Abstract
Two easily computable sequences of bounds on the subdominant modulus of an eigenvalue of a square nonnegative matrix are obtained. In particular it is shown that the sequences converge to the subdominant modulus. A sequence of bounds generated by a method of Brauer (1971) turns out to be a subsequence of one of our sequences. Thus, our results imply the convergence of Brauer's sequence.
Original language | English |
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Pages (from-to) | 61-75 |
Number of pages | 15 |
Journal | Linear Algebra and Its Applications |
Volume | 87 |
Issue number | C |
DOIs | |
State | Published - Mar 1987 |