vol20_pp126-135. 123KB Jun 04 2011 12:06:07 AM
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From a block-ordered right coprime decomposition of a rational matrix of the given periodic collection, the corresponding block-ordered right coprime decompositions of the
In view of the wide range of applications, both of the polar decomposition and of companion matrices, an explicit formula for C = P U is useful.. It
In [3], transformations of generating systems of Euclidean spaces are introduced based on the Moore-Penrose inverses of their Gram matrices in order to generalize the notion
For the reverse implication, we need to show that if (1.1)is true for all pairs of positive-definite matrices A and B then the inequalities in the left-hand column of Table 1
The paper is organized as follows: In section 2 we show how to construct positive stochastic and positive doubly stochastic matrices with a given spectrum and with
To do this, observe that the hermitian forms graph is the Cayley graph C ay ( G, S ), where G is the additive group of all hermitian matrices and the set S consists of all
Our heuristic claims that, in the absence of any other algebraic structure, the probability that each matrix in a space of n by n matrices has rank n − r should be
Laplacian matrix, Algebraic connectivity, Caterpillar, Bottleneck matrices, Perron branches, Characteristic vertices.. AMS
