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2 results on '"15A80, 15A18, 15A03"'

1. On the max-algebraic core of a nonnegative matrix

Author

Butkovic, Peter, Schneider, Hans, and Sergeev, Sergei

Subjects
Mathematics - Rings and Algebras, 15A80, 15A18, 15A03
Abstract

The max-algebraic core of a nonnegative matrix is the intersection of column spans of all max-algebraic matrix powers. Here we investigate the action of a matrix on its core. Being closely related to ultimate periodicity of matrix powers, this study leads us to new modifications and geometric characterizations of robust, orbit periodic and weakly stable matrices., Comment: 27 pages

Published
2013

2. On the max-algebraic core of a nonnegative matrix

Author

Sergei Sergeev, Peter Butkovič, and Hans Schneider

Subjects
Algebra and Number Theory, Hollow matrix, Block matrix, Single-entry matrix, Mathematics - Rings and Algebras, Metzler matrix, Combinatorics, Rings and Algebras (math.RA), Matrix function, FOS: Mathematics, Symmetric matrix, 15A80, 15A18, 15A03, Nonnegative matrix, Centrosymmetric matrix, Mathematics
Abstract

The max-algebraic core of a nonnegative matrix is the intersection of column spans of all max-algebraic matrix powers. Here we investigate the action of a matrix on its core. Being closely related to ultimate periodicity of matrix powers, this study leads us to new modifications and geometric characterizations of robust, orbit periodic and weakly stable matrices., 27 pages

Published
2013

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