A Necessary and Sufficient Condition for Existence of a Positive Perron Vector
نویسندگان
چکیده
منابع مشابه
A Necessary and Sufficient Condition for Existence of a Positive Perron Vector
In 1907, Oskar Perron showed that a positive square matrix has a unique largest positive eigenvalue with a positive eigenvector. This result was extended to irreducible nonnegative matrices by Geog Frobenius in 1912, and to irreducible nonnegative tensors and weakly irreducible nonnegative tensors recently. This result is a fundamental result in matrix theory and has found wide applications in ...
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ژورنال
عنوان ژورنال: SIAM Journal on Matrix Analysis and Applications
سال: 2016
ISSN: 0895-4798,1095-7162
DOI: 10.1137/15m1051828