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An Inverse Sidon Type Inequality for the Walsh System

✍ Scribed by S. Fridli


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
673 KB
Volume
193
Category
Article
ISSN
0022-247X

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On an inequality for the Hadamard produc
✍ Yongzhong Song πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 61 KB

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.