Almost strictly totally negative matrices: An algorithmic characterization

作者：Alonso Pedro^*; Pena J M; Luisa Serrano Maria

来源：Journal of Computational and Applied Mathematics, 2015, 275: 238-246.

DOI：10.1016/j.cam.2014.07.027

• Sign regular matrices
• Almost strictly totally negative matrices
• Neville elimination

A real matrix A = (a(ij))(1 <= i,j,<= n) is said to be almost strictly totally negative if it is almost strictly sign regular with signature epsilon = (-1, 1, ..., -1), which is equivalent to the property that all its nontrivial minors are negative. In this paper an algorithmic characterization of nonsingular almost strictly totally negative matrices is presented.

• 出版日期2015-2