An extremal sparsity property of the Jordan canonical form |
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| Authors: | Richard A Brualdi Pei Pei |
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| Institution: | a Department of Mathematics, University of Wisconsin, Madison, WI 53706, USA
b Department of Mathematics, East China Normal University, Shanghai 200062, China |
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| Abstract: | We prove that among all the matrices that are similar to a given square complex matrix, the Jordan canonical form has the largest number of off-diagonal zero entries. We also characterize those matrices that attain this largest number. |
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| Keywords: | 15A21 15A99 |
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