William W. Hager

15.2k total citations · 8 hit papers
166 papers, 10.6k citations indexed

About

William W. Hager is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Computational Mechanics. According to data from OpenAlex, William W. Hager has authored 166 papers receiving a total of 10.6k indexed citations (citations by other indexed papers that have themselves been cited), including 77 papers in Computational Theory and Mathematics, 70 papers in Numerical Analysis and 47 papers in Computational Mechanics. Recurrent topics in William W. Hager's work include Advanced Optimization Algorithms Research (61 papers), Matrix Theory and Algorithms (32 papers) and Spacecraft Dynamics and Control (29 papers). William W. Hager is often cited by papers focused on Advanced Optimization Algorithms Research (61 papers), Matrix Theory and Algorithms (32 papers) and Spacecraft Dynamics and Control (29 papers). William W. Hager collaborates with scholars based in United States, Italy and France. William W. Hager's co-authors include Hongchao Zhang, Anil V. Rao, Timothy A. Davis, Asen L. Dontchev, Christopher L. Darby, Divya Garg, Jian Li, Michael Patterson, Yi Jiang and Geoffrey T. Huntington and has published in prestigious journals such as Journal of Geophysical Research Atmospheres, Journal of Computational Physics and Automatica.

In The Last Decade

William W. Hager

159 papers receiving 9.7k citations

Hit Papers

A New Conjugate Gradient Method with Guaranteed D... 1989 2026 2001 2013 2005 1989 2005 2008 2010 250 500 750
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search
    2005 800 citations William W. Hager et al. profile →
  2. Updating the Inverse of a Matrix
    1989 703 citations William W. Hager profile →
  3. A SURVEY OF NONLINEAR CONJUGATE GRADIENT METHODS
    2005 604 citations William W. Hager et al. profile →
  4. Algorithm 887
    2008 530 citations Yanqing Chen, Timothy A. Davis et al. ACM Transactions on Mathematical Software profile →
  5. A unified framework for the numerical solution of optimal control problems using pseudospectral methods
    2010 521 citations Michael Patterson, William W. Hager et al. profile →
  6. A Nonmonotone Line Search Technique and Its Application to Unconstrained Optimization
    2004 439 citations William W. Hager et al. profile →
  7. An hp‐adaptive pseudospectral method for solving optimal control problems
    2010 338 citations William W. Hager, Anil V. Rao et al. Optimal Control Applications and Methods profile →
  8. Direct trajectory optimization and costate estimation of finite-horizon and infinite-horizon optimal control problems using a Radau pseudospectral method
    2009 288 citations Michael Patterson, William W. Hager et al. profile →

Peers

William W. Hager
Comparison fields: 5 of 155
  • Numerical Analysis 3.7k
  • Computational Theory and Mathematics 3.2k
  • Computational Mechanics 3.0k
  • Aerospace Engineering 2.2k
  • Control and Systems Engineering 1.5k
Replace Philip E. Gill with:
Philip E. Gill United States
Walter Murray United States
G. W. Stewart United States
Andrew R. Conn United States
Jorge J. Morè United States
Josef Stoer Germany
Robert B. Schnabel United States
Kim-Chuan Toh Singapore
Michael J. Todd United States
Qiang Du United States
Philip E. Gill United States View profile →
Citations per field, relative to William W. Hager
William W. Hager · 1×
Citations per year, relative to William W. Hager
William W. Hager · 1×

Countries citing papers authored by William W. Hager

Since Specialization
Citations

This map shows the geographic impact of William W. Hager's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by William W. Hager with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites William W. Hager more than expected).

Fields of papers citing papers by William W. Hager

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by William W. Hager. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by William W. Hager. The network helps show where William W. Hager may publish in the future.

Co-authorship network of co-authors of William W. Hager

This figure shows the co-authorship network connecting the top 25 collaborators of William W. Hager. A scholar is included among the top collaborators of William W. Hager based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with William W. Hager. William W. Hager is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
# Work Indexed citations
1
Optimally controlling nutrition and propulsion force in a long distance running race
2023 ·Frontiers in Nutrition ·Cameron Cook, Guoxun Chen, William W. Hager, Suzanne Lenhart
2
2
On the stationarity for nonlinear optimization problems with polyhedral constraints
2023 ·Mathematical Programming ·Daniela di Serafino, William W. Hager, Gerardo Toraldo, (unknown)
1
3
Computational Method for Optimal Guidance and Control Using Adaptive Gaussian Quadrature Collocation
2019 ·Journal of Guidance Control and Dynamics ·(unknown), William W. Hager, Anil V. Rao
12
4
Norm-bounded tridiagonalizing similarity transformations for matrices
2018 ·Research Showcase @ Carnegie Mellon University (Carnegie Mellon University) ·William W. Hager, (unknown)
0
5
Non-constant Quasi-hyperbolic Discounting
2017 ·ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH ·(unknown), William W. Hager
5
6
Aphmesh refinement method for optimal control
2014 ·Optimal Control Applications and Methods ·Michael Patterson, William W. Hager, Anil V. Rao
131
7
Dynamic Supernodes in Sparse Cholesky Update/Downdate and Triangular Solves
2009 ·ACM Transactions on Mathematical Software ·Timothy A. Davis, William W. Hager
91
8
Development of the Langmuir Electric Field Array (LEFA)
2009 ·AGUFM ·Richard Sonnenfeld, K. Eack, (unknown), H. E. Edens, William W. Hager, S. J. Hunyady, (unknown), Jeff Lapierre, (unknown), (unknown), (unknown), (unknown)
1
9
A differential equation model for functional mapping of a virus-cell dynamic system
2009 ·Journal of Mathematical Biology ·Jiangtao Luo, William W. Hager, Rongling Wu
16
10
Algorithm 887 breakdown →
2008 ·ACM Transactions on Mathematical Software ·Yanqing Chen, Timothy A. Davis, William W. Hager, Sivasankaran Rajamanickam
530
11
BOX CONSTRAINED OPTIMIZATION FOR SIGNAL DETECTION IN MIMO CHANNELS
2007 ·(unknown), Hongchao Zhang, William W. Hager, Dong Seog Han
4
12
A generalized eigenproblem for the Laplacian which arises in lightning
2007 ·Journal of Mathematical Analysis and Applications ·(unknown), William W. Hager, Shari Moskow
14
13
Optimization of generalized mean square error in signal processing and communication
2006 ·Linear Algebra and its Applications ·William W. Hager, Yong Liu, Tan F. Wong
3
14
Analysis of Charge Transport during Lightning Using Balloon Borne Electric Field Sensors and LMA
2006 ·AGU Fall Meeting Abstracts ·William W. Hager, Richard Sonnenfeld, (unknown), Guoyang Lu, W. P. Winn
3
15
The geometric mean decomposition
2004 ·Linear Algebra and its Applications ·Yi Jiang, William W. Hager, Jian Li
101
16
Large scale optimization : state of the art
1994 ·Kluwer Academic eBooks ·William W. Hager, Donald W. Hearn, P. M. Pardalos
125
17
An inverse mapping theorem for set-valued maps
1994 ·Proceedings of the American Mathematical Society ·Asen L. Dontchev, William W. Hager
93
18
A derivative-free bracketing scheme for univariate minimization
1990 ·Computers & Mathematics with Applications ·(unknown), William W. Hager
4
19
A derivative-based bracketing scheme for univariate minimization and the conjugate gradient method
1989 ·Computers & Mathematics with Applications ·William W. Hager
14
20
Perturbation in eigenvalues
1982 ·Linear Algebra and its Applications ·William W. Hager, (unknown)
5

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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