On Nonnegative matrices generating a finite multiplicative monoid

References

• Aho , A. V. , Hopcroft , J. E. and Ullman , J. D. 1975 . The Design and Analysis of Computer Algorithms , Reading, , Massachusetts : Addison-Wesley .
   Google Scholar
• Berman , A. and Plemmons , R. J. 1979 . Nonnegative Matrices in the Mathematical Sciences , New York : Academic Press .
   Google Scholar
• Flor , P. 1969 . On groups of nonnegative matrices . Compositio Math. , 21 : 376 – 382 .
   Web of Science ®Google Scholar
• Gantmacher , F. R. 1959 . The Theory of Matrices Vol. II , New York Chelsea
   Google Scholar
• Gunawardena , A. D. , Jain , S. K. and Snyder , L. 1989 . On the periodicity of the graph of nonnegative matrices . Linear Algebra Appl. , 120 : 181 – 192 .
   Web of Science ®Google Scholar
• Haynsworth , E. and Wall , J. R. 1979 . Group inverses of certain nonnegative matrices . Linear Algebra Appl. , 25 : 271 – 288 .
   Web of Science ®Google Scholar
• Jain , S. K. , Goel , V. K. and Kwak , E. K. 1979 . Nonnegative mth roots of nonnegative 0-symmetric idempotent matrices . Linear Algebra Appl. , 23 : 37 – 51 .
   Web of Science ®Google Scholar
• Jain , S. K. , Kwak , E. K. and Goel , V. K. 1980 . Decomposition of nonnegative group-monotone matrices . Trans. Amer. Math. Soc. , 257 : 371 – 385 .
   Web of Science ®Google Scholar
• Jain , S. K. and Snyder , L. E. 1981 . Nonnegative λe matrices . SIAM J. Algebraic Discrete Methods , : 66 – 76 .
   Google Scholar
• Lancaster , P. and Tismenetsky , M. 1985 . The Theory of Matrices , New York : Academic Press .
   Google Scholar
• Lewin , M. 1977 . Nonnegative matrices generating a finite cyclic group . Linear and Multilinear Algebra , 5 : 91 – 94 .
   Google Scholar
• Mandel , A. and Simon , I. 1977 . On finite semigroups of matrices . Theoret. Comput. Sci. , 5 : 101 – 111 .
   Google Scholar
• Minc , H. 1988 . Nonnegative Matrices , New York : Wiley .
   Google Scholar
• Straiger L. personal communication
   Google Scholar
• Tarjan , R. E. 1972 . Depth-first search and linear graph algorithms . SIAM J. Comput. , 1 : 146 – 160 .
   Google Scholar
• Weber A. Seidl H. On finitely generated monoids of matrices with entries in N submitted for publication.
   Google Scholar