R. Fletcher

26.2k total citations · 7 hit papers
83 papers, 18.0k citations indexed

About

R. Fletcher is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Control and Systems Engineering. According to data from OpenAlex, R. Fletcher has authored 83 papers receiving a total of 18.0k indexed citations (citations by other indexed papers that have themselves been cited), including 58 papers in Numerical Analysis, 45 papers in Computational Theory and Mathematics and 18 papers in Control and Systems Engineering. Recurrent topics in R. Fletcher's work include Advanced Optimization Algorithms Research (54 papers), Matrix Theory and Algorithms (29 papers) and Iterative Methods for Nonlinear Equations (13 papers). R. Fletcher is often cited by papers focused on Advanced Optimization Algorithms Research (54 papers), Matrix Theory and Algorithms (29 papers) and Iterative Methods for Nonlinear Equations (13 papers). R. Fletcher collaborates with scholars based in United Kingdom, United States and China. R. Fletcher's co-authors include M. J. D. Powell, Christoph Witzgall, Sven Leyffer, Yu‐Hong Dai, Philippe L. Toint, M. Al-Baali, Nicholas I. M. Gould, Andreas Wächter, D. Ralph and Stefan Scholtes and has published in prestigious journals such as The Journal of Chemical Physics, Journal of the American Statistical Association and Communications of the ACM.

In The Last Decade

R. Fletcher

82 papers receiving 16.2k citations

Hit Papers

A Rapidly Convergent Desc... 1963 2026 1984 2005 1963 1964 1970 1989 1987 1000 2.0k 3.0k
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 Rapidly Convergent Descent Method for Minimization
    1963 3.5k citations R. Fletcher et al. The Computer Journal profile →
  2. Function minimization by conjugate gradients
    1964 3.4k citations R. Fletcher The Computer Journal profile →
  3. A new approach to variable metric algorithms
    1970 2.9k citations R. Fletcher The Computer Journal profile →
  4. Practical Methods of Optimization.
    1989 2.9k citations R. Fletcher et al. Mathematics of Computation profile →
  5. Practical methods of optimization; (2nd ed.)
    1987 760 citations R. Fletcher Wiley-Interscience eBooks profile →
  6. Nonlinear programming without a penalty function
    2002 583 citations R. Fletcher, Sven Leyffer Mathematical Programming profile →
  7. Solving mixed integer nonlinear programs by outer approximation
    1994 461 citations R. Fletcher, Sven Leyffer Mathematical Programming profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
R. Fletcher United Kingdom 38 5.1k 4.6k 2.7k 2.6k 2.0k 83 18.0k
M. J. D. Powell United Kingdom 41 4.0k 0.8× 3.9k 0.8× 1.9k 0.7× 2.7k 1.0× 2.4k 1.2× 101 17.5k
J. E. Dennis United States 40 4.9k 1.0× 6.8k 1.5× 2.5k 0.9× 2.4k 0.9× 3.0k 1.5× 86 18.0k
Richard H. Byrd United States 32 2.4k 0.5× 2.3k 0.5× 1.2k 0.4× 1.8k 0.7× 2.0k 1.0× 69 12.4k
J. M. Martı́nez Brazil 40 4.1k 0.8× 4.2k 0.9× 809 0.3× 2.2k 0.8× 815 0.4× 234 15.7k
Jorge Nocedal United States 44 6.3k 1.2× 6.4k 1.4× 4.4k 1.6× 6.0k 2.3× 6.1k 3.0× 105 37.3k
C Moler United States 25 1.9k 0.4× 2.9k 0.6× 1.2k 0.5× 1.8k 0.7× 942 0.5× 60 11.5k
Stephen J. Wright United Kingdom 16 1.8k 0.4× 2.1k 0.5× 2.4k 0.9× 2.5k 0.9× 2.0k 1.0× 48 14.8k
Gilbert Strang United States 43 2.0k 0.4× 3.0k 0.6× 1.4k 0.5× 5.0k 1.9× 960 0.5× 185 18.6k
Walter Rudin United States 37 2.1k 0.4× 4.6k 1.0× 2.3k 0.8× 1.3k 0.5× 1.8k 0.9× 183 24.2k
Jorge J. Morè United States 38 7.0k 1.4× 6.0k 1.3× 1.5k 0.6× 2.9k 1.1× 1.7k 0.8× 66 13.3k

Countries citing papers authored by R. Fletcher

Since Specialization
Citations

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

Fields of papers citing papers by R. Fletcher

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by R. Fletcher. 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 R. Fletcher. The network helps show where R. Fletcher may publish in the future.

Co-authorship network of co-authors of R. Fletcher

This figure shows the co-authorship network connecting the top 25 collaborators of R. Fletcher. A scholar is included among the top collaborators of R. Fletcher 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 R. Fletcher. R. Fletcher 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
1.
Fletcher, R.. (2012). A Sequential Linear Constraint Programming Algorithm for NLP. SIAM Journal on Optimization. 22(3). 772–794. 9 indexed citations
2.
Fletcher, R. & Gaetano Zanghirati. (2010). Binary separation and training support vector machines. Acta Numerica. 19. 121–158. 5 indexed citations
3.
Al‐Homidan, Suliman & R. Fletcher. (2006). Rationalizing foot and ankle measurements to conform to a rigid body model. Computer Methods in Biomechanics & Biomedical Engineering. 9(2). 103–111. 2 indexed citations
4.
Dai, Yu‐Hong & R. Fletcher. (2005). New algorithms for singly linearly constrained quadratic programs subject to lower and upper bounds. Mathematical Programming. 106(3). 403–421. 112 indexed citations
5.
Fletcher, R., Sven Leyffer, & Philippe L. Toint. (2002). On the Global Convergence of a Filter--SQP Algorithm. SIAM Journal on Optimization. 13(1). 44–59. 241 indexed citations
6.
Fletcher, R., et al.. (1999). Global Convergence of Trust-Region SQP-Filter Algorithms for General Nonlinear Programming. CERN Document Server (European Organization for Nuclear Research). 9 indexed citations
7.
Fletcher, R.. (1995). An Optimal Positive Definite Update for Sparse Hessian Matrices. SIAM Journal on Optimization. 5(1). 192–218. 34 indexed citations
8.
Fletcher, R.. (1988). Degeneracy in the presence of roundoff errors. Linear Algebra and its Applications. 106. 149–183. 9 indexed citations
9.
Fletcher, R.. (1987). Practical methods of optimization; (2nd ed.). Wiley-Interscience eBooks. 760 indexed citations breakdown →
10.
Fletcher, R. & S. Matthews. (1985). A stable algorithm for updating triangular factors under a rank one change. Mathematics of Computation. 45(172). 471–485. 3 indexed citations
11.
Bell, Stephen G., James S. Crighton, & R. Fletcher. (1981). A new efficient method for locating saddle points. Chemical Physics Letters. 82(1). 122–126. 42 indexed citations
12.
Fletcher, R. & James W. Sinclair. (1981). Degenerate values for broyden methods. Journal of Optimization Theory and Applications. 33(3). 311–324. 1 indexed citations
13.
Holt, J. N. & R. Fletcher. (1979). An Algorithm for Constrained Non-Linear Least-Squares. IMA Journal of Applied Mathematics. 23(4). 449–463. 7 indexed citations
14.
Fletcher, R.. (1975). On the Iterative Refinement of Least Squares Solutions. Journal of the American Statistical Association. 70(349). 109–112. 7 indexed citations
15.
Fletcher, R., et al.. (1974). The continuity and differentiability of the parameters of best linear L approximations. Journal of Approximation Theory. 10(1). 69–73. 3 indexed citations
16.
Fletcher, R.. (1971). The calculation of linear best Lp approximations. The Computer Journal. 14(3). 276–279. 42 indexed citations
17.
Fletcher, R.. (1971). A modified Marquardt subroutine for non-linear least squares. 159 indexed citations
18.
Fletcher, R.. (1969). A Technique for Orthogonalization. IMA Journal of Applied Mathematics. 5(2). 162–166. 14 indexed citations
19.
Fletcher, R.. (1968). Generalized inverse methods for the best least squares solution of systems of non-linear equations. The Computer Journal. 10(4). 392–399. 44 indexed citations
20.
Reeves, C. M. & R. Fletcher. (1965). Use of Gaussian Functions in the Calculation of Wavefunctions for Small Molecules. III. The Orbital Basis and Its Effect on Valence. The Journal of Chemical Physics. 42(12). 4073–4081. 40 indexed citations

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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