Lower bounds for the minimum eigenvalue of Hadamard product of an M-matrix and its inverse |
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| Authors: | Hou-Biao Li Ting-Zhu Huang Shu-Qian Shen |
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| Institution: | a School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, PR China
b School of Mathematics Science, Liaocheng University, Liaocheng, Shandong 252059, PR China |
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| Abstract: | For the Hadamard product A ° A−1 of an M-matrix A and its inverse A−1, we give new lower bounds for the minimum eigenvalue of A ° A−1. These bounds are strong enough to prove the conjecture of Fiedler and Markham An inequality for the Hadamard product of an M-matrix and inverse M-matrix, Linear Algebra Appl. 101 (1988) 1-8]. |
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| Keywords: | 15A06 15A15 15A48 |
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