William W. Hager
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William W. Hagercomputer-science Degrees
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Computer Science
William W. Hager's Degrees
- PhD Computer Science Stanford University
- Masters Computer Science Stanford University
- Bachelors Computer Science Stanford University
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(Suggest an Edit or Addition)William W. Hager's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search (2005) (1007)
- Updating the Inverse of a Matrix (1989) (976)
- A SURVEY OF NONLINEAR CONJUGATE GRADIENT METHODS (2005) (850)
- Algorithm 887: CHOLMOD, Supernodal Sparse Cholesky Factorization and Update/Downdate (2008) (728)
- A unified framework for the numerical solution of optimal control problems using pseudospectral methods (2010) (628)
- A Nonmonotone Line Search Technique and Its Application to Unconstrained Optimization (2004) (566)
- Runge-Kutta methods in optimal control and the transformed adjoint system (2000) (446)
- Algorithm 851: CG_DESCENT, a conjugate gradient method with guaranteed descent (2006) (376)
- An hp‐adaptive pseudospectral method for solving optimal control problems (2011) (372)
- Direct trajectory optimization and costate estimation of finite-horizon and infinite-horizon optimal control problems using a Radau pseudospectral method (2011) (342)
- Joint transceiver design for MIMO communications using geometric mean decomposition (2005) (314)
- Pseudospectral methods for solving infinite-horizon optimal control problems (2011) (295)
- A New Active Set Algorithm for Box Constrained Optimization (2006) (265)
- Review: R. Glowinski, J. L. Lions and R. Trémolières, Numerical analysis of variational inequalities (1983) (236)
- Lipschitz Continuity for Constrained Processes (1979) (230)
- Discontinuous Galerkin methods for ordinary differential equations (1981) (211)
- Direct Trajectory Optimization Using a Variable Low-Order Adaptive Pseudospectral Method (2011) (208)
- The cyclic Barzilai-–Borwein method for unconstrained optimization (2006) (200)
- Error estimates for the finite element solution of variational inequalities (1977) (194)
- Error estimates for the finite element solution of variational inequalities (1978) (186)
- Second-Order Runge-Kutta Approximations in Control Constrained Optimal Control (2000) (183)
- Large scale optimization : state of the art (1994) (180)
- Minimizing a Quadratic Over a Sphere (2001) (166)
- The Euler approximation in state constrained optimal control (2001) (160)
- An inverse mapping theorem for set-valued maps (1994) (158)
- A ph mesh refinement method for optimal control (2015) (150)
- Uniform channel decomposition for MIMO communications (2004) (146)
- Modifying a Sparse Cholesky Factorization (1999) (144)
- The geometric mean decomposition (2005) (140)
- Lipschitzian stability in nonlinear control and optimization (1993) (138)
- Dynamic Supernodes in Sparse Cholesky Update/Downdate and Triangular Solves (2009) (135)
- Optimality, stability, and convergence in nonlinear control (1995) (128)
- Applied Numerical Linear Algebra (1987) (122)
- Stabilized Sequential Quadratic Programming (1999) (121)
- Training Signal Design for Estimation of Correlated MIMO Channels With Colored Interference (2007) (111)
- The Limited Memory Conjugate Gradient Method (2013) (104)
- Multiplier methods for nonlinear optimal control (1990) (100)
- Row Modifications of a Sparse Cholesky Factorization (2005) (100)
- Adaptive mesh refinement method for optimal control using nonsmoothness detection and mesh size reduction (2015) (99)
- The generalized triangular decomposition (2007) (89)
- Multiple-Rank Modifications of a Sparse Cholesky Factorization (2000) (88)
- Implicit Functions, Lipschitz Maps, and Stability in Optimization (1994) (88)
- Uniform channel decomposition for MIMO communications (2005) (86)
- Stability in the presence of degeneracy and error estimation (1999) (86)
- An efficient gradient method using the Yuan steplength (2014) (85)
- Optimal Control: Theory, Algorithms, and Applications (1998) (75)
- Error bounds for euler approximation of a state and control constrained optimal control problem (2000) (72)
- Graph Partitioning and Continuous Quadratic Programming (1999) (71)
- Convergence and Stability Properties of the Discrete Riccati Operator Equation and the Associated Optimal Control and Filtering Problems (1976) (71)
- Bregman operator splitting with variable stepsize for total variation image reconstruction (2013) (71)
- Fast Algorithms for Image Reconstruction with Application to Partially Parallel MR Imaging (2012) (68)
- Rates of Convergence for Discrete Approximations to Unconstrained Control Problems (1976) (67)
- Lipschitzian Stability for State Constrained Nonlinear Optimal Control (1998) (63)
- Dual Approximations in Optimal Control (1984) (57)
- Convergence Rate for a Gauss Collocation Method Applied to Unconstrained Optimal Control (2015) (54)
- An affine-scaling interior-point CBB method for box-constrained optimization (2009) (53)
- Adaptive Mesh Refinement Method for Optimal Control Using Decay Rates of Legendre Polynomial Coefficients (2018) (52)
- Analysis and implementation of a dual algorithm for constrained optimization (1993) (51)
- Gradient-Based Methods for Sparse Recovery (2009) (50)
- An exact algorithm for graph partitioning (2009) (50)
- Uniform Convergence and Mesh Independence of Newton's Method for Discretized Variational Problems (2000) (49)
- Direct Trajectory Optimization and Costate Estimation of General Optimal Control Problems Using a Radau Pseudospectral Method (2009) (49)
- Numerical Analysis in Optimal Control (2001) (48)
- AN OVERVIEW OF THREE PSEUDOSPECTRAL METHODS FOR THE NUMERICAL SOLUTION OF OPTIMAL CONTROL PROBLEMS (2017) (45)
- Costate approximation in optimal control using integral Gaussian quadrature orthogonal collocation methods (2015) (45)
- Convergence Rate for a Gauss Collocation Method Applied to Unconstrained Optimal Control (2016) (41)
- Lagrange Duality Theory for Convex Control Problems (1976) (40)
- Tunable Channel Decomposition for MIMO Communications Using Channel State Information (2006) (39)
- Self-adaptive inexact proximal point methods (2008) (39)
- The Dual Active Set Algorithm and Its Application to Linear Programming (2002) (38)
- Dual techniques for constrained optimization (1987) (37)
- Global convergence of SSM for minimizing a quadratic over a sphere (2004) (36)
- Multilevel domain decomposition for electronic structure calculations (2005) (36)
- An Alternating Direction Approximate Newton Algorithm for Ill-Conditioned Inverse Problems with Application to Parallel MRI (2015) (35)
- A new approach to Lipschitz continuity in state constrained optimal control 1 1 This research was su (1998) (34)
- Large Scale Optimization (1994) (34)
- The Ritz–Trefftz Method for State and Control Constrained Optimal Control Problems (1975) (33)
- An O(1/k) Convergence Rate for the Variable Stepsize Bregman Operator Splitting Algorithm (2016) (31)
- LEBESGUE CONSTANTS ARISING IN A CLASS OF COLLOCATION METHODS (2015) (30)
- A multilevel bilinear programming algorithm for the vertex separator problem (2014) (29)
- An Affine-Scaling Interior-Point Method for Continuous Knapsack Constraints with Application to Support Vector Machines (2011) (28)
- Convergence of a Gauss Pseudospectral Method for Optimal Control (2012) (28)
- Iterative Methods for Nearly Singular Linear Systems (2000) (26)
- Application of the dual active set algorithm to quadratic network optimization (1993) (26)
- Convergence rate for a Radau hp collocation method applied to constrained optimal control (2016) (25)
- The Gradient Projection Method with Exact Line Search (2004) (25)
- Minimizing the Profile of a Symmetric Matrix (2001) (24)
- Active constraints, indefinite quadratic test problems, and complexity (1991) (23)
- An inexact accelerated stochastic ADMM for separable convex optimization (2020) (22)
- A generalized eigenproblem for the Laplacian which arises in lightning (2008) (20)
- A differential equation model for functional mapping of a virus-cell dynamic system (2010) (20)
- The LP Dual Active Set Algorithm (1998) (19)
- Linear programming approaches to the convex hull problem in Rm (1995) (19)
- Projection onto a Polyhedron that Exploits Sparsity (2016) (19)
- An hp mesh refinement method for optimal control using discontinuity detection and mesh size reduction (2014) (18)
- Approximations to the Multiplier Method (1985) (18)
- An Ellipsoidal Branch and Bound Algorithm for Global Optimization (2009) (18)
- An Efficient Hybrid Algorithm for the Separable Convex Quadratic Knapsack Problem (2016) (17)
- Bounds for integration matrices that arise in Gauss and Radau collocation (2019) (17)
- An active set algorithm for nonlinear optimization with polyhedral constraints (2016) (17)
- Asymptotic Convergence Analysis of a New Class of Proximal Point Methods (2007) (16)
- Continuous quadratic programming formulations of optimization problems on graphs (2015) (16)
- Charge rearrangement by sprites over a north Texas mesoscale convective system (2012) (15)
- A Preliminary Analysis of a Variable-Order Approach to Solving Optimal Control Problems Using Pseudospectral Methods (2010) (15)
- Simulations of Electric Fields within a Thunderstorm (1989) (15)
- Analysis of charge transport during lightning using balloon‐borne electric field sensors and Lightning Mapping Array (2007) (15)
- Gauss Pseudospectral Method for Solving Infinite-Horizon Optimal Control Problems (2010) (14)
- Multiset graph partitioning (2002) (14)
- Inexact alternating direction methods of multipliers for separable convex optimization (2019) (14)
- MIMO transceiver design using geometric mean decomposition (2004) (13)
- The evolution and discharge of electric fields within a thunderstorm (1989) (12)
- Projection algorithms for nonconvex minimization with application to sparse principal component analysis (2014) (12)
- An analysis of errors in the location, current, and velocity of lightning (1995) (12)
- A SURVEY OF NONLINEAR CONJUGATE GRADIENT (2005) (12)
- Reflection and refraction of elastic waves for stratified materials (1988) (12)
- Partially parallel MR image reconstruction using sensitivity encoding (2012) (11)
- A sparse proximal implementation of the LP dual active set algorithm (2007) (11)
- Transceiver design using generalized triangular decomposition for MIMO communications with QoS constraints (2004) (11)
- Convergence rates for an inexact ADMM applied to separable convex optimization (2020) (11)
- An affine scaling method for optimization problems with polyhedral constraints (2014) (11)
- Computational Method for Optimal Guidance and Control Using Adaptive Gaussian Quadrature Collocation (2019) (11)
- Inexact alternating direction multiplier methods for separable convex optimization (2016) (11)
- Runge-Kutta Discretizations of Optimal Control Problems (2000) (10)
- Two new regularized AdaBoost algorithms (2004) (10)
- Mesh Refinement Method for Solving Bang-Bang Optimal Control Problems Using Direct Collocation (2019) (10)
- Dual techniques for minimax (1987) (9)
- The Wave Annihilation Technique and the Design of Nonreflective Coatings (2000) (9)
- Three-dimensional charge structure of a mountain thunderstorm (2010) (9)
- The Dual Active Set Algorithm and the Iterative Solution of Linear Programs (2003) (9)
- A CONTINUOUS QUADRATIC PROGRAMMING FORMULATION OF THE VERTEX SEPARATOR PROBLEM ∗ (2013) (9)
- A ph Collocation Scheme for Optimal Control (2013) (9)
- A derivative-free bracketing scheme for univariate minimization (1990) (8)
- On Quantitative Stability in Optimization and Optimal Control (2000) (8)
- Electric Field Reversal in Sprite Electric Field Signature (2013) (8)
- An Improved Adaptive hp Algorithm using Pseudospectral Methods for Optimal Control (2010) (8)
- PACBB: A Projected Adaptive Cyclic Barzilai-Borwein Method for Box Constrained Optimization (2006) (8)
- Block Exchange in Graph Partitioning (2000) (8)
- A Discrete Model for the Lightning Discharge (1998) (8)
- Dual multilevel optimization (2007) (7)
- Error estimation in nonlinear optimization (2014) (7)
- THE SEPARABLE CONVEX QUADRATIC KNAPSACK PROBLEM (2013) (7)
- Multiscale Optimization Methods and Applications (2014) (7)
- A derivative-based bracketing scheme for univariate minimization and the conjugate gradient method (1989) (7)
- Recent Advances in Bound Constrained Optimization (2005) (7)
- Mesh refinement method for solving optimal control problems with nonsmooth solutions using jump function approximations (2020) (7)
- Algorithm 1003: Mongoose, a Graph Coarsening and Partitioning Library (2020) (6)
- Domain Decomposition and Electronic Structure Computations: A Promising Approach (2008) (6)
- BOX CONSTRAINED OPTIMIZATION FOR SIGNAL DETECTION IN MIMO CHANNELS (2007) (6)
- Optimality conditions for maximizing a function over a polyhedron (2014) (6)
- Active Set Strategies and the LP Dual Active Set Algorithm1 (1996) (6)
- Dual techniques for constrained optimization. II (1989) (5)
- THE CHANGE IN ELECTRIC POTENTIAL DUE TO LIGHTNING (2008) (5)
- Non-constant Quasi-hyperbolic Discounting (2017) (5)
- Modified Radau Collocation method for Solving Optimal Control Problems with Nonsmooth Solutions Part I: Lavrentiev Phenomenon and the Search Space (2018) (5)
- Optimization of generalized mean square error in signal processing and communication (2006) (5)
- Euler appoximation of the feasible set (1994) (5)
- Optimal Coatings, Bang-Bang Controls, And Gradient Techniques (2007) (5)
- Modifying a Sparse Cholesky Factorization | SIAM Journal on Matrix Analysis and Applications | Vol. 20, No. 3 | Society for Industrial and Applied Mathematics (1999) (5)
- Free boundaries and finite elements in one dimension (1975) (5)
- A Variable-Order hp – Adaptive Pseudospectral Method for Solving Optimal Control Problems (2010) (5)
- Minimizing the Profile of a Matrix (2000) (4)
- A Fast Suboptimal Algorithm for Detection of 16-QAM Signaling in MIMO Channels (2007) (4)
- Perturbation in eigenvalues (1982) (4)
- A Newton-type Active Set Method for Nonlinear Optimization with Polyhedral Constraints. (2020) (4)
- Modified Radau Collocation Method for Solving Optimal Control Problems with Nonsmooth Solutions Part II: Costate Estimation and the Transformed Adjoint System (2018) (4)
- Bidiagonalization and diagonalization (1987) (4)
- 7 Mathematical programming - A computational perspective (1993) (4)
- Solving Singular Control Problems in Mathematical Biology, Using PASA (2020) (3)
- A modified fast Fourier transform for polynomial evaluation and the jenkins-Traub algorithm (1986) (3)
- Analysis of a Quadratic Programming Decomposition Algorithm (2010) (3)
- An investigation of feasible descent algorithms for estimating the condition number of a matrix (2012) (3)
- Mesh-Generation Method for Real-Time Optimal Control Using Adaptive Gaussian Quadrature Collocation (2018) (3)
- Charge rearrangement deduced from nearby electric field measurements of an intracloud flash with K‒changes (2013) (3)
- Modified Legendre–Gauss–Radau Collocation Method for Optimal Control Problems with Nonsmooth Solutions (2021) (2)
- Inequalities and Approximation with Applications to VSTOL Aircraft (1978) (2)
- Mesh Refinement Method for Optimal Control Problems with Discontinuous Control Profiles (2017) (2)
- Homogenization for degenerate equations of elasticity (1988) (2)
- A Decentralized Multi-block ADMM for Demand-side Primary Frequency Control using Local Frequency Measurements (2015) (2)
- A pseudospectral method for optimal control based on collocation at the Gauss points (2018) (2)
- The Switch Point Algorithm (2020) (2)
- A Continuous Refinement Strategy for the Multilevel Computation of Vertex Separators (2013) (2)
- Norm-bounded tridiagonalizing similarity transformations for matrices (1988) (2)
- Implicit functions defined by generalized equations (1996) (2)
- Projection algorithms for non-convex minimization, with application to sparse principal component analysis (2014) (1)
- Convergence rate for a Radau hp collocation method applied to constrained optimal control (2019) (1)
- Dynamics of a non-linear spatial trade model (1972) (1)
- Variable-Order Mesh Refinement for Solving Optimal Control Problems Using an Integral Legendre-Gauss-Radau Collocation Method (2013) (1)
- An affine scaling method for optimization problems with polyhedral constraints (2013) (1)
- Dual techinques for constrained optimization (1985) (1)
- Algorithm 1003 (2020) (1)
- Costate estimation of state-inequality path constrained optimal control problems using collocation at Legendre-Gauss-Radau points (2013) (1)
- Semi-dual approximations in optimal control (1980) (1)
- NPASA: An algorithm for nonlinear programming -- Motivation and Global Convergence (2021) (1)
- A Multilevel Vertex Separator Algorithm Based on the Solution of Bilinear Programs (2016) (1)
- Dual active sets and constrained optimization (1993) (1)
- A Preliminary Analysis of Mesh Refinement for Optimal Control Using Discontinuity Detection via Jump Function Approximations (2018) (1)
- The Application of Eigenpair Stability to Block Diagonalization (1997) (1)
- Development of the Langmuir Electric Field Array (LEFA) (2009) (1)
- Invariant imbedding and the reflection of elastic waves (1989) (1)
- An exact algorithm for graph partitioning (2011) (1)
- Optimal Projectile Shapes for Minimum Total Drag (1977) (1)
- NPASA: An algorithm for nonlinear programming -- Local Convergence (2021) (1)
- Discretization error in optimal control (1991) (0)
- Computational Functional Analysis (Ramon E. Moore) (1986) (0)
- Optimization of Generalized Mean-Square Error in Noisy Linear Estimation (2008) (0)
- Nonlinear Optimization for Power Systems Cluster : Optimization in Energy Systems (2015) (0)
- An efficient gradient method using the Yuan steplength (2014) (0)
- Algorithm XXXX: A Gradient-Based Implementation of the Polyhedral Active Set Algorithm (2022) (0)
- Control ranges and the optimal solutions of the minimal reflectance problem; homogeneous materials, normal incidence, and narrow bandwidths (1980) (0)
- Box Constrained Optimization for Detection of 16-QAM Signaling in MIMO Channels (2007) (0)
- COAP 2008 best paper award: Paper of M. Weiser, T. Gänzler, and A. Schiela (2009) (0)
- Lightning Charge Transport During a Thunderstorm Near Langmuir Laboratory on 18 August 2004 (2007) (0)
- Functional Analysis and Linear Control Theory (J. R. Leigh) (1982) (0)
- An active set algorithm for nonlinear optimization with polyhedral constraints (2016) (0)
- Analysis of Global Expansion Methods: Weakly Asymptotically Diagonal Systems (L. M. Delves and T. L. Freeman) (1983) (0)
- Correction to: Convergence rate for a Radau hp collocation method applied to constrained optimal control (2019) (0)
- Load Balancing and Continuous Quadratic Programming (2000) (0)
- The Relationship Between Continuing Current and Positive Breakdown (2013) (0)
- A multilevel bilinear programming algorithm for the vertex separator problem (2017) (0)
- Minimum drag surfaces (1977) (0)
- Analysis and Implementation of a Dual Algorithm for Constrained Optimization la (1993) (0)
- Bounds for integration matrices that arise in Gauss and Radau collocation (2019) (0)
- Fifth SIAM Conference on Control and Its Applications. July 11 - 14, 2001, Town & Country Hotel, San Diego, CA (2001) (0)
- AN EFFICIENT METHOD FOR DETECTION OF QAM SIGNALLING IN LARGE MIMO SYSTEMS (2008) (0)
- COAP 2008 best paper award: Paper of P.M. Hahn, B.-J. Kim, M. Guignard, J.M. Smith and Y.-R. Zhu (2009) (0)
- An investigation of feasible descent algorithms for estimating the condition number of a matrix (2010) (0)
- Analysis and Optimization of Elastic Materials. (1995) (0)
- Projection algorithms for nonconvex minimization with application to sparse principal component analysis (2016) (0)
- Bregman operator splitting with variable stepsize for total variation image reconstruction (2012) (0)
- John von Neumann Institute for Computing Domain Decomposition for Electronic Structure Computations (2008) (0)
- Inexact alternating direction methods of multipliers for separable convex optimization (2019) (0)
- Discontinuous Galerkin Methods for Ordinary Differential liquations* (2010) (0)
- Correction to: Convergence rate for a Radau hp collocation method applied to constrained optimal control (2019) (0)
- COAP 2008 best paper award : Paper of (2009) (0)
- A Computational Approach for Near-Optimal Path Planning and Guidance for Systems with Nonholonomic Contraints (2010) (0)
- Optimal Processes on Manifolds (Roel Nottrot) (1985) (0)
- Mathematical Programming and Control Theory (B. D. Craven) (1980) (0)
- Modified Legendre-Gauss-Radau Collocation Method for Solving Optimal Control Problems with Nonsmooth Solutions (2019) (0)
- COAP 2007 Best Paper Award (2008) (0)
- Transactions of the Army Conference on Applied Mathematics and Computing (7Th) Held in West Point, New York on 6-9 June 1989 (1990) (0)
- Domain Decomposition for Electronic Structure Computations (2007) (0)
- Penalty, Multiplier, and Newton Methods for a Class of Nonlinear Optimal Control Problems (1991) (0)
- Error estimation in nonlinear optimization (2014) (0)
- Optimality conditions for maximizing a function over a polyhedron (2013) (0)
- Three Dimensional Current Generator Structure of a Mountain Thunderstorm: Analysis of Some Interesting Flashes (2008) (0)
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William W. Hager is affiliated with the following schools: