Resumen de Bohemian matrices: A source of challenges

Eunice Y. S. Chan, Robert M. Corless , Laureano González Vega , Juan Rafael Sendra Pons , Juana Sendra

• 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.