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Exponents of classes of non-negative matrices
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V.N. Sachkov
Published/Copyright:
February 2, 2016
Abstract
A square non-negative matrix is called primitive if all the elements of some power of this matrix are positive. The exponent of a primitive matrix is the minimum power satisfying this condition. The exponent of a class of primitive matrices is the minimum power such that all the matrices of the class to this power have positive elements only. In this paper, bounds for the exponents of primitive matrices and classes of matrices are obtained.
Published Online: 2016-2-2
Published in Print: 1993-1-1
© 2016 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- Editorial
- The Steiner problem: a survey
- Exponents of classes of non-negative matrices
- Algebraic operations and identities generated by Grassmann's algebras
- Expansion of even permutations into two factors of the given cyclic structure
- Line hypergraphs
- On the number of threshold functions
- Large deviations of the height of a random tree
- Theorems on large deviations in the polynomial scheme of trials
- Forthcoming Papers
- Contents
Articles in the same Issue
- Editorial
- The Steiner problem: a survey
- Exponents of classes of non-negative matrices
- Algebraic operations and identities generated by Grassmann's algebras
- Expansion of even permutations into two factors of the given cyclic structure
- Line hypergraphs
- On the number of threshold functions
- Large deviations of the height of a random tree
- Theorems on large deviations in the polynomial scheme of trials
- Forthcoming Papers
- Contents
