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Fully Indecomposable Exponents of Primitive Matrices
Richard A. Brualdi and Bolian Liu
Proceedings of the American Mathematical Society
Vol. 112, No. 4 (Aug., 1991), pp. 1193-1201
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2048673
Page Count: 9
You can always find the topics here!Topics: Vertices, Matrices, Integers, Exponents, Semigroups, Mathematical relations, Mathematical inequalities
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If A is a primitive matrix, then there is a smallest power of A (its fully indecomposable exponent) that is fully indecomposable, and a smallest power of A (its strict fully indecomposable exponent) starting from which all powers are fully indecomposable. We obtain bounds on these two exponents.
Proceedings of the American Mathematical Society © 1991 American Mathematical Society