A note on the sequence of consecutive powers of a nonnegative matrix in max algebra

Chin Tzong Pang*, Sy Ming Guu

*Corresponding author for this work

Research output: Contribution to journalJournal Article peer-review

22 Scopus citations

Abstract

In this note, we shall consider the sequence of consecutive powers in max algebra of a nonnegative matrix with each element less than or equal to 1. The notion of asymptotic period is defined to study the 'limiting behavior' of this sequence. A simple and effective characterization for the asymptotic period of the sequence is given.

Original languageEnglish
Pages (from-to)209-213
Number of pages5
JournalLinear Algebra and Its Applications
Volume330
Issue number1-3
DOIs
StatePublished - 15 06 2001
Externally publishedYes

Keywords

  • Asymptotic period
  • Max algebra
  • Nonnegative matrices

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