vol17_pp209-218. 134KB Jun 04 2011 12:05:59 AM
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purpose of this paper is to give some necessary and sufficient conditions for the existence and the representations of the group inverse of the block matrix A C..
Nonnegative matrices, Diagonal similarity scaling, Diagonal equivalence scaling, Digraph of a matrix, Cyclic product, Cycle mean, Lattice ordered commutative groups.. AMS
Necessary and sufficient conditions are established for a group of mixed-type reverse- order laws for generalized inverses of a triple matrixproduct to hold.. Some applications of
As the main result, necessary and sufficient conditions are given, under which the system obtained as a result of series connections of arbitrary many linear systems is
We conclude this section with the following result which gives an upper bound for the minimum entry of the principal eigenvector of a connected graph..
389.. In this paper we consider the following situation. We give necessary and sufficient conditions for this Leonard pair to be isomorphic to A, A ∗. When working with a Leonard
The dimension of a vector subspace is denoted by dim( · ).. Main results for rectangular coefficient matrices. In this section we shall consider two important cases with many
Instead to use here the Langevin equation, we use the more tractable Airault–Malliavin equation, that represents infinite dimen- sional Brownian motion on a current group.. 2 A
