Fully indecomposable exponents of primitive matrices-Reference-Cited by-同舟云学术

Fully indecomposable exponents of primitive matrices

Published:1991 Issue:4 Volume:112 Page:1193-1201
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Brualdi Richard A.,Liu Bo Lian

Abstract

If A A is a primitive matrix, then there is a smallest power of A A (its fully indecomposable exponent) that is fully indecomposable, and a smallest power of A A (its strict fully indecomposable exponent) starting from which all powers are fully indecomposable. We obtain bounds on these two exponents.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1991-112-04/S0002-9939-1991-1065941-8/S0002-9939-1991-1065941-8.pdf

Reference7 articles.

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3. Bounds for exponents of doubly stochastic primitive matrices;Lewin, Mordechai;Math. Z.,1974

4. A system of gaps in the exponent set of primitive matrices;Lewin, Mordechai;Illinois J. Math.,1981

5. The semigroup of fully indecomposable relations and Hall relations;Schwarz, Štefan;Czechoslovak Math. J.,1973

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