TY - JOUR

T1 - On a generalization of power algorithms over max-plus algebra

AU - Fahim, Kistosil

AU - Subiono, null

AU - van der Woude, Jacob

N1 - Accepted Author Manuscript

PY - 2017/1/12

Y1 - 2017/1/12

N2 - In this paper we discuss a generalization of power algorithms over max-plus algebra. We are interested in finding such a generalization starting from various existing power algorithms. The resulting algorithm can be used to determine the so-called generalized eigenmode of any square regular matrix over max-plus algebra. In particular, the algorithm can be applied in the case of regular reducible matrices in which the existing power algorithms can not be used to compute eigenvalues and corresponding eigenvectors.

AB - In this paper we discuss a generalization of power algorithms over max-plus algebra. We are interested in finding such a generalization starting from various existing power algorithms. The resulting algorithm can be used to determine the so-called generalized eigenmode of any square regular matrix over max-plus algebra. In particular, the algorithm can be applied in the case of regular reducible matrices in which the existing power algorithms can not be used to compute eigenvalues and corresponding eigenvectors.

KW - Cycle time vector

KW - Generalized eigenmode

KW - Max-plus algebra

KW - Power algorithm

UR - http://www.scopus.com/inward/record.url?scp=85009291627&partnerID=8YFLogxK

UR - http://resolver.tudelft.nl/uuid:19148691-30b5-4779-b5a4-4b83d4bfb2a1

U2 - 10.1007/s10626-016-0235-4

DO - 10.1007/s10626-016-0235-4

M3 - Article

AN - SCOPUS:85009291627

VL - 27

SP - 181

EP - 203

JO - Discrete Event Dynamic Systems: theory and applications

JF - Discrete Event Dynamic Systems: theory and applications

SN - 0924-6703

IS - 1

ER -