E. E. Tyrtyshnikov

2.0k total citations
43 papers, 1.3k citations indexed

About

E. E. Tyrtyshnikov is a scholar working on Computational Theory and Mathematics, Atomic and Molecular Physics, and Optics and Electrical and Electronic Engineering. According to data from OpenAlex, E. E. Tyrtyshnikov has authored 43 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 37 papers in Computational Theory and Mathematics, 16 papers in Atomic and Molecular Physics, and Optics and 11 papers in Electrical and Electronic Engineering. Recurrent topics in E. E. Tyrtyshnikov's work include Matrix Theory and Algorithms (34 papers), Electromagnetic Scattering and Analysis (16 papers) and Tensor decomposition and applications (10 papers). E. E. Tyrtyshnikov is often cited by papers focused on Matrix Theory and Algorithms (34 papers), Electromagnetic Scattering and Analysis (16 papers) and Tensor decomposition and applications (10 papers). E. E. Tyrtyshnikov collaborates with scholars based in Russia, Italy and Germany. E. E. Tyrtyshnikov's co-authors include Ivan Oseledets, Н. Л. Замарашкин, S. A. Goreinov, Boris N. Khoromskij, Wolfgang Hackbusch, Dmitry Savostyanov, A. Yu. Yeremin, Bernhard Beckermann, С. А. Матвеев and A. P. Smirnov and has published in prestigious journals such as Journal of Computational Physics, Mathematics of Computation and SIAM Journal on Scientific Computing.

In The Last Decade

E. E. Tyrtyshnikov

41 papers receiving 1.1k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
E. E. Tyrtyshnikov Russia	18	706	596	365	355	158	43	1.3k
Е. Е. Тыртышников Russia	16	460 0.7×	380 0.6×	298 0.8×	325 0.9×	80 0.5×	69	1.1k
K. Jbilou France	19	783 1.1×	147 0.2×	287 0.8×	296 0.8×	133 0.8×	68	1.2k
Thomas Huckle Germany	15	857 1.2×	114 0.2×	628 1.7×	448 1.3×	93 0.6×	62	1.2k
Н. Л. Замарашкин Russia	9	289 0.4×	172 0.3×	176 0.5×	214 0.6×	105 0.7×	33	655
Raf Vandebril Belgium	17	700 1.0×	219 0.4×	225 0.6×	188 0.5×	188 1.2×	120	1.1k
Ren‐Cang Li United States	22	1.2k 1.8×	114 0.2×	360 1.0×	278 0.8×	227 1.4×	134	1.9k
Othmar Koch Austria	22	242 0.3×	130 0.2×	370 1.0×	419 1.2×	153 1.0×	78	1.4k
H. Sadok France	21	929 1.3×	72 0.1×	412 1.1×	323 0.9×	185 1.2×	67	1.3k
I. P. Gavrilyuk Ukraine	18	389 0.6×	138 0.2×	135 0.4×	380 1.1×	352 2.2×	79	1.4k
Martin J. Mohlenkamp United States	10	254 0.4×	342 0.6×	185 0.5×	178 0.5×	52 0.3×	19	783

Countries citing papers authored by E. E. Tyrtyshnikov

Since Specialization

Citations

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

Fields of papers citing papers by E. E. Tyrtyshnikov

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of E. E. Tyrtyshnikov

This figure shows the co-authorship network connecting the top 25 collaborators of E. E. Tyrtyshnikov. A scholar is included among the top collaborators of E. E. Tyrtyshnikov 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 E. E. Tyrtyshnikov. E. E. Tyrtyshnikov is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Tudisco, Francesco, et al.. (2012). Optimal rank matrix algebras preconditioners. Linear Algebra and its Applications. 438(1). 405–427. 2 indexed citations

Oseledets, Ivan & E. E. Tyrtyshnikov. (2009). Breaking the Curse of Dimensionality, Or How to Use SVD in Many Dimensions. SIAM Journal on Scientific Computing. 31(5). 3744–3759. 298 indexed citations

Замарашкин, Н. Л., Ivan Oseledets, & E. E. Tyrtyshnikov. (2009). The tensor structure of the inverse of a banded Toeplitz matrix. Doklady Mathematics. 80(2). 669–670. 5 indexed citations

Oseledets, Ivan & E. E. Tyrtyshnikov. (2009). Recursive decomposition of multidimensional tensors. Doklady Mathematics. 80(1). 460–462. 17 indexed citations

Oseledets, Ivan, Dmitry Savostyanov, & E. E. Tyrtyshnikov. (2009). Fast Simultaneous Orthogonal Reduction to Triangular Matrices. SIAM Journal on Matrix Analysis and Applications. 31(2). 316–330. 7 indexed citations

Замарашкин, Н. Л., Ivan Oseledets, & E. E. Tyrtyshnikov. (2006). Approximation of Toeplitz matrices by sums of circulants and small-rank matrices. Doklady Mathematics. 73(1). 100–101. 5 indexed citations

Oseledets, Ivan & E. E. Tyrtyshnikov. (2005). Approximate inversion of matrices in the process of solving a hypersingular integral equation. Computational Mathematics and Mathematical Physics. 45(2). 302–313. 24 indexed citations

Bini, Dario A., et al.. (2001). Structured matrices: recent developments in theory and computation. Nova Science Publishers, Inc. eBooks. 206–206. 17 indexed citations

Замарашкин, Н. Л. & E. E. Tyrtyshnikov. (2001). Eigenvalue estimates for Hankel matrices. Sbornik Mathematics. 192(4). 537–550. 3 indexed citations

10.

Tyrtyshnikov, E. E., et al.. (2000). Any Circulant-Like Preconditioner for Multilevel Matrices Is Not Superlinear. SIAM Journal on Matrix Analysis and Applications. 21(2). 431–439. 82 indexed citations

11.

Tyrtyshnikov, E. E.. (2000). Incomplete Cross Approximation in the Mosaic-Skeleton Method. Computing. 64(4). 367–380. 152 indexed citations

12.

Tyrtyshnikov, E. E. & Н. Л. Замарашкин. (1999). Thin structure of eigenvalue clusters for non-Hermitian Toeplitz matrices. Linear Algebra and its Applications. 292(1-3). 297–310. 7 indexed citations

13.

Tyrtyshnikov, E. E. & Н. Л. Замарашкин. (1998). Spectra of multilevel toeplitz matrices: Advanced theory via simple matrix relationships. Linear Algebra and its Applications. 270(1-3). 15–27. 87 indexed citations

14.

Tyrtyshnikov, E. E.. (1998). On the convergence of theQR algorithm with multishifts. Journal of Mathematical Sciences. 89(6). 1768–1774.

15.

Tyrtyshnikov, E. E., A. Yu. Yeremin, & Н. Л. Замарашкин. (1997). Clusters, preconditioners, convergence. Linear Algebra and its Applications. 263. 25–48. 15 indexed citations

16.

Goreinov, S. A., E. E. Tyrtyshnikov, & A. Yu. Yeremin. (1997). Matrix-free iterative solution strategies for large dense linear systems. Numerical Linear Algebra with Applications. 4(4). 273–294. 39 indexed citations

17.

Tyrtyshnikov, E. E. & Н. Л. Замарашкин. (1996). On eigen and singular value clusters. CALCOLO. 33(1-2). 71–78. 2 indexed citations

18.

Tyrtyshnikov, E. E.. (1995). Circulant preconditioners with unbounded inverses. Linear Algebra and its Applications. 216. 1–23. 53 indexed citations

19.

Tyrtyshnikov, E. E., et al.. (1992). A fast matrix-vector multiplier in discrete vortex method. Russian Journal of Numerical Analysis and Mathematical Modelling. 7(4). 9 indexed citations

20.

Tyrtyshnikov, E. E.. (1988). Constructive approach to develop vectorized and fast algorithms for special-type matrices. Russian Journal of Numerical Analysis and Mathematical Modelling. 3(5). 2 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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