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

Linear Algebra and Its Applications

Volumn 330, Issue 1-3, 2001, Pages 209-213

  Pang, Chin Tzong ^a   Guu, Sy Ming ^a  

^a YUAN ZE UNIVERSITY   (Taiwan)

Author keywords

Asymptotic period; Max algebra; Nonnegative matrices

Indexed keywords

EID: 0035876987     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(01)00253-1     Document Type: Article

References (4)

1. Elsner L., van den Driessche P. On the power method in max algebra. Linear Algebra Appl. 302-303:1999;17-32.
2. Elsner L., Johnson C.R., Dias da Silva J.A. The Perron root of a weighted geometric mean of nonnegative matrices. Linear and Multilinear Algebra. 24:1988;1-13.
3. Fan Z.-T., Liu D.-F. On the oscillating power sequence of a fuzzy matrix. Fuzzy Sets and Systems. 93:1998;75-85.
4. de Schutter B., de Moor B. On the sequence of consecutive powers of a matrix in a Boolean algebra. SIAM J. Matrix. Anal. Appl. 21(1):1999;328-354.