Complex-valued matrix differentiation: techniques and key results

Hjørungnes, Are;Gesbert, David
IEEE Transactions on Signal Processing, Volume 55, N°6 Part I, June 2007

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.


DOI
Type:
Journal
Date:
2007-06-01
Department:
Communication systems
Eurecom Ref:
2144
Copyright:
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