2015 - SIAM Fellow For contributions to optimal control, optimization theory, and numerical optimization algorithms.
His main research concerns Optimal control, Mathematical optimization, Mathematical analysis, Applied mathematics and Conjugate gradient method. William W. Hager has researched Optimal control in several fields, including Lagrange multiplier, Adjoint equation and Lipschitz continuity. His work deals with themes such as Function and Quadratic equation, which intersect with Mathematical optimization.
His Mathematical analysis study incorporates themes from Generalized inverse, State-transition matrix and Invertible matrix. His Applied mathematics study combines topics in areas such as Ordinary differential equation, Explicit and implicit methods, Calculus and Discontinuous Galerkin method. William W. Hager interconnects Line search, Gradient method and Stationary point in the investigation of issues within Conjugate gradient method.
William W. Hager spends much of his time researching Optimal control, Applied mathematics, Mathematical optimization, Mathematical analysis and Rate of convergence. His Optimal control research is multidisciplinary, incorporating perspectives in Discretization, Lagrange multiplier, Collocation method and Collocation. His biological study spans a wide range of topics, including Separable space, Polynomial, Interval and Combinatorics.
William W. Hager combines subjects such as Nonlinear programming and Active set method with his study of Mathematical optimization. The study incorporates disciplines such as Pseudospectral optimal control and Legendre pseudospectral method in addition to Gauss pseudospectral method. His Constrained optimization research is multidisciplinary, incorporating elements of Augmented Lagrangian method and Conjugate gradient method.
William W. Hager mainly focuses on Applied mathematics, Optimal control, Collocation method, Rate of convergence and Collocation. His studies deal with areas such as Structure, Separable space, Nonlinear programming and Boundary value problem as well as Applied mathematics. William W. Hager conducts interdisciplinary study in the fields of Optimal control and Gauss through his works.
Many of his studies on Rate of convergence involve topics that are commonly interrelated, such as Algorithm. The various areas that he examines in his Polyhedron study include Mathematical optimization and Projection. His Mathematical optimization research includes elements of Line search and Sparse approximation.
His primary areas of investigation include Orthogonal collocation, Applied mathematics, Optimal control, Gaussian quadrature and Rate of convergence. He applies his multidisciplinary studies on Applied mathematics and Gauss in his research. His research integrates issues of Polynomial and Collocation method in his study of Optimal control.
As a part of the same scientific study, he usually deals with the Polynomial, concentrating on Legendre polynomials and frequently concerns with Mathematical optimization. The concepts of his Mathematical optimization study are interwoven with issues in Nonlinear programming and Degree of a polynomial. His Rate of convergence course of study focuses on Algorithm and Iterated function, Matrix, Ergodic theory and Variational inequality.
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Updating the inverse of a matrix
W. W. Hager.
Siam Review (1989)
A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search
William W. Hager;Hongchao Zhang.
Siam Journal on Optimization (2005)
A SURVEY OF NONLINEAR CONJUGATE GRADIENT METHODS
William W. Hager;Hongchao Zhang.
Algorithm 887: CHOLMOD, Supernodal Sparse Cholesky Factorization and Update/Downdate
Yanqing Chen;Timothy A. Davis;William W. Hager;Sivasankaran Rajamanickam.
ACM Transactions on Mathematical Software (2008)
Brief paper: A unified framework for the numerical solution of optimal control problems using pseudospectral methods
Divya Garg;Michael Patterson;William W. Hager;Anil V. Rao.
A Nonmonotone Line Search Technique and Its Application to Unconstrained Optimization
Hongchao Zhang;William W. Hager.
Siam Journal on Optimization (2004)
Runge-Kutta methods in optimal control and the transformed adjoint system
William W. Hager.
Numerische Mathematik (2000)
An hp‐adaptive pseudospectral method for solving optimal control problems
Christopher L. Darby;William W. Hager;Anil V. Rao.
Optimal Control Applications & Methods (2011)
Error estimates for the finite element solution of variational inequalities
Franco Brezzi;William W. Hager;P. A. Raviart.
Numerische Mathematik (1978)
Applied Numerical Linear Algebra
William W. Hager.
Computational Optimization and Applications
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