Vol. 92, No. 1, 1981

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Bounds for the Perron root of a nonnegative irreducible partitioned matrix

Emeric Deutsch

Vol. 92 (1981), No. 1, 49–56
Abstract

It is well-known that the Perron root of a nonnegative irreducible matrix lies between the smallest and the largest row sum of A. This result is generalized to the case when the matrix A is partitioned into blocks.

Mathematical Subject Classification 2000
Primary: 15A48
Secondary: 15A42
Milestones
Received: 24 September 1979
Published: 1 January 1981
Authors
Emeric Deutsch