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Publications in Math-Net.Ru |
Citations |
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2022 |
1. |
E. E. Tyrtyshnikov, “A well-posed setting of the problem of solving systems of linear algebraic equations”, Mat. Sb., 213:10 (2022), 130–138 ; Sb. Math., 213:10 (2022), 1436–1443 |
2
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2. |
N. L. Zamarashkin, S. V. Morozov, E. E. Tyrtyshnikov, “On the best approximation algorithm by low-rank matrices in Chebyshev's norm”, Zh. Vychisl. Mat. Mat. Fiz., 62:5 (2022), 723–741 ; Comput. Math. Math. Phys., 62:5 (2022), 701–718 |
3
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3. |
S. A. Matveev, A. P. Smirnov, I. V. Timokhin, E. E. Tyrtyshnikov, “Common structure of reduced bases for aggregation kinetics problems of varying dimensionality”, Zh. Vychisl. Mat. Mat. Fiz., 62:4 (2022), 553–563 ; Comput. Math. Math. Phys., 62:4 (2022), 538–547 |
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2021 |
4. |
I. V. Timokhin, S. A. Matveev, E. E. Tyrtyshnikov, A. P. Smirnov, “Method for reduced basis discovery in nonstationary problems”, Dokl. RAN. Math. Inf. Proc. Upr., 497 (2021), 31–34 ; Dokl. Math., 103:2 (2021), 92–94 |
2
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5. |
V. N. Razzhevaikin, E. E. Tyrtyshnikov, “On the Construction of Stability Indicators for Nonnegative Matrices”, Mat. Zametki, 109:3 (2021), 407–418 ; Math. Notes, 109:3 (2021), 435–444 |
2
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6. |
A. B. Samokhin, E. E. Tyrtyshnikov, “Numerical method for solving volume integral equations on a nonuniform grid”, Zh. Vychisl. Mat. Mat. Fiz., 61:5 (2021), 878–884 ; Comput. Math. Math. Phys., 61:5 (2021), 847–853 |
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7. |
N. L. Zamarashkin, I. V. Oseledets, E. E. Tyrtyshnikov, “New applications of matrix methods”, Zh. Vychisl. Mat. Mat. Fiz., 61:5 (2021), 691–695 ; Comput. Math. Math. Phys., 61:5 (2021), 669–673 |
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2020 |
8. |
V. N. Razzhevaikin, E. E. Tyrtyshnikov, “On stability indicators of nonnegative matrices”, Dokl. RAN. Math. Inf. Proc. Upr., 490 (2020), 51–54 ; Dokl. Math., 101:1 (2020), 43–45 |
2
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9. |
S. V. Morozov, S. Serra-Capizzano, E. E. Tyrtyshnikov, “Computation of asymptotic spectral distributions for sequences of grid operators”, Zh. Vychisl. Mat. Mat. Fiz., 60:11 (2020), 1823–1841 ; Comput. Math. Math. Phys., 60:11 (2020), 1761–1777 |
2
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2019 |
10. |
E. E. Tyrtyshnikov, E. M. Shcherbakova, “Methods for nonnegative matrix factorization based on low-rank cross approximations”, Zh. Vychisl. Mat. Mat. Fiz., 59:8 (2019), 1314–1330 ; Comput. Math. Math. Phys., 59:8 (2019), 1251–1266 |
3
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2018 |
11. |
D. A. Stefonishin, S. A. Matveev, A. P. Smirnov, E. E. Tyrtyshnikov, “Tensor decompositions for solving the equations of mathematical models of aggregation with multiple collisions of particles”, Num. Meth. Prog., 19:4 (2018), 390–404 |
12. |
D. A. Stefonishin, S. A. Matveev, A. P. Smirnov, E. E. Tyrtyshnikov, “An efficient finite-difference method for solving Smoluchowski-type kinetic equations of aggregation with three-body collisions”, Num. Meth. Prog., 19:3 (2018), 261–269 |
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2015 |
13. |
D. A. Zheltkov, E. E. Tyrtyshnikov, “A parallel implementation of the matrix cross approximation method”, Num. Meth. Prog., 16:3 (2015), 369–375 |
1
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14. |
I. V. Oferkin, D. A. Zheltkov, E. E. Tyrtyshnikov, A. V. Sulimov, D. K. Kutov, V. B. Sulimov, “Evaluation of the docking algorithm based on tensor train global optimization”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 8:4 (2015), 83–99 |
10
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15. |
E. E. Tyrtyshnikov, V. N. Chugunov, “On algebras of Hankel circulants and Hankel skew-circulants”, Zap. Nauchn. Sem. POMI, 439 (2015), 159–168 ; J. Math. Sci. (N. Y.), 216:6 (2016), 825–831 |
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2014 |
16. |
A. Yu. Mikhalev, I. V. Oferkin, I. V. Oseledets, A. V. Sulimov, E. E. Tyrtyshnikov, V. B. Sulimov, “Application of the multicharge approximation for large dense matrices in the framework of the polarized continuum solvent model”, Num. Meth. Prog., 15:1 (2014), 9–21 |
17. |
S. A. Matveev, E. E. Tyrtyshnikov, A. P. Smirnov, N. V. Brilliantov, “A fast numerical method for solving the Smoluchowski-type kinetic equations of aggregation and fragmentation processes”, Num. Meth. Prog., 15:1 (2014), 1–8 |
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2013 |
18. |
D. A. Zheltkov, E. E. Tyrtyshnikov, “Virtual dimensions in the docking method based on tensor train decompositions”, Num. Meth. Prog., 14:3 (2013), 292–294 |
1
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19. |
D. A. Zheltkov, I. V. Oferkin, E. V. Katkova, A. V. Sulimov, V. B. Sulimov, E. E. Tyrtyshnikov, “TTDock: a docking method based on tensor train decompositions”, Num. Meth. Prog., 14:3 (2013), 279–291 |
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2011 |
20. |
N. L. Zamarashkin, E. E. Tyrtyshnikov, V. N. Chugunov, “Functions Generating Normal Toeplitz Matrices”, Mat. Zametki, 89:4 (2011), 503–507 ; Math. Notes, 89:4 (2011), 480–483 |
1
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2010 |
21. |
V. A. Kazeev, E. E. Tyrtyshnikov, “The structure of the Hessian and the efficient implementation of Newton's method in the problem of the canonical approximation of tensors”, Zh. Vychisl. Mat. Mat. Fiz., 50:6 (2010), 979–998 ; Comput. Math. Math. Phys., 50:6 (2010), 927–945 |
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2009 |
22. |
D. V. Savostyanov, E. E. Tyrtyshnikov, “Approximate multiplication of tensor matrices based on the individual filtering of factors”, Zh. Vychisl. Mat. Mat. Fiz., 49:10 (2009), 1741–1756 ; Comput. Math. Math. Phys., 49:10 (2009), 1662–1677 |
5
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23. |
I. V. Oseledets, S. L. Stavtsev, E. E. Tyrtyshnikov, “Integration of oscillating functions in a quasi-three-dimensional electrodynamic problem”, Zh. Vychisl. Mat. Mat. Fiz., 49:2 (2009), 301–312 ; Comput. Math. Math. Phys., 49:2 (2009), 292–303 |
1
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2006 |
24. |
D. V. Savostyanov, E. E. Tyrtyshnikov, “Application of multilevel structured matrices for the solution of direct and inverse electromagnetic problems”, Num. Meth. Prog., 7:1 (2006), 1–16 |
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2005 |
25. |
I. V. Oseledets, E. E. Tyrtyshnikov, “Approximate inversion of matrices in the process of solving a hypersingular integral equation”, Zh. Vychisl. Mat. Mat. Fiz., 45:2 (2005), 315–326 ; Comput. Math. Math. Phys., 45:2 (2005), 302–313 |
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2004 |
26. |
E. E. Tyrtyshnikov, “Modifying the methods for the evaluations of the Chebyshev–Laguerre and the Gauss–Legendre integrals”, Zh. Vychisl. Mat. Mat. Fiz., 44:7 (2004), 1187–1195 ; Comput. Math. Math. Phys., 44:7 (2004), 1124–1131 |
1
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27. |
D. V. Savostyanov, E. E. Tyrtyshnikov, “On a case of equivalence between the collocation method and the Galerkin method”, Zh. Vychisl. Mat. Mat. Fiz., 44:4 (2004), 686–693 ; Comput. Math. Math. Phys., 44:4 (2004), 649–656 |
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2003 |
28. |
E. E. Tyrtyshnikov, “Tensor approximations of matrices generated by asymptotically smooth functions”, Mat. Sb., 194:6 (2003), 147–160 ; Sb. Math., 194:6 (2003), 941–954 |
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2002 |
29. |
E. E. Tyrtyshnikov, V. N. Chugunov, “Augmentation and Modification Problems for Hermitian Matrices”, Mat. Zametki, 71:1 (2002), 130–134 ; Math. Notes, 71:1 (2002), 118–122 |
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2001 |
30. |
E. E. Tyrtyshnikov, “Some applications of a matrix criterion for equidistribution”, Mat. Sb., 192:12 (2001), 145–156 ; Sb. Math., 192:12 (2001), 1877–1887 |
2
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31. |
N. L. Zamarashkin, E. E. Tyrtyshnikov, “Eigenvalue estimates for Hankel matrices”, Mat. Sb., 192:4 (2001), 59–72 ; Sb. Math., 192:4 (2001), 537–550 |
5
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1997 |
32. |
S. A. Goreinov, N. L. Zamarashkin, E. E. Tyrtyshnikov, “Pseudo-skeleton approximations by matrices of maximal volume”, Mat. Zametki, 62:4 (1997), 619–623 ; Math. Notes, 62:4 (1997), 515–519 |
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33. |
N. L. Zamarashkin, E. E. Tyrtyshnikov, “On the distribution of eigenvectors of Töplitz matrices with weakened requirements on the generating function”, Uspekhi Mat. Nauk, 52:6(318) (1997), 161–162 ; Russian Math. Surveys, 52:6 (1997), 1333–1334 |
9
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34. |
N. L. Zamarashkin, E. E. Tyrtyshnikov, “Distribution of eigenvalues and singular values of Toeplitz matrices under weakened conditions on the generating function”, Mat. Sb., 188:8 (1997), 83–92 ; Sb. Math., 188:8 (1997), 1191–1201 |
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1996 |
35. |
E. E. Tyrtyshnikov, “Parallel methods for generalized Toeplitz systems”, Zh. Vychisl. Mat. Mat. Fiz., 36:6 (1996), 5–19 ; Comput. Math. Math. Phys., 36:6 (1996), 691–702 |
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1995 |
36. |
S. A. Goreinov, N. L. Zamarashkin, E. E. Tyrtyshnikov, “Pseudo-skeleton approximations of matrices”, Dokl. Akad. Nauk, 343:2 (1995), 151–152 |
4
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37. |
E. E. Tyrtyshnikov, “On the convergence of the $QR$ algorithm with multishifts”, Zap. Nauchn. Sem. POMI, 229 (1995), 275–283 ; J. Math. Sci. (New York), 89:6 (1998), 1768–1774 |
1
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1993 |
38. |
E. E. Tyrtyshnikov, “New theorems on the distribution of eigenvalues and singular
values of multilevel Toeplitz matrices”, Dokl. Akad. Nauk, 333:3 (1993), 300–303 ; Dokl. Math., 48:3 (1994), 524–528 |
2
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1990 |
39. |
V. V. Voevodin, A. Yu. Kuznetsov, E. E. Tyrtyshnikov, “A tribute to goodness, intelligence and talent”, Algebra i Analiz, 2:6 (1990), 10–33 ; Leningrad Math. J., 2:6 (1991), 1165–1186 |
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1989 |
40. |
E. E. Tyrtyshnikov, “New fast algorithms for systems with Hankel and Toeplitz matrices”, Zh. Vychisl. Mat. Mat. Fiz., 29:5 (1989), 645–652 ; U.S.S.R. Comput. Math. Math. Phys., 29:3 (1989), 1–6 |
1
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1981 |
41. |
V. V. Voevodin, E. E. Tyrtyshnikov, “Numerical methods for solving problems with Toeplitz matrices”, Zh. Vychisl. Mat. Mat. Fiz., 21:3 (1981), 531–544 ; U.S.S.R. Comput. Math. Math. Phys., 21:3 (1981), 1–14 |
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2024 |
42. |
A. I. Aptekarev, S. I. Bezrodnykh, M. A. Guzev, S. I. Kabanikhin, B. S. Kashin, S. V. Kislyakov, V. V. Kozlov, N. Yu. Lukoyanov, M. B. Markov, D. O. Orlov, Yu. S. Osipov, I. B. Petrov, V. P. Platonov, I. A. Taimanov, V. F. Tishkin, D. V. Treschev, E. E. Tyrtyshnikov, M. V. Iakobovski, “Boris Nikolaevich Chetverushkin (on his eightieth birthday)”, Uspekhi Mat. Nauk, 79:4(478) (2024), 181–187 |
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2018 |
43. |
B. N. Chetverushkin, E. E. Tyrtyshnikov, N. N. Kudryavtsev, V. P. Dymnikov, Yu. I. Zhuravlev, E. E. Son, K. V. Rudakov, Yu. G. Evtushenko, A. B. Zhizhchenko, Yu. V. Gulyaev, A. S. Bugaev, A. N. Konovalov, V. P. Maslov, V. M. Berdyshev, A. L. Semenov, E. I. Moiseev, I. B. Petrov, Yu. A. Flerov, I. G. Pospelov, S. I. Kabanikhin, M. V. Iakobovski, V. F. Tishkin, Yu. V. Vassilevski, A. A. Shananin, V. A. Gushchin, I. S. Nikitin, A. I. Lobanov, V. V. Demchenko, E. L. Stupitsky, V. L. Yakushev, A. V. Babakov, Yu. D. Shevelev, S. A. Ishanov, V. S. Ryaben'kii, “In memory of Aleksandr Sergeevich Kholodov”, Matem. Mod., 30:1 (2018), 135–136 |
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2014 |
44. |
V. B. Demidovich, V. P. Dymnikov, G. M. Kobel'kov, V. V. Kozlov, A. G. Kulikovskii, V. A. Sadovnichii, V. M. Tikhomirov, E. E. Tyrtyshnikov, V. N. Chubarikov, M. È. Èglit, “Nikolai Sergeevich Bakhvalov (on his 80th birthday)”, Uspekhi Mat. Nauk, 69:3(417) (2014), 183–185 ; Russian Math. Surveys, 69:3 (2014), 579–582 |
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