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The Beckenbach Inequality and Its Inverse

✍ Scribed by Y.D. Zhuang


Book ID
102593082
Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
209 KB
Volume
175
Category
Article
ISSN
0022-247X

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When A ∈ R nΓ—n is an M-matrix we prove the following inequality: where A β€’ B is the Hadamard product of two matrices A and B, q(B) = [p(B -1 )] -1 and p(C) denotes the Perron eigenvalue of a nonnegative matrix C. This also gives a positive answer to the conjecture posed by Fiedler and Markham.