Topics Advanced Optimization Algorithms Research (54 papers) Matrix Theory and Algorithms (29 papers) Iterative Methods for Nonlinear Equations (13 papers) Overview Impact Standout Papers Peers Geography Research Space Co-Authors Works Hit Papers A Rapidly Convergent Descent Method for Minimization 1963 2026 1984 2005 1963 1964 1970 1989 1987 1000 2.0k 3.0k Peers R. Fletcher
Comparison fields: 5 of 213 Numerical Analysis 5.1k Computational Theory and Mathematics 4.6k Control and Systems Engineering 2.7k Computational Mechanics 2.6k Artificial Intelligence 2.0k Electrical and Electronic Engineering 1.7k Materials Chemistry 1.6k Atomic and Molecular Physics, and Optics 1.5k Computer Vision and Pattern Recognition 1.1k Molecular Biology 949 Mechanical Engineering 939 Aerospace Engineering 924 Civil and Structural Engineering 922 Biomedical Engineering 881 Mechanics of Materials 759 Organic Chemistry 732 Statistics, Probability and Uncertainty 716 Spectroscopy 583 Signal Processing 559 Management Science and Operations Research 549 Ocean Engineering 497 Physical and Theoretical Chemistry 481 Computer Networks and Communications 478 Statistical and Nonlinear Physics 463 Statistics and Probability 446 Geophysics 438 Mathematical Physics 431 Environmental Engineering 385 Electronic, Optical and Magnetic Materials 362 Industrial and Manufacturing Engineering 322 Applied Mathematics 321 Atmospheric Science 316 Economics and Econometrics 284 Inorganic Chemistry 268 Radiology, Nuclear Medicine and Imaging 230 Global and Planetary Change 224 Modeling and Simulation 217 Condensed Matter Physics 192 Analytical Chemistry 178 Automotive Engineering 172 Finance 146 Astronomy and Astrophysics 144 Nuclear and High Energy Physics 141 Renewable Energy, Sustainability and the Environment 138 Water Science and Technology 137 Media Technology 134 Oceanography 131 Transportation 130 Building and Construction 128 Safety, Risk, Reliability and Quality 127 Catalysis 126 Polymers and Plastics 123 Radiation 121 Biophysics 113 Ecology 112 Ceramics and Composites 108 Computer Graphics and Computer-Aided Design 108 General Economics, Econometrics and Finance 93 Plant Science 86 Cognitive Neuroscience 86 Biomaterials 83 Cellular and Molecular Neuroscience 83 Genetics 81 Fluid Flow and Transfer Processes 80 Food Science 78 Hardware and Architecture 75 Oncology 75 Management Information Systems 72 Surfaces, Coatings and Films 69 Cell Biology 65 Cardiology and Cardiovascular Medicine 63 Information Systems 62 Geometry and Topology 61 Surgery 61 Pulmonary and Respiratory Medicine 54 Industrial and Manufacturing Engineering 53 Infectious Diseases 50 Physiology 50 Environmental Chemistry 48 Electrochemistry 45 Organizational Behavior and Human Resource Management 45 Bioengineering 44 Computational Mathematics 43 Pharmacology 43 Nature and Landscape Conservation 42 Epidemiology 40 Marketing 40 Management, Monitoring, Policy and Law 39 Sociology and Political Science 37 Public Health, Environmental and Occupational Health 34 Health, Toxicology and Mutagenesis 34 Endocrinology, Diabetes and Metabolism 34 Strategy and Management 34 Software 33 Immunology 28 Insect Science 28 Filtration and Separation 28 Pharmaceutical Science 28 Social Psychology 26 Demography 26 Soil Science 23 Pharmacology 22 Molecular Medicine 22 Biotechnology 22 Ecology, Evolution, Behavior and Systematics 22 Energy Engineering and Power Technology 22 Accounting 21 Pollution 21 Earth-Surface Processes 20 Instrumentation 20 Pediatrics, Perinatology and Child Health 20 Nutrition and Dietetics 19 General Health Professions 19 Virology 19 Geology 17 Experimental and Cognitive Psychology 17 Biochemistry 16 Human-Computer Interaction 16 Animal Science and Zoology 15 Geochemistry and Petrology 15 Structural Biology 14 General Decision Sciences 14 General Materials Science 13 Cancer Research 13 Pathology and Forensic Medicine 12 Endocrine and Autonomic Systems 12 Health 12 Education 12 General Agricultural and Biological Sciences 12 Management of Technology and Innovation 11 Orthopedics and Sports Medicine 10 Neurology 10 Computer Science Applications 10 Neurology 10 Aquatic Science 10 Geography, Planning and Development 10 Safety Research 10 Genetics 10 Information Systems and Management 9 Complementary and alternative medicine 9 Political Science and International Relations 9 Radiological and Ultrasound Technology 9 Ecological Modeling 9 Physiology 9 Health Information Management 8 Biochemistry 8 Microbiology 8 Toxicology 8 Gender Studies 8 Metals and Alloys 7 Sensory Systems 6 Philosophy 6 Discrete Mathematics and Combinatorics 6 Rheumatology 6 Algebra and Number Theory 6 Hematology 6 Archeology 5 Ophthalmology 5 Nephrology 5 Acoustics and Ultrasonics 5 Physical Therapy, Sports Therapy and Rehabilitation 5 Hepatology 5 Aging 5 Rehabilitation 4 Forestry 4 Psychiatry and Mental health 4 Reproductive Medicine 4 Clinical Biochemistry 4 Applied Psychology 4 Paleontology 4 Oral Surgery 4 Developmental and Educational Psychology 4 Tourism, Leisure and Hospitality Management 4 Endocrinology 3 Immunology and Allergy 3 Geriatrics and Gerontology 3 Urology 3 Agronomy and Crop Science 3 Medical Laboratory Technology 3 Small Animals 3 Urban Studies 3 Process Chemistry and Technology 3 Architecture 3 Clinical Psychology 3 Anesthesiology and Pain Medicine 3 Critical Care and Intensive Care Medicine 2 Speech and Hearing 2 Developmental Neuroscience 2 Theoretical Computer Science 2 Developmental Biology 2 Cultural Studies 2 Obstetrics and Gynecology 2 Orthodontics 2 Emergency Medicine 2 General Energy 2 General Engineering 2 Occupational Therapy 1 Conservation 1 Otorhinolaryngology 1 Emergency Medical Services 1 Development 1 Anthropology 1 Behavioral Neuroscience 1 Business and International Management 1 Music 1 Parasitology 1 Archeology 1 Chemical Health and Safety 1 Gastroenterology 1 Biological Psychiatry 1 Equine 1 Law 1 Fuel Technology 1
Numerical Analysis 5.1k Computational Theory and Mathematics 4.6k Control and Systems Engineering 2.7k Computational Mechanics 2.6k Artificial Intelligence 2.0k M. J. D. Powell United Kingdom
J. E. Dennis United States
Richard H. Byrd United States
J. H. Wilkinson United Kingdom
Werner C. Rheinboldt United States
Robert B. Schnabel United States
Jorge J. Morè United States
Jorge Nocedal United States
Irene A. Stegun United States
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).
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
⚙ Controls 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 Load more (20 of 83) # Work Indexed citations 1 9 2 2 3 112 4 241 5 Global Convergence of Trust-Region SQP-Filter Algorithms for General Nonlinear Programming
9 6 9 7 34 8 38 9 9 10 Practical methods of optimization; (2nd ed.)
breakdown → 760 11 3 12 1 13 2 14 32 15 1975 · Journal of the American Statistical Association · R. Fletcher 7 16 1974 · Journal of Approximation Theory · R. Fletcher , (unknown) , (unknown) 3 17 42 18 A modified Marquardt subroutine for non-linear least squares
159 19 A new approach to variable metric algorithms
breakdown → 2899 20 14
Load more (20 of 83) About R. Fletcher R. Fletcher is a scholar working on Numerical Analysis , Computational Theory and Mathematics and Theoretical Computer Science , having authored 83 papers that have together received 18.0k indexed citations. Recurring topics across this work include Advanced Optimization Algorithms Research (54 papers), Matrix Theory and Algorithms (29 papers) and Iterative Methods for Nonlinear Equations (13 papers). The work is most often cited by research in Numerical Analysis (5.1k citations), Computational Theory and Mathematics (4.6k citations) and Computational Mechanics (2.6k citations). R. Fletcher has collaborated with scholars based in United Kingdom , United States and China . Frequent 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 , Stefan Scholtes and D. Ralph . Their work appears in journals such as The Journal of Chemical Physics , Journal of the American Statistical Association and Communications of the ACM .
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.
Explore authors with similar magnitude of impact Breakdown of academic impact, for papers by M. J. D. Powell Breakdown of academic impact, for papers by J. E. Dennis Breakdown of academic impact, for papers by Richard H. Byrd Breakdown of academic impact, for papers by J. H. Wilkinson Breakdown of academic impact, for papers by C Moler Breakdown of academic impact, for papers by Werner C. Rheinboldt Breakdown of academic impact, for papers by Robert B. Schnabel Breakdown of academic impact, for papers by Jorge J. Morè Breakdown of academic impact, for papers by Jorge Nocedal Breakdown of academic impact, for papers by Irene A. Stegun