The Single Instruction Multiple Data (SIMD) architecture, supported by various high-
performance computing platforms, efficiently utilizes data-level parallelism. The SIMD model …

This paper introduces a framework for solving alternating current optimal power flow
(ACOPF) problems using graphics processing units (GPUs). While GPUs have …

Numerical algorithms to solve mathematical optimization problems efficiently are essential to
applications in many areas of engineering and computational science. To solve optimization …

The interior-point method (IPM) has become the workhorse method for nonlinear
programming. The performance of IPM is directly related to the linear solver employed to …

In this paper, we provide an affirmative answer to the long-standing question: Are GPUs
useful in solving linear programming? We present cuPDLP. jl, a GPU implementation of …

With the increasing penetration of distributed energy resources, distributed optimization
algorithms have attracted significant attention for power systems applications due to their …

We present a scalable solution method based on an alternating direction method of
multipliers and graphics processing units (GPUs) for rapidly computing and tracking a …

We propose a GPU-accelerated distributed optimization algorithm for controlling multi-phase
optimal power flow in active distribution systems with dynamically changing topologies. To …

Sequential quadratic programming (SQP) is widely used in solving nonlinear optimization
problem, with advantages of warm-starting solutions, as well as finding high-accurate …

Alternating current optimal power flow (ACOPF) problems are nonconvex and nonlinear
optimization problems. Utilities and independent service operators (ISO) require ACOPF to …