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Lower bounds for the minimum eigenvalue of Hadamard product of an M-matrix and its inverse

โœ Scribed by Hou-Biao Li; Ting-Zhu Huang; Shu-Qian Shen; Hong Li


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
166 KB
Volume
420
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES


On an inequality for the Hadamard produc
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.

A lower bound for the product of eigenva
โœ Mehdi Dehghan; Masoud Hajarian ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 276 KB

are encountered in many systems and control applications, and these matrix equations contain several linear matrix equations as special cases. In the present work, we introduce the inequalities for the determinant of the solutions of these matrix equations, separately. Then using these inequalities,