B. T. Polyak

11.5k citations
94 papers · 7.4k · 6 hit papers · h-index 28

Impact in

Papers in

    • Stability and Control of Uncertain Systems 32
    • Control Systems and Identification 14
    • Advanced Control Systems Optimization 11
    • Advanced Optimization Algorithms Research 26
    • Numerical methods for differential equations 11

B. T. Polyak

89 papers receiving 6.8k citations

B. T. Polyak's Hit Papers

Cubic regularization of Newton method and its global performance 2006 · 401 citations
4010+20+41Years since publication50010001.5k

Peers

B. T. Polyak
Comparison fields: 5 of 150
  • Numerical Analysis 2.6k
  • Computational Theory and Mathematics 2.4k
  • Computational Mechanics 2.0k
  • Computational Mathematics 39
  • Mathematical Physics 554
Replace Claude Lemaréchal with:
Claude Lemaréchal France
Adrian S. Lewis United States
Paul Tseng United States
Jean‐Baptiste Hiriart‐Urruty France
Andrew R. Conn United States
Yu. Nesterov Belgium
Yurii Nesterov Belgium
Xiaojun Chen China
E. Polak United States
Kim-Chuan Toh Singapore
B. T. Polyak relative to Claude Lemaréchal France Claude Lemaréchal's profile →
Citations per field
00.5×5.5×
Claude Lemaréchal · 1×
Citations per year

Countries citing papers authored by B. T. Polyak

Since Specialization
Citations

This map shows the geographic impact of B. T. Polyak'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 B. T. Polyak with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites B. T. Polyak more than expected).

Fields of papers citing papers by B. T. Polyak

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by B. T. Polyak. 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 B. T. Polyak. The network helps show where B. T. Polyak may publish in the future.

Co-authors

The 25 scholars most cited alongside B. T. Polyak, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with B. T. Polyak Line = papers co-authored together B. T. Polyak links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 94 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Some methods of speeding up the convergence of iteration methods
Hit paper breakdown →
19641621
2
Acceleration of Stochastic Approximation by Averaging
Hit paper breakdown →
19921045
3
The conjugate gradient method in extremal problems
Hit paper breakdown →
1969891
4
Constrained minimization methods
Hit paper breakdown →
1966613
5
The method of projections for finding the common point of convex sets
Hit paper breakdown →
1967569
6 1969440
7
Cubic regularization of Newton method and its global performance
Hit paper breakdown →
2006401
8 1998156
9 2001131
10 2006112
11 2007106
12 2001101
13 199179
14 200874
15 200871
16 196455
17 200549
18 200249
19 201046
20 200142

About B. T. Polyak

B. T. Polyak is a scholar working on Control and Systems Engineering, Numerical Analysis, Computational Theory and Mathematics, Artificial Intelligence and Statistics and Probability, having authored 94 papers that have together received 7.4k indexed citations. Recurring topics across this work include Stability and Control of Uncertain Systems (32 papers), Advanced Optimization Algorithms Research (26 papers), Matrix Theory and Algorithms (20 papers), Control Systems and Identification (14 papers), Numerical methods for differential equations (11 papers), Advanced Control Systems Optimization (11 papers), Stochastic Gradient Optimization Techniques (8 papers) and Optimization and Variational Analysis (8 papers). The work is most often cited by research in Numerical Analysis (2.6k citations), Computational Theory and Mathematics (2.4k citations), Computational Mechanics (2.0k citations), Computational Mathematics (39 citations) and Mathematical Physics (554 citations). B. T. Polyak has collaborated with scholars based in Russia, Italy and United States. Frequent co-authors include Anatoli Juditsky, E. S. Levitin, Yurii Nesterov, Pavel Shcherbakov, Elena Gryazina, Roberto Tempo, Giuseppe C. Calafiore, Sergey A. Nazin, Yakov Z. Tsypkin and M. V. Khlebnikov. Their work appears in journals such as IEEE Transactions on Automatic Control, The Journal of Difference Equations and Applications, Automation and Remote Control, Journal of Optimization Theory and Applications and Lecture notes in control and information sciences.

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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