vol11_pp192-204. 185KB Jun 04 2011 12:05:51 AM
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Similarity transformations leaving such sets invariant are completely described, and it is shown that a nonnilpotent matrix eventually capturing the Perron-Frobenius property is in
Eventually nonnegative matrix, Eventually positive matrix, Eventually exponen- tially positive matrix, Exponentially positive matrix, Sign pattern, Perron-Frobenius.. AMS
result and known Perron-Frobenius theory of eventually nonnegative matrices are used to establish an algorithm to determine whether a matrix is strongly eventually nonnegative (i.e.,
Zhang (2010) proved inequalities between the spectral radius of Hadamard products of finite nonnegative matrices and the spectral radius of their ordinary matrix product.. We will
Nonnegative matrix, Rowsum, Column sum, Entry sum, Matrix power.. AMS
It was shown by van der Kallen [7] that SL n( F [ x ]), n 3, does not have bounded word length with respect to elementary matrices if the field F has infinite transcendence degree
The converse is also studied: given an SDD matrix C with the structure of a k -subdirect sum and positive diagonal entries, it is shown that there are two SDD matrices whose
Based on this symmetric version, we give in section 3 a new criterion (Theorem 3.1) for the existence of a symmetric nonnegative matrix with prescribed spectrum, together with
