activity
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

collaborators

25 papers

math.OC2023★ 2 cited

Extension of Switch Point Algorithm to Boundary-Value Problems

William W. Hager

In an earlier paper (https://doi.org/10.1137/21M1393315), the Switch Point Algorithm was developed for solving optimal control problems whose solutions are either singular or bang-…

math.OC2022★ 5 cited

A Gradient-Based Implementation of the Polyhedral Active Set Algorithm

William W. Hager, Hongchao Zhang

The Polyhedral Active Set Algorithm (PASA) is designed to optimize a general nonlinear function over a polyhedron. Phase one of the algorithm is a nonmonotone gradient projection a…

math.OC2021★ 2 cited

NPASA: An algorithm for nonlinear programming -- Motivation and Global Convergence

James Diffenderfer, William W. Hager

In this paper, we present a two phase method for solving nonlinear programming problems called Nonlinear Polyhedral Active Set Algorithm (NPASA) that has global and local convergen…

math.OC2021★ 2 cited

NPASA: An algorithm for nonlinear programming -- Local Convergence

James Diffenderfer, William W. Hager

In this paper, we provide local convergence analysis for the two phase Nonlinear Polyhedral Active Set Algorithm (NPASA) designed to solve nonlinear programs. In particular, we est…

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…