vol22_pp443-447. 89KB Jun 04 2011 12:06:13 AM
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We prove Zhan’s conjecture, and a related inequality for positive semidefinite matrices, using standard facts about principal submatrices, Kronecker products, and the spectral
Matrix functions, Generalization of nonnegative matrices, Eventually nonnegative matrices, Eventually positive matrices, Exponentially nonnegative matrices, Eventually exponen-
In [19], the Perron-Frobenius property stands for having the spectral radius as a positive eigenvalue with a nonnegative eigenvector; this is also the definition used in
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.,
A characterization of the joint spectral radius, due to Chen and Zhou, relies on the limit superior of the k -th root of the dominant trace over products of matrices of length k..
In this paper, we study matrix functions preserving sets of generalized nonnegative matrices such as the set of real n × n eventually nonnegative matrices, the set of real n ×
In [8], it was shown that all well-known variants of Pascal matrices in [4,5] are special cases of this gen- eralization of Pascal functional matrix.. In [3–8], the authors proved
Although the exact convergence rate remains unknown for Wigner matrices, Bai and Yao [ 6 ] proved that the spectral empirical process of Wigner matrices indexed by a set of
