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New lower bounds on eigenvalue of the Hadamard product of an M-matrix and its inverse

โœ Scribed by Yao-Tang Li; Fu-Bin Chen; De-Feng Wang

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
132 KB
Volume
430
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES

On an inequality for the Hadamard produc
On an inequality for the Hadamard product of an M-matrix and its inverse
โœ Yongzhong Song ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 61 KB

When A โˆˆ R nร—n is an M-matrix we prove the following inequality: where A โ€ข 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.