Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4600056 | Linear Algebra and its Applications | 2013 | 8 Pages |
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.
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Physical Sciences and Engineering
Mathematics
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