The N-body problem is a system of N second-order differential equations that cannot be expressed as a closed-form solution to date. This project weighs the options of using various numerical ...

This study introduced an efficient method for solving non-linear equations. Our approach enhances the traditional spectral conjugate gradient parameter, resulting in significant improvements in the ...

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 ...

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. 42, No. 2 (2005), pp. 800-825 (26 pages) We describe and analyze two numerical methods for a linear elliptic problem with stochastic coefficients and ...

Abstract: We investigate accelerated zeroth-order algorithms for smooth composite convex optimization problems. While for unconstrained optimization, existing methods that merge 2-point zeroth-order ...

This talk presents and analyzes a novel nonlinear inner accelerated inexact proximal augmented Lagrangian (NL-IAIPAL) method for solving smooth nonconvex composite optimization problems with nonlinear ...