On Lyapunov scaling factors of real symmetric matrices |
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| Authors: | Daniel Hershkowitz Hans Schneider |
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| Affiliation: |
a Department of Mathematics, Technion-Israel Institute of Technology, Hafia, Israel
b Mathematics Department, University of Wisconsin Madison, Madison, Wisconsin, USA |
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| Abstract: | A necessary and sufficient condition for the identity matrix to be the unique Lyapunov scaling factor of a given real symmetric matrix A is given. This uniqueness is shown to be equivalent to the uniqueness of the identity matrix as a scaling D for which the kernels of A and AD are identical. |
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