IJPAM: Volume 94, No. 5 (2014)
NONNEGATIVE -POTENT MATRICES
Department of Mathematics
Jesus and Mary College
University of Delhi
Chanakyapuri, New Delhi 110056, INDIA
Abstract. We consider nonnegative -potent matrices with finite dimensions and study their decomposability. We derive the precise conditions under which an -potent matrix is decomposable. We further determine a general structure for the -potent matrices based on their decomposibility. Finally, we establish that semigroups of -potent matrices are also decomposable.
Received: April 13, 2014
AMS Subject Classification: 47D03, 15B99
Key Words and Phrases: decomposition, -potent matrices
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DOI: 10.12732/ijpam.v94i5.9 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 705 - 724
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