World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
60
Citations
19135
World Ranking
545
National Ranking
281

Engineering and Technology

D-Index
60
Citations
19226
World Ranking
2131
National Ranking
675

William W. Hager publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where William W. Hager sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 209 publications — 65th percentile

65% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

William W. Hager D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where William W. Hager sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 60 D-Index — 85th percentile

85% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Research.com Recognitions

  • 2015 - SIAM Fellow For contributions to optimal control, optimization theory, and numerical optimization algorithms.

Overview

William W. Hager is affiliated with the University of Florida in the United States. Their research spans multiple areas primarily within engineering and mathematics, with a notable focus on optimization and control systems.

The main fields of study associated with their work include:

  • Engineering
  • Mathematics

Subfields of study cover specific technical domains such as:

  • Aerospace Engineering
  • Numerical Analysis
  • Computational Mechanics
  • Control and Systems Engineering
  • Computational Theory and Mathematics

The major research topics William W. Hager has contributed to are:

  • Advanced Optimization Algorithms Research
  • Spacecraft Dynamics and Control
  • Advanced Control Systems Optimization
  • Sparse and Compressive Sensing Techniques
  • Optimization and Variational Analysis
  • Gas Dynamics and Kinetic Theory
  • Computational Fluid Dynamics and Aerodynamics

They have coauthored research with several frequent collaborators, including:

  • Anil V. Rao
  • Hongchao Zhang
  • Mahya Aghaee
  • Summer Atkins
  • Maia Martcheva

William W. Hager's publications are present in various academic venues with particular prominence in:

  • arXiv (Cornell University)
  • Computational Optimization and Applications
  • ACM Transactions on Mathematical Software
  • Journal of Optimization Theory and Applications
  • SIAM Journal on Control and Optimization

Recent notable papers include:

  • "An inexact accelerated stochastic ADMM for separable convex optimization", 2022, Computational Optimization and Applications
  • "The Switch Point Algorithm", 2021, SIAM Journal on Control and Optimization
  • "Convergence rates for an inexact ADMM applied to separable convex optimization", 2020, Computational Optimization and Applications
  • "Algorithm 1003", 2020, ACM Transactions on Mathematical Software
  • "Modified Legendre-Gauss-Radau Collocation Method for Optimal Control Problems with Nonsmooth Solutions", 2021, Journal of Optimization Theory and Applications

William W. Hager has also contributed to book publications through the Society for Industrial and Applied Mathematics, with titles such as:

  • "Computational Methods in Optimal Control: Theory and Practice", forthcoming 2025
  • "Applied Numerical Linear Algebra", 2021

In 2015, William W. Hager was recognized as a SIAM Fellow for contributions to optimal control, optimization theory, and numerical optimization algorithms.

Best Publications

  • Updating the inverse of a matrix

    W. W. Hager

  • A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search

    William W. Hager;Hongchao Zhang

  • 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

  • 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

  • Runge-Kutta methods in optimal control and the transformed adjoint system

    William W. Hager

  • An hp‐adaptive pseudospectral method for solving optimal control problems

    Christopher L. Darby;William W. Hager;Anil V. Rao

  • Algorithm 851: CG_DESCENT, a conjugate gradient method with guaranteed descent

    William W. Hager;Hongchao Zhang

  • Brief paper: Pseudospectral methods for solving infinite-horizon optimal control problems

    Divya Garg;William W. Hager;Anil V. Rao

  • 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 L. Darby

  • Error estimates for the finite element solution of variational inequalities

    Franco Brezzi;William W. Hager;P. A. Raviart

  • Joint transceiver design for MIMO communications using geometric mean decomposition

    Yi Jiang;Jian Li;W.W. Hager

  • Applied Numerical Linear Algebra

    William W. Hager

  • Lipschitz Continuity for Constrained Processes

    William W. Hager

  • A New Active Set Algorithm for Box Constrained Optimization

    William W. Hager;Hongchao Zhang

  • Discontinuous Galerkin methods for ordinary differential equations

    M. Delfour;W. Hager;F. Trochu

  • Uniform channel decomposition for MIMO communications

    Yi Jiang;Jian Li;W.W. Hager

  • Direct Trajectory Optimization Using a Variable Low-Order Adaptive Pseudospectral Method

    Christopher L. Darby;William W. Hager;Anil V. Rao

  • Error Estimates for the Finite Element Solution of Variational Inequalities. Part I. Primal Theory.

    Franco Brezzi;William W. Hager;P. A. Raviart

Frequent Co-Authors

Anil V. Rao
Anil V. Rao University of Florida
Asen L. Dontchev
Asen L. Dontchev University of Michigan–Ann Arbor
Timothy A. Davis
Timothy A. Davis Texas A&M University
Panos M. Pardalos
Panos M. Pardalos University of Florida
Eric Cancès
Eric Cancès École des Ponts ParisTech
Yunmei Chen
Yunmei Chen University of Florida
Steven A. Cummer
Steven A. Cummer Duke University
Yu-Hong Dai
Yu-Hong Dai Chinese Academy of Sciences
Franco Brezzi
Franco Brezzi National Research Council (CNR)
Rongling Wu
Rongling Wu Pennsylvania State University

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