Diagonalization of Time Varying Symmetric Matrices

Authors:
Markus Baumann;Uwe Helmke
Affiliations:
-;-
Venue:
ICCS '02 Proceedings of the International Conference on Computational Science-Part III
Year:
2002

Citing 3
Cited 1

The Equations ATX\pm XTA=B

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Abstract

We consider the task of diagonalizing symmetric time varying matrices A(t). Based on the dynamic inversion technique developed by Getz and Marsden, a differential equation is proposed, whose solutions asymptotically track the diagonalizing transformation. In particular, one does not need to perfectly match the initial conditions, as the solutions converge exponentially towards the desired transformation. Thus, the proposed method is robust under perturbations.