Diagonal entries of the combined matrix of sign regular matrices of order three

• Gassó, Maria T. ; Gil, Iv´an ^[1] ; Giménez, Isabel ^[2] ; Santana, M´aximo ^[1] ; Segura, Elaine ^[1]
  1. [1] Universidad Autónoma de Santo Domingo

     Universidad Autónoma de Santo Domingo

     Santo Domingo De Guzmán, República Dominicana

     
  2. [2] Universidad Politécnica de Valencia

     Universidad Politécnica de Valencia

     Valencia, España

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 1, 2021, págs. 255-271
• Idioma: inglés
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• Resumen

  • The study of the diagonal entries of the combined matrix of a nonsingular matrix A has been considered by different authors for the classes of M—matrices, positive definite matrices and totally positive (negative) matrices. This problem appears to be difficult as the results have been done only for matrices of order three. In this work, we continue to give the characterization of the diagonal entries of the combined matrix of the remainder sign regular matrices. Thus, the problem is closed for all possible sign regular matrices of order three.