Boris T. Polyak

11.7k citations
103 papers · 7.7k · 6 hit papers · h-index 27

Impact in

Papers in

    • Advanced Optimization Algorithms Research 31
    • Numerical methods for differential equations 11
    • Iterative Methods for Nonlinear Equations 10
    • Stability and Control of Uncertain Systems 32
    • Control Systems and Identification 14
    • Advanced Control Systems Optimization 11

Boris T. Polyak

96 papers receiving 7.1k citations

Boris T. Polyak's Hit Papers

Cubic regularization of Newton method and its global performance 2006 · 446 citations
4460+20+41Years since publication50010001.5k

Peers

Boris T. Polyak
Comparison fields: 5 of 153
  • Numerical Analysis 2.7k
  • Computational Theory and Mathematics 2.5k
  • Computational Mechanics 2.1k
  • Computational Mathematics 41
  • Mathematical Physics 557
Replace Claude Lemaréchal with:
Claude Lemaréchal France
Adrian S. Lewis United States
Paul Tseng United States
Jean‐Baptiste Hiriart‐Urruty France
Yu. Nesterov Belgium
Andrew R. Conn United States
Yurii E. Nesterov Belgium
Xiaojun Chen China
Elijah Polak United States
Kim-Chuan Toh Singapore
Boris T. Polyak relative to Claude Lemaréchal France Claude Lemaréchal's profile →
Citations per field
00.5×2×4×5.4×
Claude Lemaréchal · 1×
Citations per year

Countries citing papers authored by Boris T. Polyak

Since Specialization
Citations

This map shows the geographic impact of Boris 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 Boris 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 Boris T. Polyak more than expected).

Fields of papers citing papers by Boris T. Polyak

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authors

The 25 scholars most cited alongside Boris 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 Boris T. Polyak Line = papers co-authored together Boris 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 103 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 →
19641716
2
Acceleration of Stochastic Approximation by Averaging
Hit paper breakdown →
19921114
3
The conjugate gradient method in extremal problems
Hit paper breakdown →
1969898
4
Constrained minimization methods
Hit paper breakdown →
1966619
5
The method of projections for finding the common point of convex sets
Hit paper breakdown →
1967572
6
Cubic regularization of Newton method and its global performance
Hit paper breakdown →
2006446
7 1969441
8 1998162
9 2001130
10 2006121
11 2007107
12 2001102
13 199180
14 200877
15 200872
16 196461
17 200250
18 200548
19 201047
20 200147

About Boris T. Polyak

Boris T. Polyak is a scholar working on Numerical Analysis, Control and Systems Engineering, Computational Theory and Mathematics, Statistics and Probability and Applied Mathematics, having authored 103 papers that have together received 7.7k indexed citations. Recurring topics across this work include Stability and Control of Uncertain Systems (32 papers), Advanced Optimization Algorithms Research (31 papers), Matrix Theory and Algorithms (23 papers), Control Systems and Identification (14 papers), Numerical methods for differential equations (11 papers), Advanced Control Systems Optimization (11 papers), Iterative Methods for Nonlinear Equations (10 papers) and Optimization and Variational Analysis (10 papers). The work is most often cited by research in Numerical Analysis (2.7k citations), Computational Theory and Mathematics (2.5k citations), Computational Mechanics (2.1k citations), Computational Mathematics (41 citations) and Mathematical Physics (557 citations). Boris T. Polyak has collaborated with scholars based in Russia, Italy and United States. Frequent co-authors include Anatoli Juditsky, E. S. Levitin, Yurii E. Nesterov, Pavel Sergeevich Shcherbakov, Elena N. Gryazina, Roberto Tempo, Giuseppe C. Calafiore, Sergey A. Nazin, Yakov Z. Tsypkin and Mikhail 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, Mathematical Programming and European Journal of Operational Research.

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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