In 2007 Cortes and Pena introduced a pivoting strategy for the Neville elimination of nonsingular sign regular matrices and called it two-determinant pivoting. Neville elimination has been very useful for obtaining theoretical and practical properties for totally positive (negative) matrices and other related types of matrices. A real matrix is said to be almost strictly sign regular if all its nontrivial minors of the same order have the same strict sign. In this paper, some nice properties related with the application of Neville elimination with two-determinant pivoting strategy to almost strictly sign regular matrices are presented.
['Pedro Alonso', 'Juan Manuel Peña', 'María Luisa Serrano']
Almost strictly sign regular matrices and Neville elimination with two-determinant pivoting