Uncoupling the Perron Eigenvector Problem

ABSTRACT

For a nonnegative irreducible matrix A, this paper is concerned with the determination of its Perron eigenvector (the unique normalized eigenvector associated with the Perron eigenvalue). It is explained how to decompose A into a sequence of smaller matrices such that the the eigenvectors of the smaller matrices can be naturally coupled together in order to produce the Perron vector of A. This work was supported in part by the National Science Foundation under Grant DMS-8521154.

JOURNAL

Linear Algebra and its Appl.

Vol. 114/115, 1989, pp. 69-94

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