Updating the Inverse of a Matrix. - William W. Hager (SIAM Rev., 1989)

7 Mathematical programming - A computational perspective. - William W. Hager; Reiner Horst; Panos M. Pardalos (Computational Statistics, 1993)

Dual active sets and constrained optimization. - William W. Hager (Ann. Oper. Res., 1993)

Application of the dual active set algorithm to quadratic network optimization. - William W. Hager; Donald W. Hearn (Comput. Optim. Appl., 1993)

Implicit Functions, Lipschitz Maps, and Stability in Optimization. - Asen L. Dontchev; William W. Hager (Math. Oper. Res., 1994)

Stabilized Sequential Quadratic Programming. - William W. Hager (Comput. Optim. Appl., 1999)

Stability in the presence of degeneracy and error estimation. - William W. Hager; M. Seetharama Gowda (Math. Program., 1999)

Graph Partitioning and Continuous Quadratic Programming. - William W. Hager; Yaroslav Krylyuk (SIAM J. Discret. Math., 1999)

Modifying a Sparse Cholesky Factorization. - Timothy A. Davis 001; William W. Hager (SIAM J. Matrix Anal. Appl., 1999)

Load Balancing and Continuous Quadratic Programming. - William W. Hager (IPDPS Workshops, 2000)

Runge-Kutta methods in optimal control and the transformed adjoint system. - William W. Hager (Numerische Mathematik, 2000)

The Wave Annihilation Technique and the Design of Nonreflective Coatings. - Dongxing Wang; Rouben Rostamian; William W. Hager (SIAM J. Appl. Math., 2000)

Uniform Convergence and Mesh Independence of Newton's Method for Discretized Variational Problems. - Asen L. Dontchev; William W. Hager; Vladimir M. Veliov (SIAM J. Control. Optim., 2000)

Second-Order Runge-Kutta Approximations in Control Constrained Optimal Control. - Asen L. Dontchev; William W. Hager; Vladimir M. Veliov (SIAM J. Numer. Anal., 2000)

Iterative Methods for Nearly Singular Linear Systems. - William W. Hager (SIAM J. Sci. Comput., 2000)

The Euler approximation in state constrained optimal control. - Asen L. Dontchev; William W. Hager (Math. Comput., 2001)

Minimizing a Quadratic Over a Sphere. - William W. Hager (SIAM J. Optim., 2001)

Multiple-Rank Modifications of a Sparse Cholesky Factorization. - Timothy A. Davis 001; William W. Hager (SIAM J. Matrix Anal. Appl., 2001)

The Dual Active Set Algorithm and Its Application to Linear Programming. - William W. Hager (Comput. Optim. Appl., 2002)

Multiset graph partitioning. - William W. Hager; Yaroslav Krylyuk (Math. Methods Oper. Res., 2002)

Minimizing the Profile of a Symmetric Matrix. - William W. Hager (SIAM J. Sci. Comput., 2002)

Two new regularized AdaBoost algorithms. - Yijun Sun; Jian Li 001; William W. Hager (ICMLA, 2004)

MIMO transceiver design using geometric mean decomposition. - Yi Jiang 002; Jian Li 001; William W. Hager (ITW, 2004)

The Gradient Projection Method with Exact Line Search. - William W. Hager; Soonchul Park (J. Glob. Optim., 2004)

A Nonmonotone Line Search Technique and Its Application to Unconstrained Optimization. - Hongchao Zhang; William W. Hager (SIAM J. Optim., 2004)

Recent Advances in Bound Constrained Optimization. - William W. Hager; Hongchao Zhang (System Modelling and Optimization, 2005)

Global convergence of SSM for minimizing a quadratic over a sphere. - William W. Hager; Soonchul Park (Math. Comput., 2005)

A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search. - William W. Hager; Hongchao Zhang (SIAM J. Optim., 2005)

Row Modifications of a Sparse Cholesky Factorization. - Timothy A. Davis 001; William W. Hager (SIAM J. Matrix Anal. Appl., 2005)

Joint transceiver design for MIMO communications using geometric mean decomposition. - Yi Jiang 002; Jian Li 001; William W. Hager (IEEE Trans. Signal Process., 2005)

Uniform channel decomposition for MIMO communications. - Yi Jiang 002; Jian Li 001; William W. Hager (IEEE Trans. Signal Process., 2005)

Editorial. - William W. Hager (Comput. Optim. Appl., 2006)

A New Active Set Algorithm for Box Constrained Optimization. - William W. Hager; Hongchao Zhang (SIAM J. Optim., 2006)

Algorithm 851: CG_DESCENT, a conjugate gradient method with guaranteed descent. - William W. Hager; Hongchao Zhang (ACM Trans. Math. Softw., 2006)

Tunable Channel Decomposition for MIMO Communications Using Channel State Information. - Yi Jiang 002; William W. Hager; Jian Li 001 (IEEE Trans. Signal Process., 2006)

Domain Decomposition for Electronic Structure Computations. - Maxime Barrault; Guy Bencteux; Eric Cancès; William W. Hager; Claude Le Bris (PARCO, 2007)

Multilevel domain decomposition for electronic structure calculations. - Maxime Barrault; Eric Cancès; William W. Hager; Claude Le Bris (J. Comput. Phys., 2007)

Asymptotic Convergence Analysis of a New Class of Proximal Point Methods. - William W. Hager; Hongchao Zhang (SIAM J. Control. Optim., 2007)

Training Signal Design for Estimation of Correlated MIMO Channels With Colored Interference. - Yong Liu; Tan F. Wong; William W. Hager (IEEE Trans. Signal Process., 2007)

Editorial. - Luis Alberto Fernandez; William W. Hager; Fredi Tröltzsch (Comput. Optim. Appl., 2008)

COAP 2007 Best Paper Award. - William W. Hager (Comput. Optim. Appl., 2008)

Self-adaptive inexact proximal point methods. - William W. Hager; Hongchao Zhang (Comput. Optim. Appl., 2008)

The generalized triangular decomposition. - Yi Jiang 002; William W. Hager; Jian Li 001 (Math. Comput., 2008)

A sparse proximal implementation of the LP dual active set algorithm. - Timothy A. Davis 001; William W. Hager (Math. Program., 2008)

Dual multilevel optimization. - Timothy A. Davis 001; William W. Hager (Math. Program., 2008)

Optimization of Generalized Mean-Square Error in Noisy Linear Estimation. - William W. Hager; Jiangtao Luo (SIAM J. Matrix Anal. Appl., 2008)

Algorithm 887: CHOLMOD, Supernodal Sparse Cholesky Factorization and Update/Downdate. - Yanqing Chen; Timothy A. Davis 001; William W. Hager; Sivasankaran Rajamanickam (ACM Trans. Math. Softw., 2008)

An affine-scaling interior-point CBB method for box-constrained optimization. - William W. Hager; Bernard A. Mair; Hongchao Zhang (Math. Program., 2009)

An Ellipsoidal Branch and Bound Algorithm for Global Optimization. - William W. Hager; Dzung T. Phan (SIAM J. Optim., 2009)

Dynamic Supernodes in Sparse Cholesky Update/Downdate and Triangular Solves. - Timothy A. Davis 001; William W. Hager (ACM Trans. Math. Softw., 2009)

A unified framework for the numerical solution of optimal control problems using pseudospectral methods. - Divya Garg; Michael A. Patterson; William W. Hager; Anil V. Rao; David A. Benson; Geoffrey T. Huntington (Autom., 2010)

Analysis of a Quadratic Programming Decomposition Algorithm. - Guy Bencteux; Eric Cancès; William W. Hager; Claude Le Bris (SIAM J. Numer. Anal., 2010)

Pseudospectral methods for solving infinite-horizon optimal control problems. - Divya Garg; William W. Hager; Anil V. Rao (Autom., 2011)

Direct trajectory optimization and costate estimation of finite-horizon and infinite-horizon optimal control problems using a Radau pseudospectral method. - Divya Garg; Michael A. Patterson; Camila Francolin; Christopher Darby; Geoffrey T. Huntington; William W. Hager; Anil V. Rao (Comput. Optim. Appl., 2011)

Gradient-Based Methods for Sparse Recovery. - William W. Hager; Dzung T. Phan; Hongchao Zhang (SIAM J. Imaging Sci., 2011)

An Affine-Scaling Interior-Point Method for Continuous Knapsack Constraints with Application to Support Vector Machines. - María D. González-Lima; William W. Hager; Hongchao Zhang (SIAM J. Optim., 2011)

Partially parallel MR image reconstruction using sensitivity encoding. - Maryam Yashtini; William W. Hager; Yunmei Chen; Xiaojing Ye (ICIP, 2012)

Fast Algorithms for Image Reconstruction with Application to Partially Parallel MR Imaging. - Yunmei Chen; William W. Hager; Feng Huang 001; Dzung T. Phan; Xiaojing Ye; Wotao Yin (SIAM J. Imaging Sci., 2012)

Costate estimation of state-inequality path constrained optimal control problems using collocation at Legendre-Gauss-Radau points. - Camila Francolin; Hongyan Hou; William W. Hager; Anil V. Rao (CDC, 2013)

Bregman operator splitting with variable stepsize for total variation image reconstruction. - Yunmei Chen; William W. Hager; Maryam Yashtini; Xiaojing Ye; Hongchao Zhang (Comput. Optim. Appl., 2013)

An exact algorithm for graph partitioning. - William W. Hager; Dzung T. Phan; Hongchao Zhang (Math. Program., 2013)

The Limited Memory Conjugate Gradient Method. - William W. Hager; Hongchao Zhang (SIAM J. Optim., 2013)

An hp mesh refinement method for optimal control using discontinuity detection and mesh size reduction. - Fengjin Liu; William W. Hager; Anil V. Rao (CDC, 2014)

A Continuous Refinement Strategy for the Multilevel Computation of Vertex Separators. - William W. Hager; James T. Hungerford; Ilya Safro (LION, 2014)

An efficient gradient method using the Yuan steplength. - Roberta De Asmundis; Daniela di Serafino; William W. Hager; Gerardo Toraldo; Hongchao Zhang (Comput. Optim. Appl., 2014)

An affine scaling method for optimization problems with polyhedral constraints. - William W. Hager; Hongchao Zhang (Comput. Optim. Appl., 2014)

Projection algorithms for non-convex minimization, with application to sparse principal component analysis. - William W. Hager; Jiajie Zhu (CoRR, 2014)

Error estimation in nonlinear optimization. - William W. Hager; Delphine Mico-Umutesi (J. Glob. Optim., 2014)

Optimality conditions for maximizing a function over a polyhedron. - William W. Hager; James T. Hungerford (Math. Program., 2014)

Continuous quadratic programming formulations of optimization problems on graphs. - William W. Hager; James T. Hungerford (Eur. J. Oper. Res., 2015)

Adaptive mesh refinement method for optimal control using nonsmoothness detection and mesh size reduction. - Fengjin Liu; William W. Hager; Anil V. Rao (J. Frankl. Inst., 2015)

Projection algorithms for nonconvex minimization with application to sparse principal component analysis. - William W. Hager; Dzung T. Phan; Jiajie Zhu (J. Glob. Optim., 2016)

Convergence Rate for a Gauss Collocation Method Applied to Unconstrained Optimal Control. - William W. Hager; Hongyan Hou; Anil V. Rao (J. Optim. Theory Appl., 2016)

Projection onto a Polyhedron that Exploits Sparsity. - William W. Hager; Hongchao Zhang (SIAM J. Optim., 2016)

An O(1/k) Convergence Rate for the Variable Stepsize Bregman Operator Splitting Algorithm. - William W. Hager; Maryam Yashtini; Hongchao Zhang (SIAM J. Numer. Anal., 2016)

An Efficient Hybrid Algorithm for the Separable Convex Quadratic Knapsack Problem. - Timothy A. Davis 001; William W. Hager; James T. Hungerford (ACM Trans. Math. Softw., 2016)

Modified Radau Collocation method for Solving Optimal Control Problems with Nonsmooth Solutions Part I: Lavrentiev Phenomenon and the Search Space. - Joseph D. Eide; William W. Hager; Anil V. Rao (CDC, 2018)

Modified Radau Collocation Method for Solving Optimal Control Problems with Nonsmooth Solutions Part II: Costate Estimation and the Transformed Adjoint System. - Joseph D. Eide; William W. Hager; Anil V. Rao (CDC, 2018)

A pseudospectral method for optimal control based on collocation at the Gauss points. - William W. Hager; Jun Liu 025; Subhashree Mohapatra; Anil V. Rao; Xiang-Sheng Wang (CDC, 2018)

A multilevel bilinear programming algorithm for the vertex separator problem. - William W. Hager; James T. Hungerford; Ilya Safro (Comput. Optim. Appl., 2018)

Convergence Rate for a Gauss Collocation Method Applied to Constrained Optimal Control. - William W. Hager; Jun Liu 025; Subhashree Mohapatra; Anil V. Rao; Xiang-Sheng Wang (SIAM J. Control. Optim., 2018)

Adaptive Mesh Refinement Method for Optimal Control Using Decay Rates of Legendre Polynomial Coefficients. - Fengjin Liu; William W. Hager; Anil V. Rao (IEEE Trans. Control. Syst. Technol., 2018)

Bounds for integration matrices that arise in Gauss and Radau collocation. - Wanchun Chen; Wenhao Du; William W. Hager; Liang Yang (Comput. Optim. Appl., 2019)

Convergence rate for a Radau hp collocation method applied to constrained optimal control. - William W. Hager; Hongyan Hou; Subhashree Mohapatra; Anil V. Rao; Xiang-Sheng Wang (Comput. Optim. Appl., 2019)

Correction to: Convergence rate for a Radau hp collocation method applied to constrained optimal control. - William W. Hager; Hongyan Hou; Subhashree Mohapatra; Anil V. Rao; Xiang-Sheng Wang (Comput. Optim. Appl., 2019)

Inexact alternating direction methods of multipliers for separable convex optimization. - William W. Hager; Hongchao Zhang (Comput. Optim. Appl., 2019)

Convergence rates for an inexact ADMM applied to separable convex optimization. - William W. Hager; Hongchao Zhang (Comput. Optim. Appl., 2020)

Algorithm 1003: Mongoose, a Graph Coarsening and Partitioning Library. - Timothy A. Davis 001; William W. Hager; Scott P. Kolodziej; Sencer Nuri Yeralan (ACM Trans. Math. Softw., 2020)

Modified Legendre-Gauss-Radau Collocation Method for Optimal Control Problems with Nonsmooth Solutions. - Joseph D. Eide; William W. Hager; Anil V. Rao (J. Optim. Theory Appl., 2021)

The Switch Point Algorithm. - Mahya Aghaee; William W. Hager (SIAM J. Control. Optim., 2021)

An inexact accelerated stochastic ADMM for separable convex optimization. - Jianchao Bai; William W. Hager; Hongchao Zhang (Comput. Optim. Appl., 2022)

Algorithm 1035: A Gradient-based Implementation of the Polyhedral Active Set Algorithm. - William W. Hager; Hongchao Zhang (ACM Trans. Math. Softw., 2023)

Extension of switch point algorithm to boundary-value problems. - William W. Hager (Comput. Optim. Appl., 2023)

Preface to Asen L. Dontchev Memorial Special Issue. - William W. Hager; R. Tyrrell Rockafellar; Vladimir M. Veliov (Comput. Optim. Appl., 2023)

On the stationarity for nonlinear optimization problems with polyhedral constraints. - Daniela di Serafino; William W. Hager; Gerardo Toraldo; Marco Viola (Math. Program., 2024)

Second-Order Sufficient Optimality Conditions in the Calculus of Variations. - William W. Hager (J. Optim. Theory Appl., 2025)