Iterative methods for approximating the subdominant modulus of an eigenvalue of a nonnegative matrix

Moshe Haviv*, Yakov Ritov, Uriel G. Rothblum

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

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 languageEnglish
Pages (from-to)61-75
Number of pages15
JournalLinear Algebra and Its Applications
Volume87
Issue numberC
DOIs
StatePublished - Mar 1987

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