Bohemian matricesA source of challenges

  1. Chan, Eunice Y. S. 1
  2. Corless, Robert M. 2
  3. Laureano González-Vega 3
  4. Sendra, J. Rafael 4
  5. Juana Sendra 3
  1. 1 Chinese University of Hong Kong
    info

    Chinese University of Hong Kong

    Sha Tin, Hong Kong

    ROR https://ror.org/00t33hh48

  2. 2 Western University, Canada
  3. 3 CUNEF Universidad
  4. 4 Universidad of Alcalá
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Book:
EACA 2022: XVII Encuentro de Álgebra Computacional y Aplicaciones
  1. Galindo Pastor, Carlos (coord.)
  2. Gimenez, Philippe (coord.)
  3. Hernando Carrillo, Fernando (coord.)
  4. Monserrat Delpalillo, Francisco José (coord.)
  5. Moyano-Fernández, Julio José (coord.)

Publisher: Servei de Comunicació i Publicacions ; Universitat Jaume I

ISBN: 978-84-19647-46-7

Year of publication: 2023

Pages: 59-62

Congress: Encuentro de Álgebra Computacional y Aplicaciones (17. 2022. Castelló de la Plana)

Type: Conference paper

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Abstract

A family of Bohemian matrices is a set of matrices where the entries are independently sampled from a finite set, usually of integers. Such families arise in many applications (e.g. compressed sensing) and the properties of matrices selected “at random"from such families are of practical and mathematical interest. Studying these matrices leads to many unanswered questions. In the abstract, we focus on two different problems: the study of some properties of a family of upper Hessenberg Toeplitz structured Bohemian matrices, and the analysis of generalized (inner) Bohemian inverses.

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