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Complex-Valued Matrix Differentiation: Techniques and Key Results

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2 Author(s)
Hjorungnes, A. ; UniK-Univ. Graduate Center, Oslo Univ. ; Gesbert, D.

A systematic theory is introduced for finding the derivatives of complex-valued matrix functions with respect to a complex-valued matrix variable and the complex conjugate of this variable. In the framework introduced, the differential of the complex-valued matrix function is used to identify the derivatives of this function. Matrix differentiation results are derived and summarized in tables which can be exploited in a wide range of signal processing related situations

Published in:

Signal Processing, IEEE Transactions on  (Volume:55 ,  Issue: 6 )

Date of Publication:

June 2007

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