Upper and lower bounds for the Perron root of a nonnegative matrix |
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| Authors: | A Melman |
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| Institution: | 1. Department of Applied Mathematics , School of Engineering, Santa Clara University , Santa Clara , CA 95053 , USA amelman@scu.edu |
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| Abstract: | We derive upper and lower bounds for the Perron root of a nonnegative matrix by using generalized Gershgorin inclusion regions. Our bounds seem particularly effective for certain sparse matrices. |
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| Keywords: | nonnegative matrix Perron root bounds Gershgorin sparse matrix |
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