Igor Kaporin

705 total citations
35 papers, 460 citations indexed

About

Igor Kaporin is a scholar working on Computational Theory and Mathematics, Computational Mechanics and Numerical Analysis. According to data from OpenAlex, Igor Kaporin has authored 35 papers receiving a total of 460 indexed citations (citations by other indexed papers that have themselves been cited), including 27 papers in Computational Theory and Mathematics, 20 papers in Computational Mechanics and 13 papers in Numerical Analysis. Recurrent topics in Igor Kaporin's work include Matrix Theory and Algorithms (24 papers), Advanced Numerical Methods in Computational Mathematics (16 papers) and Electromagnetic Scattering and Analysis (13 papers). Igor Kaporin is often cited by papers focused on Matrix Theory and Algorithms (24 papers), Advanced Numerical Methods in Computational Mathematics (16 papers) and Electromagnetic Scattering and Analysis (13 papers). Igor Kaporin collaborates with scholars based in Russia, France and Netherlands. Igor Kaporin's co-authors include Owe Axelsson, Nicolas Ray, Dmitry Sokolov, L. Yu. Kolotilina, A. Yu. Yeremin, М. К. Керимов, Yu. M. Nechepurenko and Yu. G. Evtushenko and has published in prestigious journals such as SHILAP Revista de lepidopterología, ACM Transactions on Graphics and SIAM Journal on Numerical Analysis.

In The Last Decade

Igor Kaporin

31 papers receiving 396 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Igor Kaporin Russia 12 319 214 159 114 38 35 460
David Day United States 11 298 0.9× 204 1.0× 152 1.0× 166 1.5× 8 0.2× 31 567
Wei-Pai Tang United States 13 341 1.1× 281 1.3× 200 1.3× 104 0.9× 11 0.3× 22 500
Yuanzhe Xi United States 13 266 0.8× 117 0.5× 216 1.4× 48 0.4× 10 0.3× 36 390
M. Arioli United Kingdom 14 440 1.4× 241 1.1× 130 0.8× 261 2.3× 5 0.1× 29 590
T. Pals United States 5 188 0.6× 108 0.5× 220 1.4× 23 0.2× 10 0.3× 7 341
Moshe Dubiner Israel 9 109 0.3× 333 1.6× 46 0.3× 82 0.7× 11 0.3× 14 655
Jacob B. Schroder United States 16 271 0.8× 435 2.0× 43 0.3× 244 2.1× 18 0.5× 39 630
Hua Xiang China 14 285 0.9× 194 0.9× 71 0.4× 84 0.7× 3 0.1× 55 537
Warren E. Ferguson United States 9 138 0.4× 53 0.2× 108 0.7× 46 0.4× 9 0.2× 21 317
Gunhild Lindskog Sweden 5 323 1.0× 213 1.0× 137 0.9× 136 1.2× 4 0.1× 11 423

Countries citing papers authored by Igor Kaporin

Since Specialization
Citations

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

Fields of papers citing papers by Igor Kaporin

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Igor Kaporin

This figure shows the co-authorship network connecting the top 25 collaborators of Igor Kaporin. A scholar is included among the top collaborators of Igor Kaporin 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 Igor Kaporin. Igor Kaporin 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.
Kaporin, Igor. (2024). Finding Complex-Valued Solutions of Brent Equations Using Nonlinear Least Squares. Computational Mathematics and Mathematical Physics. 64(9). 1881–1891.
2.
Kaporin, Igor, et al.. (2023). In the Quest for Scale-optimal Mappings. ACM Transactions on Graphics. 43(1). 1–16. 1 indexed citations
3.
Kaporin, Igor, et al.. (2021). Foldover-free maps in 50 lines of code. ACM Transactions on Graphics. 40(4). 1–16. 3 indexed citations
4.
Kaporin, Igor, et al.. (2021). Foldover-free maps in 50 lines of code. ACM Transactions on Graphics. 40(4). 1–16. 32 indexed citations
5.
Kaporin, Igor. (2020). Preconditioned Subspace Descent Method for Nonlinear Systems of Equations. SHILAP Revista de lepidopterología. 10(1). 71–81. 1 indexed citations
6.
Kaporin, Igor, et al.. (2019). MPI+OpenMP implementation of the BiCGStab method with explicit preconditioning for the numerical solution of sparse linear systems. Vyčislitelʹnye metody i programmirovanie. 516–527. 5 indexed citations
7.
Evtushenko, Yu. G., et al.. (2019). Newton-Type Method for Solving Systems of Linear Equations and Inequalities. Computational Mathematics and Mathematical Physics. 59(12). 2017–2032. 1 indexed citations
8.
Kaporin, Igor, et al.. (2017). Incomplete inverse triangular factorization in parallel algorithms of preconditioned conjugate gradient methods. Keldysh Institute Preprints. 1–28. 13 indexed citations
9.
Kaporin, Igor. (2016). Deterministic bounds for restricted isometry in compressed sensing matrices. Doklady Mathematics. 93(3). 273–275.
10.
Kaporin, Igor. (2012). Using Chebyshev polynomials and approximate inverse triangular factorizations for preconditioning the conjugate gradient method. Computational Mathematics and Mathematical Physics. 52(2). 169–193. 8 indexed citations
11.
Kaporin, Igor, et al.. (2009). Post-filtering of IC2-factors for load balancing in parallel preconditioning. Computational Mathematics and Mathematical Physics. 49(6). 901–918. 1 indexed citations
12.
Kaporin, Igor. (2004). The aggregation and cancellation techniques as a practical tool for faster matrix multiplication. Theoretical Computer Science. 315(2-3). 469–510. 31 indexed citations
13.
Kaporin, Igor. (2002). Using the modified 2nd order incomplete Cholesky decomposition as the conjugate gradient preconditioning. Numerical Linear Algebra with Applications. 9(6-7). 401–408. 2 indexed citations
14.
Axelsson, Owe & Igor Kaporin. (2000). On the sublinear and superlinear rate of convergence of conjugate gradient methods. Numerical Algorithms. 25(1-4). 1–22. 28 indexed citations
15.
Kaporin, Igor. (1999). A practical algorithm for faster matrix multiplication. Numerical Linear Algebra with Applications. 6(8). 687–700. 20 indexed citations
16.
Axelsson, Owe & Igor Kaporin. (1998). Minimum Residual Adaptive Multilevel Finite Element Procedure for the Solution of Nonlinear Stationary Problems. SIAM Journal on Numerical Analysis. 35(3). 1213–1229. 12 indexed citations
17.
Kaporin, Igor. (1994). New convergence results and preconditioning strategies for the conjugate gradient method. Numerical Linear Algebra with Applications. 1(2). 179–210. 85 indexed citations
18.
Kaporin, Igor, L. Yu. Kolotilina, & A. Yu. Yeremin. (1991). Block SSOR preconditionings for high-order 3D FE systems. II. Incomplete BSSOR preconditionings. Linear Algebra and its Applications. 154-156. 647–674. 11 indexed citations
19.
Kaporin, Igor, et al.. (1985). The calculation of the riemann zeta-function in the complex domain. USSR Computational Mathematics and Mathematical Physics. 25(2). 111–119. 3 indexed citations
20.
Kaporin, Igor. (1980). A new fast Fourier transform algorithm. USSR Computational Mathematics and Mathematical Physics. 20(4). 253–259. 3 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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