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Spectra of irreducible matrices

Published online by Cambridge University Press:  20 January 2009

Henryk Minc
Henryk Minc
Affiliation:
Institute for Algebra and Combinatorics, University of California, Santa Barbara, 93106, U.S.A.
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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

References

REFERENCES

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