Lower bounds for the minimum eigenvalue of Hadamard product of an M-matrix and its inverse
โ 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
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
When A โ R nรn is an M-matrix we prove the following inequality: where A โข 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.
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,