vol22_pp214-224. 121KB Jun 04 2011 12:06:12 AM
Teks penuh
Garis besar
Dokumen terkait
In this paper, using the maximal rank of the generalized Schur complement, a new simpler equivalent condition is obtained in terms of only the ranks of the known matrices for
In their study they found examples of eventually nonnegative matrices for which the relationship between the combinatorial structure of the matrix, and its spectrum, eigenvectors,
In this paper, using the maximal rank of the generalized Schur complement, a new simpler equivalent condition is obtained in terms of only the ranks of the known matrices for
In this section we extend the results of Section 2 for idempotent matrices of the form (2.2) for some Schur complements with zero diagonal entries.. We start with the following
As is well known, the Schur complements of strictly or irreducibly diagonally dom- inant matrices are H − matrices; however, the same is not true of generally diagonally
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 ×
