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Sixth International Conference on Parallel and Distributed Computing Applications and Technologies (PDCAT'05)
The Eigen-Problem In The Completely Max-Algebra
Dalian, China
December 05-December 08
ISBN: 0-7695-2405-2
ASCII Text
x 
 
Ma Jun, Gao Yan, Dai zhi yong, "The Eigen-Problem In The Completely Max-Algebra," Parallel and Distributed Computing Applications and Technologies, International Conference on, pp. 1013-1016, Sixth International Conference on Parallel and Distributed Computing Applications and Technologies (PDCAT'05), 2005.
 
 
BibTex
x
 
@article{ 10.1109/PDCAT.2005.235,
author = {Ma Jun and Gao Yan and Dai zhi yong},
title = {The Eigen-Problem In The Completely Max-Algebra},
journal ={Parallel and Distributed Computing Applications and Technologies, International Conference on},
volume = {0},
year = {2005},
isbn = {0-7695-2405-2},
pages = {1013-1016},
doi = {http://doi.ieeecomputersociety.org/10.1109/PDCAT.2005.235},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - Parallel and Distributed Computing Applications and Technologies, International Conference on
TI - The Eigen-Problem In The Completely Max-Algebra
SN - 0-7695-2405-2
SP1013
EP1016
A1 - Ma Jun,
A1 - Gao Yan,
A1 - Dai zhi yong,
PY - 2005
KW - null
VL - 0
JA - Parallel and Distributed Computing Applications and Technologies, International Conference on
ER -
 
Ma Jun, Wuhan University of Science and Engineering , Wuhan, China
Gao Yan, Wuhan University of Science and Engineering , Wuhan, China
Dai zhi yong, Wuhan University of Science and Engineering , Wuhan, China
The eigen-problem of max-algebraic matrix in the sense of the completely max-algebra is analyzed in detail in this paper. It is proved that \lambda = \varpi(\gamma) must be the eigenvalue of the matrix A in the sense of the completely max-algebra if real number \varpi(\gamma) is the average weight of the critical circuit ? for some strongly connected subgraph G(A\gamma) in the graph G(A).
Citation:
Ma Jun, Gao Yan, Dai zhi yong, "The Eigen-Problem In The Completely Max-Algebra," pdcat, pp.1013-1016, Sixth International Conference on Parallel and Distributed Computing Applications and Technologies (PDCAT'05), 2005
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