vol18_pp674-692. 199KB Jun 04 2011 12:06:04 AM
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The fourteen complex nilpotent Lie algebras with a small derived quotient are realized here using 7x7 matrices..
Eventually nonnegative matrix, Eventually positive matrix, Eventually exponen- tially positive matrix, Exponentially positive matrix, Sign pattern, Perron-Frobenius.. AMS
Since similar problems were solved for matrices with complex elements, we will use the term completion instead of perturbation in order to show that in comparison with the
Regarding partial sign convergence of matrix powers, we recall from Section 2.2 that dominant complex opaque panes generated by real Jordan chain c{ads for com- plex eigenvalues
Using these results, analogous to the case for the Jordan and Lie algebras we can show the following structured canonical forms for both complex and real p;q -unitary.
Among the P -matrices are several important and well-studied matrix subclasses (see [5, 6]for more information on these classes of matrices): An (invertible) M -matrix is a
In this section we establish a condition sufficient to ensure that a sign pattern is PEP, and provide an example of an eventually positive matrix that shows that this condition is
Although results of Section 3 can be applied only to matrices such that their Hermitian part can be transformed into a strictly diagonally dominant matrix by means of
