This paper presents a fast algorithm for full-polarisation, direction dependent calibration in radio interferometry. It is based on Wirtinger's approach to complex differentiation. Compared to the classical case, and under reasonable approximations, the Jacobian appearing in the Levenberg-Maquardt iterative scheme presents a sparse structure, allowing for high gain in terms of algorithmic cost.
@article{arxiv.1410.8706,
title = {Applying Wirtinger derivatives to the radio interferometry calibration problem},
author = {Cyril Tasse},
journal= {arXiv preprint arXiv:1410.8706},
year = {2014}
}