Recent developments in optimization theory have extended some traditional algorithms for
least-squares optimization of real-valued functions (Gauss–Newton, Levenberg–Marquardt …

It has recently been shown that radio interferometric gain calibration can be expressed
succinctly in the language of complex optimization. In addition to providing an elegant …

The aim of the new generation of radio synthesis arrays such as LOw Frequency ARray
(LOFAR) and Square Kilometre Array (SKA) is to achieve much higher sensitivity, resolution …

The data reduction procedure for radio interferometers can be viewed as a combined
calibration and imaging problem. We present an algorithm that unifies cross-calibration, self …

Context. Paper I of the series re-derived the radio interferometry measurement equation
(RIME) from first principles, and extended the Jones formalism to the full-sky case …

A major stage of radio interferometric data processing is calibration or the estimation of
systematic errors in the data and the correction for such errors. A stochastic error (noise) …

Context. Since its formulation by Hamaker et al., the radio interferometer measurement
equation (RIME) has provided a rigorous mathematical basis for the development of novel …

Increasing data volumes delivered by a new generation of radio interferometers require
computationally efficient and robust calibration algorithms. In this paper, we propose …

The data produced by the new generation of interferometers are affected by a wide variety of
partially unknown complex effects such as pointing errors, phased array beams, ionosphere …

We propose a novel algorithm for image reconstruction in radio interferometry. The ill-posed
inverse problem associated with the incomplete Fourier sampling identified by the visibility …