Bohemian matrices: A source of challenges

• Chan, Eunice Y. S. ^[1] ; Corless, Robert M. ^[2] ; Laureano González-Vega ^[3] ; Sendra, J. Rafael ^[4] ; Juana Sendra ^[3]
  1. [1] Chinese University of Hong Kong

     Chinese University of Hong Kong

     RAE de Hong Kong (China)

     
  2. [2] Western University, Canada
  3. [3] CUNEF Universidad
  4. [4] Universidad of Alcalá

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• Localización: EACA 2022: XVII Encuentro de Álgebra Computacional y Aplicaciones / coord. por Carlos Galindo Pastor, Philippe Giménez, Fernando Javier Hernando Carrillo, F. Monserrat Delpalillo, Julio José Moyano Fernández, 2023, ISBN 978-84-19647-46-7, págs. 59-62
• Idioma: inglés
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• Resumen

  • 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.