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Published in:
1993 | OriginalPaper | Chapter
Irreducibility and Primitivity of Perron Complements: Application of the Compressed Directed Graph
Authors : Charles R. Johnson, Christos Xenophontos
Published in: Graph Theory and Sparse Matrix Computation
Publisher: Springer New York
Included in: Professional Book Archive
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The Perron complement is a smaller matrix derived in a natural way from a square nonnegative matrix. By compressing the directed graph of a nonnegative matrix in a certain way, we analyze fully the connected components, irreducibility and primitivity of its Perron complement with respect to a given subset of indices.