered form one-sided isotonicity global optimization 


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Copyright information

© BIT Foundations 1988

Authors and Affiliations

  • Eckart Baumann
    • 1
  1. 1.Institut für Angewandte Mathematik der Universität FreiburgFreiburg i. Br.West Germany

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