Geodesic
On the Number of Positive Entries in the Powers of a Non-Negative Matrix
Canadian mathematical bulletin, Tome 7 (1964) no. 4, pp. 525-537

Voir la notice de l'article provenant de la source Cambridge

DOI

A real matrix A is said to be non-negative if and only if none of its entries is negative. Suppose A is an r by r non-negative matrix. We want to examine: (A) The first power of A to maximize the number of positive entries in An, (B) For each 1 ≤ i ≤ r the first power of A to maximize the number of positive entries in the i-th row of An. We shall call the former first power the index of A and the latter the i-th row index of A (index (i, A)). 
Pullman, N. On the Number of Positive Entries in the Powers of a Non-Negative Matrix. Canadian mathematical bulletin, Tome 7 (1964) no. 4, pp. 525-537. doi: 10.4153/CMB-1964-049-x
@article{10_4153_CMB_1964_049_x,
     author = {Pullman, N.},
     title = {On the {Number} of {Positive} {Entries} in the {Powers} of a {Non-Negative} {Matrix}},
     journal = {Canadian mathematical bulletin},
     pages = {525--537},
     year = {1964},
     volume = {7},
     number = {4},
     doi = {10.4153/CMB-1964-049-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-049-x/}
}
TY  - JOUR
AU  - Pullman, N.
TI  - On the Number of Positive Entries in the Powers of a Non-Negative Matrix
JO  - Canadian mathematical bulletin
PY  - 1964
SP  - 525
EP  - 537
VL  - 7
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-049-x/
DO  - 10.4153/CMB-1964-049-x
ID  - 10_4153_CMB_1964_049_x
ER  - 
%0 Journal Article
%A Pullman, N.
%T On the Number of Positive Entries in the Powers of a Non-Negative Matrix
%J Canadian mathematical bulletin
%D 1964
%P 525-537
%V 7
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-049-x/
%R 10.4153/CMB-1964-049-x
%F 10_4153_CMB_1964_049_x

Cité par Sources :