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We discuss several applications of the polynomials associated with matrices of Hankel structure. These are the problem of localization of zeros of a univariate polynomial, rational interpolation problem, and the problem of systematic errors detection in the data set. Some results originated by Jacobi are modernized with constructive computational procedures.

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Hankel Polynomials and Their Zeros

  • 会议论文

  • 发表日期：

    2026年

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  • Alexei Uteshev,
  • Elizaveta Kalinina,
  • Marina Goncharova

摘要

We discuss several applications of the polynomials associated with matrices of Hankel structure. These are the problem of localization of zeros of a univariate polynomial, rational interpolation problem, and the problem of systematic errors detection in the data set. Some results originated by Jacobi are modernized with constructive computational procedures.