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The gradient with respect to a symmetric matrix

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1 Author(s)
J. Brewer ; University of California, Davis, CA, USA

The well-known formulas for gradient matrices can be applied only when the elements of the matrix are independent [1],[2]. In this note, the author derives gradient formulas for two important types of element dependency: symmetry and skew symmetry. Application is made to the sensitivity analysis of optimal estimation systems.

Published in:

IEEE Transactions on Automatic Control  (Volume:22 ,  Issue: 2 )