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20052023
most citedConvergence rate for a Gauss collocation method applied to unconstrained optimal control

50 citations · 234 across the 24 of their papers we have counts for

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Showing 2020Show all

6 papers · 1 filter

math.OC2020★ 24 cited

The Switch Point Algorithm

Mahya Aghaee, William W. Hager

The Switch Point Algorithm is a new approach for solving optimal control problems whose solutions are either singular or bang-bang or both singular and bang-bang, and which possess…

math.OC2020★ 1 cited

A Newton-Type Active Set Method for Nonlinear Optimization with Polyhedral Constraints

William W. Hager, Davoud Ataee Tarzanagh

A Newton-type active set algorithm for large-scale minimization subject to polyhedral constraints is proposed. The algorithm consists of a gradient projection step, a second-order…

math.OC2020★ 1 cited

An Inexact Accelerated Stochastic ADMM for Separable Convex Optimization

Jianchao Bai, William W. Hager, Hongchao Zhang

An inexact accelerated stochastic Alternating Direction Method of Multipliers (AS-ADMM) scheme is developed for solving structured separable convex optimization problems with linea…

math.OC2020★ 1 cited

Solving Singular Control Problems in Mathematical Biology, Using PASA

Summer Atkins, Mahya Aghaee, Maia Martcheva +1

In this paper, we will demonstrate how to use a nonlinear polyhedral constrained optimization solver called the Polyhedral Active Set Algorithm (PASA) for solving a general singula…

math.OC2020

Mesh Refinement Method for Solving Optimal Control Problems with Nonsmooth Solutions Using Jump Function Approximations

Alexander T. Miller, WIlliam W. Hager, Anil V. Rao

A mesh refinement method is described for solving optimal control problems using Legendre-Gauss-Radau collocation. The method detects discontinuities in the control solution by emp…

math.NA2020★ 23 cited

Convergence rates for an inexact ADMM applied to separable convex optimization

William W. Hager, Hongchao Zhang

Convergence rates are established for an inexact accelerated alternating direction method of multipliers (I-ADMM) for general separable convex optimization with a linear constraint…