Article ID Journal Published Year Pages File Type
4600056 Linear Algebra and its Applications 2013 8 Pages PDF
Abstract

U1 matrices and extreme U1 matrices are successfully used to study doubly stochastic quadratic operators in [3] where a necessary condition for a U1 matrix to be extreme is given. In this paper, we firstly present a necessary and sufficient condition for a symmetric nonnegative matrix to be an extreme U1 matrix. Secondly, we investigate the structure of extreme U1 matrices. Finally, we estimate the spectral radius of an extreme U1 matrix.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory