About Primitiveness of Cyclic Matrices
Any nonnegative square matrice A is called primitive if for some t 1 the matrice At has no entries equal to 0. A right (left) circulant of order n is a matrice of order n such that each row of the matrice is obtained by the cyclic shift of the previous row one step to the right (to the left). In th...
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Format: | Article |
Language: | English |
Published: |
Moscow Engineering Physics Institute
2015-03-01
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Series: | Bezopasnostʹ Informacionnyh Tehnologij |
Subjects: | |
Online Access: | https://bit.mephi.ru/index.php/bit/article/view/131 |
Summary: | Any nonnegative square matrice A is called primitive if for some t 1 the matrice At has no entries equal to 0. A right (left) circulant of order n is a matrice of order n such that each row of the matrice is obtained by the cyclic shift of the previous row one step to the right (to the left). In this article such matrices are explicitly described, conditions of primitiveness of right and left circulants are received. |
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ISSN: | 2074-7128 2074-7136 |