Singular values of matrix exponentials |
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| Authors: | Wasin So Robert C Thompson |
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| Institution: |
a Department of Mathematics, Computer Science and Staticstics, Sam Houston State University, Huntsville, TX
b Department of Mathematics, University of California, Santa Barbara, CA |
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| Abstract: | The singular values of a matrix and those of its exponential are related via multiplicative majorization. Matrices giving some equalities in the majorization are characterized. As an application, a scalar inequality for the exponential function is generalized to a matrix-valued inequality and the case of equality is examined. |
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| Keywords: | Singular value matrix exponential matrix type inequality AMS Classifications: 15A18 15A45 |
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