On the numerical range in tropical algebra |
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| Authors: | Hanieh Tavakolipour |
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| Affiliation: | Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran |
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| Abstract: | ABSTRACTWe introduce the concept of numerical range in tropical linear algebra, explore its properties and show in particular that it contains all the tropical eigenvalues. An explicit formula is obtained for the tropical numerical range and an application in the asymptotic analysis of condition number of symmetric matrices is proposed. |
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| Keywords: | Max-plus algebra tropical eigenvalues numerical range |
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