Nilpotence of Products of Nonnegative Matrices
نویسندگان
چکیده
منابع مشابه
Infinite Products of Nonnegative 2× 2 Matrices by Nonnegative Vectors
Given a finite set {M0, . . . ,Md−1} of nonnegative 2× 2 matrices and a nonnegative column-vector V , we associate to each (ωn) ∈ {0, . . . , d− 1}N the sequence of the column-vectors Mω1 . . .MωnV ‖Mω1 . . .MωnV ‖ . We give the necessary and sufficient condition on the matrices Mk and the vector V for this sequence to converge for all (ωn) ∈ {0, . . . , d− 1}N such that ∀n, Mω1 . . .MωnV 6= ( ...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1993
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181072607