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William W. Hager
Researcher at University of Florida
Publications - 213
Citations - 14355
William W. Hager is an academic researcher from University of Florida. The author has contributed to research in topics: Optimal control & Rate of convergence. The author has an hindex of 53, co-authored 211 publications receiving 12907 citations. Previous affiliations of William W. Hager include Pennsylvania State University & Society for Industrial and Applied Mathematics.
Papers
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Updating the inverse of a matrix
TL;DR: The history of these fomulas is presented and various applications to statistics, networks, structural analysis, asymptotic analysis, optimization, and partial differential equations are discussed.
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A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search
William W. Hager,Hongchao Zhang +1 more
TL;DR: A new nonlinear conjugate gradient method and an associated implementation, based on an inexact line search, are proposed and analyzed and an approximation that can be evaluated with greater precision in a neighborhood of a local minimum than the usual sufficient decrease criterion is obtained.
A survey of nonlinear conjugate gradient methods
William W. Hager,Hongchao Zhang +1 more
TL;DR: In this article, the development of dierent versions of nonlinear conjugate gradient methods, with special attention given to global convergence properties, is reviewed, with a focus on the convergence properties of the dierent methods.
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Algorithm 887: CHOLMOD, Supernodal Sparse Cholesky Factorization and Update/Downdate
TL;DR: CHOLMOD is a set of routines for factorizing sparse symmetric positive definite matrices of the form A or AAT, updating/downdating a sparse Cholesky factorization, solving linear systems, updating the solution to the triangular system Lx = b, and many other sparse matrix functions for both symmetric and unsymmetric matrices.
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Brief paper: 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 Benson,Geoffrey T. Huntington +5 more
TL;DR: transformations are developed that relate the Lagrange multipliers of the discrete nonlinear programming problem to the costates of the continuous optimal control problem and the LGL costate approximation is found to have an error that oscillates about the true solution.