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Spectra of irreducible matrices
Published online by Cambridge University Press: 20 January 2009
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A real matrix is called non-negative (positive) if all its entries are non-negative (positive). Two matrices A and B are said to be cogredient if there exists a permutation matrix Q such that QAQT = B. A square non-negative matrix is called reducible if it is cogredient to a matrix of the form
where the blocks X and Y are square. Otherwise it is called irreducible.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 19 , Issue 3 , March 1975 , pp. 231 - 236
- Copyright
- Copyright © Edinburgh Mathematical Society 1975
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