Zero-flee regions for a rational function with applications

John Jones, Bruno Welfert

Research output: Contribution to journalArticlepeer-review


In this paper, we study a rational function which plays an important role in several problems of interest (eigenvalue problems, linear control theory, ... ). Our main interest is to determine zero-free regions. We also derive upper and lower bounds for this function.

Original languageEnglish (US)
Pages (from-to)265-289
Number of pages25
JournalAdvances in Computational Mathematics
Issue number1
StatePublished - 1995


  • 12D10
  • 30C15
  • 65F30
  • Rational interpolation
  • zero-free regions
  • zeros and poles

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics


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