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 ...

Abstract: This article presents a prediction-correction proximal method (PCPM) for the general nonsmooth convex optimization problem with linear equality and inequality constraints. The proposed ...

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 ...

This Python library implements homotopy-based optimization methods designed to solve convex optimization problems, with a particular focus on semidefinite programs, hyperbolic programs, and convex ...

1 Department of Mathematics, Mawlana Bhashani Science and Technology University, Tangail, Bangladesh. 2 Department of Mathematics, Uttara University, Dhaka, Bangladesh. This study presents a ...