Convex optimisation constitutes a fundamental area in applied mathematics where the objective is to identify the minimum of a convex function subject to a set of convex constraints. This framework ...

SIAM Journal on Numerical Analysis, Vol. 51, No. 2 (2013), pp. 1134-1162 (29 pages) Alternating linear schemes (ALS), with the alternating least squares algorithm a notable special case, provide one ...

This is a preview. Log in through your library . Abstract The numerical success of the alternating direction method of multipliers (ADMM) inspires much attention in analyzing its theoretical ...

Data-driven decision-making processes increasingly utilize end-to-end learnable deep neural networks to render final decisions. Sometimes, the output of the forward functions in certain layers is ...

Abstract: This paper contains two parts. The first part presents a novel framework for the successive convex approximation (SCA) method to solve a general optimization problem, as well as its ...

Abstract: In this article, a method has been established for optimizing multivariate nonlinear discontinuous cost functions having multiple simple kinks in their domains of definition, by applying ...