vol17_pp236-244. 157KB Jun 04 2011 12:05:59 AM
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Equivalently, as Car- litz compositions are generalized compositions, there exists a sign reversing involution φ on generalized compositions when the sign is 1 if the number of
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 article a fast computational method is provided in order to calculate the Moore-Penrose inverse of full rank m × n matrices and of square matrices with at least one zero row
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 Section 3 it is shown that the same situation holds for the nonnegative P0-matrix completion problem, that is, a pattern for n × n matrices that includes all diagonal positions
Criteria for existence of Hamiltonian quaternionic matrices that are square roots of a given skewHamiltonian quaternionic matrix are developed.. The criteria are formulated in terms
We include a Matlab program to generate Krein spaces numerical ranges of arbitrary complex matrices that treats the degenerate cases and represents the boundary generating curves..
On one hand, it is shown in [ 13 ] that the mirror coupling is a unique maximal Markovian coupling when there exists a reflection structure in more general framework than Theorem