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Minimal height companion matrices for Euclid polynomials

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Publication:2319441
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DOI10.1007/s11786-018-0364-2zbMath1474.11069arXiv1712.04405OpenAlexW2771217056WikidataQ129544792 ScholiaQ129544792MaRDI QIDQ2319441

Eunice Y. S. Chan, Robert M. Corless

Publication date: 19 August 2019

Published in: Mathematics in Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.04405


zbMATH Keywords

companion matrixconditioningHessenberg matricesminimal heightBohemian eigenvaluesEuclid numbersEuclid polynomials


Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical computation of matrix norms, conditioning, scaling (65F35) Special sequences and polynomials (11B83) Matrix pencils (15A22)


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Cites Work

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  • On the numerical condition of polynomials in Bernstein form
  • Algebraic linearizations of matrix polynomials
  • The Polynomial Eigenvalue Problem is Well Conditioned for Random Inputs
  • Unimodal sequences show Lambert W is Bernstein
  • A new kind of companion matrix
  • A Graduate Introduction to Numerical Methods
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