abs_vol18_pp600-612. 24KB Jun 04 2011 12:05:47 AM
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For the Q -completion problem, sufficient conditions for a digraph to have Q -completion are given, necessary conditions for a digraph to have Q -completion are provided, and
The relationship between the Jordan forms of the matrix products AB and BA for some given A and B was first described by Harley Flanders in 1951.. Their non-zero eigenvalues
For a given complex square matrix A , we develop, implement and test a fast geometric algorithm to find a unit vector that generates a given point in the complex plane if this
Some results relating different matrix partial orderings and the reverse order law for the Moore-Penrose inverse and the group inverse are given.. Special attention is paid when
We give a necessary and sufficient condition for a graph to be bipartite in terms of an eigenvector corresponding to the largest eigenvalue of the adjacency matrix of the graph..
The Hawkins-Simon condition [9], so called in economics, requires that every principal minor be positive, and they showed the condition to be necessary and sufficient for a Z -matrix
Necessary and sufficient conditions for the equivalence and congruence of matrices under the action of standard parabolic subgroups are discussed..
Using Theorem 3.4, we have established a necessary and sufficient condition for the existence and the expression of the reflexive re-nonnegative definite solution to matrix
