Richard H. Byrd

20.1k total citations · 6 hit papers
69 papers, 12.4k citations indexed

About

Richard H. Byrd is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Computational Mechanics. According to data from OpenAlex, Richard H. Byrd has authored 69 papers receiving a total of 12.4k indexed citations (citations by other indexed papers that have themselves been cited), including 51 papers in Numerical Analysis, 40 papers in Computational Theory and Mathematics and 15 papers in Computational Mechanics. Recurrent topics in Richard H. Byrd's work include Advanced Optimization Algorithms Research (50 papers), Matrix Theory and Algorithms (18 papers) and Optimization and Variational Analysis (16 papers). Richard H. Byrd is often cited by papers focused on Advanced Optimization Algorithms Research (50 papers), Matrix Theory and Algorithms (18 papers) and Optimization and Variational Analysis (16 papers). Richard H. Byrd collaborates with scholars based in United States, United Kingdom and Türkiye. Richard H. Byrd's co-authors include Jorge Nocedal, Ciyou Zhu, Robert B. Schnabel, Jean Charles Gilbert, Gerald A. Shultz, Paul T. Boggs, Ya-xiang Yuan, Richard A. Waltz, Samantha Hansen and Yaron Singer and has published in prestigious journals such as The Journal of Chemical Physics, Operations Research and SIAM Journal on Numerical Analysis.

In The Last Decade

Richard H. Byrd

67 papers receiving 11.6k citations

Hit Papers

5 papers align trajectories

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.

A Limited Memory Algorithm for Bound Constrained Optimization

1995 4.0k citations Richard H. Byrd, Jorge Nocedal et al. SIAM Journal on Scientific Computing profile →
Algorithm 778: L-BFGS-B

1997 2.2k citations Ciyou Zhu, Richard H. Byrd et al. ACM Transactions on Mathematical Software profile →
An Interior Point Algorithm for Large-Scale Nonlinear Programming

1999 1.2k citations Richard H. Byrd, Jorge Nocedal et al. profile →
A trust region method based on interior point techniques for nonlinear programming

2000 1.2k citations Richard H. Byrd, Jorge Nocedal et al. Mathematical Programming profile →
Representations of quasi-Newton matrices and their use in limited memory methods

1994 491 citations Richard H. Byrd, Jorge Nocedal et al. Mathematical Programming profile →
A Stochastic Quasi-Newton Method for Large-Scale Optimization

2016 225 citations Richard H. Byrd, Jorge Nocedal et al. profile →

Peers

Countries citing papers authored by Richard H. Byrd

Since Specialization

Citations

This map shows the geographic impact of Richard H. Byrd'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 Richard H. Byrd with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Richard H. Byrd more than expected).

Fields of papers citing papers by Richard H. Byrd

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Richard H. Byrd. 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 Richard H. Byrd. The network helps show where Richard H. Byrd may publish in the future.

Co-authorship network of co-authors of Richard H. Byrd

This figure shows the co-authorship network connecting the top 25 collaborators of Richard H. Byrd. A scholar is included among the top collaborators of Richard H. Byrd 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 Richard H. Byrd. Richard H. Byrd is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

#	Work	Indexed citations
1	An algorithm for quadratic ℓ₁-regularized optimization with a flexible active-set strategy 2015 ·Optimization methods & software ·Stefan K. Solntsev, Jorge Nocedal, Richard H. Byrd	16
2	An active-set algorithm for nonlinear programming using parametric linear programming 2009 ·Optimization methods & software ·Richard H. Byrd, Richard A. Waltz	12
3	Steering exact penalty methods for nonlinear programming 2008 ·Optimization methods & software ·Richard H. Byrd, Jorge Nocedal, Richard A. Waltz	58
4	An inexact Newton method for nonconvex equality constrained optimization 2008 ·Mathematical Programming ·Richard H. Byrd, Frank E. Curtis, Jorge Nocedal	33
5	A Preconditioned L-BFGS Algorithm with Application to Molecular Energy Minimization ; CU-CS-982-04 2004 ·CU Scholar (University of Colorado Boulder) ·(unknown), Richard H. Byrd, Elizabeth Eskow, Robert B. Schnabel	1
6	Algorithm 778: L-BFGS-B breakdown → 1997 ·ACM Transactions on Mathematical Software ·Ciyou Zhu, Richard H. Byrd, (unknown), Jorge Nocedal	2249
7	A parallel global optimization method for solving molecular cluster and polymer conformation problems 1995 ·PPSC ·Richard H. Byrd, Elizabeth Eskow, André van der Hoek, Robert B. Schnabel, (unknown)	10
8	A Limited Memory Algorithm for Bound Constrained Optimization breakdown → 1995 ·SIAM Journal on Scientific Computing ·Richard H. Byrd, (unknown), Jorge Nocedal, Ciyou Zhu	4038
9	Parallel global optimization: numerical methods, dynamic scheduling methods, and application to molecular configuration 1994 ·Defense Technical Information Center (DTIC) ·Richard H. Byrd, Elizabeth Eskow, Robert B. Schnabel, Sharon L. Smith	11
10	Practical Update Criteria for Reduced Hessian SQP, Part I: Global Analysis ; CU-CS-753-94 1994 ·CU Scholar (University of Colorado Boulder) ·Yuanfu Xie, Richard H. Byrd	2
11	Parallel Global Optimization Methods for Molecular Configuration Problems. 1993 ·PPSC ·Richard H. Byrd, (unknown), Elizabeth Eskow, (unknown), Robert B. Schnabel, (unknown)	5
12	Representations of Quasi-Newton Matrices and Their Use in Limited Memory Methods ; CU-CS-612-92 1992 ·CU Scholar (University of Colorado Boulder) ·Richard H. Byrd, Jorge Nocedal, Robert B. Schnabel	6
13	A Theoretical and Experimental Study of the Symmetric Rank One Update ; CU-CS-489-90 1990 ·CU Scholar (University of Colorado Boulder) ·(unknown), Richard H. Byrd, Robert B. Schnabel	1
14	An analysis of reduced Hessian methods for constrained optimization 1990 ·Mathematical Programming ·Richard H. Byrd, Jorge Nocedal	59
15	Approximate solution of the trust region problem by minimization over two-dimensional subspaces 1988 ·Mathematical Programming ·Richard H. Byrd, Robert B. Schnabel, Gerald A. Shultz	312
16	Technical Note—Recognizing Unbounded Integer Programs 1987 ·Operations Research ·Richard H. Byrd, A. J. Goldman, (unknown)	3
17	Numerical optimization 1984 : proceedings of the SIAM Conference on Numerical Optimization, Boulder, Colorado, June 12-14, 1984 1985 ·Paul T. Boggs, Richard H. Byrd, Robert B. Schnabel	1
18	A Trust Region Algorithm for Nonlinearly Constrained Optimization ; CU-CS-313-85 1985 ·CU Scholar (University of Colorado Boulder) ·Richard H. Byrd, Robert B. Schnabel, Gerald A. Shultz	1
19	Minimum-Loop Realization of Degree Sequences 1982 ·Journal of Research of the National Bureau of Standards ·A. J. Goldman, Richard H. Byrd	3
20	An extension of Curry's theorem to steepest descent in normed linear spaces 1975 ·Mathematical Programming ·Richard H. Byrd, R. A. Tapia	7

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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