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Proceedings of the American Mathematical Society

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Nonnegative idempotent matrices


Author: Ralph DeMarr
Journal: Proc. Amer. Math. Soc. 45 (1974), 185-188
MSC: Primary 15A48
DOI: https://doi.org/10.1090/S0002-9939-1974-0354738-X
MathSciNet review: 0354738
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Abstract: Elementary ideas in the theory of partially ordered linear algebras are used to describe the structure of nonnegative idempotent matrices. In particular, we obtain a kind of ``spectral decomposition'' theorem for such matrices.


References [Enhancements On Off] (What's this?)

  • [1] G. Birkhoff, Lattice theory, 3rd ed., Amer. Math. Soc. Colloq. Publ., vol. 25, Amer. Math. Soc., Providence, R. I., 1967. MR 37 #2638. MR 0227053 (37:2638)
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  • [3] R. J. Plemmons and R. E. Cline, The generalized inverse of a nonnegative matrix, Proc. Amer. Math. Soc. 31 (1972), 46-50. MR 44 #2759. MR 0285541 (44:2759)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1974-0354738-X
Keywords: Partially ordered linear algebra, matrix inequalities, idempotent matrices
Article copyright: © Copyright 1974 American Mathematical Society

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