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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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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…

math.NA2016★ 27 cited

Convergence rate for a Gauss collocation method applied to constrained optimal control

William W. Hager, Jun Liu, Subhashree Mohapatra +2

A local convergence rate is established for a Gauss orthogonal collocation method applied to optimal control problems with control constraints. If the Hamiltonian possesses a stron…

math.NA2016★ 27 cited

Convergence Rate for a Radau hp Collocation Method Applied to Constrained Optimal Control

William W. Hager, Hongyan Hou, Subhashree Mohapatra +1

For unconstrained control problems, a local convergence rate is established for an -method based on collocation at the Radau quadrature points in each mesh interval of the disc…

math.NA2015★ 25 cited

Lebesgue Constants Arising in a Class of Collocation Methods

William W. Hager, Hongyan Hou, Anil V. Rao

Estimates are obtained for the Lebesgue constants associated with the Gauss quadrature points on augmented by the point and with the Radau quadrature points on eith…

math.NA2014★ 1 cited

Projection Algorithms for Non-Convex Minimization with Application to Sparse Principal Component Analysis

William W. Hager, Dzung T. Phan, Jia-Jie Zhu

We consider concave minimization problems over non-convex sets.Optimization problems with this structure arise in sparse principal component analysis. We analyze both a gradient pr…