Roman A. Polyak

1.0k citations

32 papers · 605 indexed · h-index 12

Impact in

Numerical Analysis top 2%
- Advanced Optimization Algorithms Research
- Iterative Methods for Nonlinear Equations
Computational Theory and Mathematics top 2%
- Optimization and Variational Analysis
- Matrix Theory and Algorithms

Papers in

Numerical Analysis 23
- Advanced Optimization Algorithms Research 23
- Iterative Methods for Nonlinear Equations 4
Computational Theory and Mathematics 21
- Optimization and Variational Analysis 17
- Matrix Theory and Algorithms 4
- Advanced Multi-Objective Optimization Algorithms 3

Co-authors: Igor Griva Marc Teboulle A. Melman M. M. Adibi Lamine Mili Donald Goldfarb Katya Scheinberg Jaroslaw Sobieszczanski‐Sobieski
Journals: Mathematical Programming (5 papers)Computational Optimization and Applications (2 papers)Optimization Letters (2 papers)Annals of Operations Research (2 papers)Journal of Optimization Theory and Applications (2 papers)
Partner nations: United States Israel

In The Last Decade

Roman A. Polyak

29 papers receiving 552 citations

Peers

Countries citing papers authored by Roman A. Polyak

Since Specialization

Citations

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

Fields of papers citing papers by Roman A. Polyak

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authors

The 11 scholars most cited alongside Roman A. 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 Roman A. Polyak Line = papers co-authored together Roman A. Polyak links everyone, so they are left out of the graph.

All Works

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20 of 20 papers shown

#	Work
1	Introduction to Continuous Optimization Springer optimization and its applications ·Roman A. Polyak	2021	9
2	Lagrangian Transformation and Interior Ellipsoid Methods in Convex Optimization Journal of Optimization Theory and Applications ·Roman A. Polyak	2014	4
3	Proximal point nonlinear rescaling method for convex optimization Numerical Algebra Control and Optimization ·Igor Griva, Roman A. Polyak	2011	0
4	On the local quadratic convergence of the primal–dual augmented Lagrangian method Optimization methods & software ·Roman A. Polyak	2009	2
5	Primal–dual exterior point method for convex optimization Optimization methods & software ·Roman A. Polyak	2007	7
6	Nonlinear Rescaling as Interior Quadratic Prox Method in Convex Optimization Computational Optimization and Applications ·Roman A. Polyak	2006	5
7	Support vector machine via nonlinear rescaling method Optimization Letters ·Roman A. Polyak, Shen-Shyang Ho, Igor Griva	2006	4
8	1.5-Q-superlinear convergence of an exterior-point method for constrained optimization Journal of Global Optimization ·Igor Griva, Roman A. Polyak	2006	7
9	Primal-dual nonlinear rescaling method with dynamic scaling parameter update Mathematical Programming ·Igor Griva, Roman A. Polyak	2005	36
10	Finding an equilibrium in a linear exchange market model using modified barrier function G. F. Wates, Jean Touscoz, Maria Biardzka, Ermatova Munojat Qosimovna, Roman A. Polyak	2005	2
11	Primal-Dual Nonlinear Rescaling Method for Convex Optimization Journal of Optimization Theory and Applications ·Roman A. Polyak, Igor Griva	2004	24
12	Remote Blackstart of Steam Electric Station Using Modified Barrier-Augmented Lagrangian Method M. M. Adibi, Igor Griva, Roman A. Polyak, Ilas Suningrat, Lamine Mili	2002	2
13	Nonlinear rescaling vs. smoothing technique in convex optimization Mathematical Programming ·Roman A. Polyak	2002	39
14	The Newton log-sigmoid method in constrained optimization 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization ·Roman A. Polyak, Igor Griva, Jaroslaw Sobieszczanski‐Sobieski	1998	7
15	Nonlinear rescaling and proximal-like methods in convex optimization Mathematical Programming ·Roman A. Polyak, Marc Teboulle	1997	56
16	The convergence of a modified barrier method for convex programming IBM Journal of Research and Development ·V. I. Tkach, Roman A. Polyak	1994	12
17	Application of newton modified barrier method to structural optimization Computers & Structures ·N. S. Khot, Roman A. Polyak, Zhong Yu, L. Berke	1993	1
18	Modified barrier functions (theory and methods) Mathematical Programming ·Roman A. Polyak	1992	176
19	Newton modified barrier method in constrained optimization NASA Technical Reports Server (NASA) ·Roman A. Polyak	1990	1
20	Control sequence methods in constrained extremal problems USSR Computational Mathematics and Mathematical Physics ·Roman A. Polyak	1978	1

About Roman A. Polyak

Roman A. Polyak is a scholar working on Numerical Analysis, Computational Theory and Mathematics, Computational Mechanics, Statistics, Probability and Uncertainty and Modeling and Simulation, having authored 32 papers that have together received 605 indexed citations. Recurring topics across this work include Advanced Optimization Algorithms Research (23 papers), Optimization and Variational Analysis (17 papers), Sparse and Compressive Sensing Techniques (11 papers), Iterative Methods for Nonlinear Equations (4 papers), Matrix Theory and Algorithms (4 papers), Topology Optimization in Engineering (3 papers), Advanced Multi-Objective Optimization Algorithms (3 papers) and Optimal Power Flow Distribution (3 papers). The work is most often cited by research in Numerical Analysis (404 citations), Computational Theory and Mathematics (347 citations), Computational Mechanics (173 citations), Modeling and Simulation (24 citations) and Statistics, Probability and Uncertainty (30 citations). Roman A. Polyak has collaborated with scholars based in United States and Israel. Frequent co-authors include Igor Griva, Marc Teboulle, A. Melman, M. M. Adibi, Lamine Mili, Donald Goldfarb, Katya Scheinberg, Jaroslaw Sobieszczanski‐Sobieski, Shen-Shyang Ho and N. S. Khot. Their work appears in journals such as Mathematical Programming, Computational Optimization and Applications, Optimization Letters, Annals of Operations Research and Journal of Optimization Theory and Applications.

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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