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Polynomials compatible with a symmetric Loewner matrix

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Publication:686382
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DOI10.1016/0024-3795(93)90229-HzbMath0819.15017WikidataQ127173772 ScholiaQ127173772MaRDI QIDQ686382

Miroslav Fiedler, Zdeněk Vavřín

Publication date: 13 October 1993

Published in: Linear Algebra and its Applications (Search for Journal in Brave)


zbMATH Keywords

Hankel matrixcompatibilityCauchy matricessymmetric Loewner matrix


Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10)


Related Items

Confluent Cauchy and Cauchy-Vandermonde matrices, On algebras of symmetric Loewner matrices



Cites Work

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  • Hankel and Loewner matrices
  • Algebraic methods for Toeplitz-like matrices and operators
  • A unified approach to Loewner and Hankel matrices
  • Polynomials and Hankel matrices
  • Multiplication of diagonal transforms of Loewner matrices
  • A subclass of symmetric Loewner matrices
  • Expressing a polynomial as the characteristic polynomial of a symmetric matrix
  • On the Scalar Rational Interpolation Problem
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