A Note on Classes of Structured Matrices with Elliptical Type Numerical Range

Czechoslovak Mathematical Journal (2021)Cite this article

Abstract

We identify new classes of structured matrices whose numerical range is of the elliptical type, that is, an elliptical disk or the convex hull of elliptical disks.

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Author information

Affiliations

  1. Mathematics Center of the University of Coimbra, Mathematics Department, University of Coimbra, 3001-454, Coimbra, Portugal

    Natália Bebiano

  2. Center for Functional Analysis, Linear Structures and Applications, Faculty of Economics, University of Porto, Rua Dr. Roberto Frias, 4200-464, Porto, Portugal

    Susana Furtado

Authors
  1. Natália Bebiano
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  2. Susana Furtado
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Corresponding author

Correspondence to Susana Furtado.

Additional information

This work was partially supported by project UID/MAT/00324/2019 and by project UID/MAT/04721/2020.

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Bebiano, N., Furtado, S. A Note on Classes of Structured Matrices with Elliptical Type Numerical Range. Czech Math J (2021). https://doi.org/10.21136/CMJ.2021.0174-20

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Keywords

  • tridiagonal matrix
  • antitridiagonal matrix
  • elliptical disk
  • numerical range

MSC 2020

  • 15A21
  • 15A60