Generalized SPGL1: from theory to applications

The SPGL1 solver has been effectively used for many geophysical applications, including curvelet data interpolation, imaging, and as a subroutine in full waveform inversion. In this talk, we present an overview of the theoretical foundation of the solver, along with a broad generalization of this foundation. We then introduce several applications, including robust & sparse imaging, sparse deconvolution, and data interpolation by matrix completion.