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Kaporin, Igor Evgen'evich
Statistics Math-Net.Ru
Total publications: 29
Scientific articles: 29
Presentations: 1

Number of views:
This page:2082
Abstract pages:8322
Full texts:4534
References:485
Doctor of physico-mathematical sciences (2011)
Speciality: 01.01.07 (Computing mathematics)
E-mail: ,

https://www.mathnet.ru/eng/person34916
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/191732
https://elibrary.ru/author_items.asp?authorid=17700
https://www.researchgate.net/profile/I-Kaporin

Publications in Math-Net.Ru Citations
2019
1. I. E. Kaporin, O. Yu. Milyukova, “MPI+OpenMP implementation of BiCGStab method with factorized explicit preconditioner”, Keldysh Institute preprints, 2019, 047, 17 pp.  mathnet  elib
2. I. E. Kaporin, O. Yu. Milyukova, “MPI+OpenMP implementation of the BiCGStab method with explicit preconditioning for the numerical solution of sparse linear systems”, Num. Meth. Prog., 20:4 (2019),  516–527  mathnet 3
3. A. I. Golikov, Yu. G. Evtushenko, I. E. Kaporin, “Newton-type method for solving systems of linear equations and inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 59:12 (2019),  2086–2101  mathnet  elib; Comput. Math. Math. Phys., 59:12 (2019), 2017–2032  isi  scopus 1
2018
4. I. E. Kaporin, O. Yu. Milyukova, “MPI+OpenMP parallel implementation of explicitly preconditioned conjugate gradient method”, Keldysh Institute preprints, 2018, 008, 28 pp.  mathnet  elib 9
2017
5. I. E. Kaporin, O. Yu. Milyukova, “Incomplete inverse triangular factorization in parallel algorithms of preconditioned conjugate gradient methods”, Keldysh Institute preprints, 2017, 037, 28 pp.  mathnet 12
6. I. E. Kaporin, “Bounding the restricted isometry constants for a tight frame”, Mat. Sb., 208:11 (2017),  75–89  mathnet  mathscinet  elib; Sb. Math., 208:11 (2017), 1646–1660  isi  scopus
2013
7. I. E. Kaporin, O. Yu. Milyukova, “Optimization of the factorized preconditioners of conjugate gradient method for solving the linear algebraic systems with symmetric positive definite matrix”, Keldysh Institute preprints, 2013, 013, 17 pp.  mathnet 3
2012
8. I. E. Kaporin, “Using Chebyshev polynomials and approximate inverse triangular factorizations for preconditioning the conjugate gradient method”, Zh. Vychisl. Mat. Mat. Fiz., 52:2 (2012),  179–204  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 52:2 (2012), 169–193  isi  elib  scopus 23
2009
9. I. E. Kaporin, I. N. Kon'shin, “Post-filtering of IC2-factors for load balancing in parallel preconditioning”, Zh. Vychisl. Mat. Mat. Fiz., 49:6 (2009),  940–957  mathnet  zmath; Comput. Math. Math. Phys., 49:6 (2009), 901–918  isi  scopus 1
2008
10. I. E. Kaporin, “Localization of the eigenvalues of a pencil of positive definite matrices”, Zh. Vychisl. Mat. Mat. Fiz., 48:11 (2008),  1923–1931  mathnet  mathscinet; Comput. Math. Math. Phys., 48:11 (2008), 1917–1926  isi  scopus 2
2005
11. V. A. Garanzha, I. E. Kaporin, “On the convergence of a gradient method for the minimization of functionals in finite deformation elasticity theory and for the minimization of barrier grid functionals”, Zh. Vychisl. Mat. Mat. Fiz., 45:8 (2005),  1450–1465  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 45:8 (2005), 1400–1415 2
2003
12. I. E. Kaporin, “Applications of the internal iterations of the conjugate gradients method to solution large scale sparse non-linear optimization problems”, Zh. Vychisl. Mat. Mat. Fiz., 43:6 (2003),  802–807  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 43:6 (2003), 766–771 2
2001
13. I. E. Kaporin, I. N. Kon'shin, “Parallel solution of symmetric positive definite systems based on decomposition into overlapping blocks”, Zh. Vychisl. Mat. Mat. Fiz., 41:4 (2001),  515–528  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:4 (2001), 481–493 16
1999
14. V. A. Garanzha, I. E. Kaporin, “Regularization of the barrier variational method of grid generation”, Zh. Vychisl. Mat. Mat. Fiz., 39:9 (1999),  1489–1503  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 39:9 (1999), 1426–1440 31
1998
15. A. Yu. Yeremin, I. E. Kaporin, “The influence of isolated largest eigenvalues on the numerical convergence of the CG method”, Zap. Nauchn. Sem. POMI, 248 (1998),  5–16  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 101:4 (2000), 3231–3236 1
1992
16. I. E. Kaporin, “Two-level explicit preconditionings for the conjugate gradient method”, Differ. Uravn., 28:2 (1992),  329–339  mathnet  mathscinet  zmath; Differ. Equ., 28:2 (1992), 280–289
1990
17. I. E. Kaporin, “Preconditioning of the method of conjugate gradients for solving discrete analogues of differential problems”, Differ. Uravn., 26:7 (1990),  1225–1236  mathnet  mathscinet; Differ. Equ., 26:7 (1990), 897–906 10
1988
18. A. Yu. Yeremin, I. E. Kaporin, M. K. Kerimov, “Computation of the derivatives of the Riemann zeta-function in the complex domain”, Zh. Vychisl. Mat. Mat. Fiz., 28:8 (1988),  1135–1148  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 28:4 (1988), 115–124 4
1986
19. A. I. Gasanov, I. E. Kaporin, “Application of the elimination method in the solution of strongly elliptic systems by the finite element method”, Zh. Vychisl. Mat. Mat. Fiz., 26:6 (1986),  837–850  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 26:3 (1986), 120–130 4
1985
20. A. Yu. Yeremin, I. E. Kaporin, M. K. Kerimov, “Calculation of the Riemann zeta function in a complex domain”, Zh. Vychisl. Mat. Mat. Fiz., 25:4 (1985),  500–511  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 25:2 (1985), 111–119 4
1984
21. A. Yu. Yeremin, I. E. Kaporin, “Spectral optimization of explicit iterative methods. I”, Zap. Nauchn. Sem. LOMI, 139 (1984),  51–60  mathnet  mathscinet  zmath; J. Soviet Math., 36:2 (1987), 207–214 1
1983
22. I. E. Kaporin, “A fast algorithm for a class of unitary transforms”, Dokl. Akad. Nauk SSSR, 272:1 (1983),  23–26  mathnet  mathscinet  zmath
23. A. A. Samarskii, I. E. Kaporin, A. B. Kycherov, E. S. Nikolaev, “Some modern methods of solution of difference equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 7,  3–12  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 27:7 (1983), 1–13 1
1982
24. I. E. Kaporin, E. S. Nikolaev, “The method of complete reduction for a system of three-point vector equations of special form”, Dokl. Akad. Nauk SSSR, 264:5 (1982),  1056–1059  mathnet  mathscinet  zmath
25. I. E. Kaporin, E. S. Nikolaev, “The fictitious unknowns-conjugate directions method for difference elliptic problem with variable coefficients”, Differ. Uravn., 18:7 (1982),  1202–1207  mathnet  mathscinet 1
1981
26. I. E. Kaporin, E. S. Nikolaev, “The development of the method of fictitious unknowns – conjugate directions”, Differ. Uravn., 17:7 (1981),  1270–1279  mathnet  mathscinet
1980
27. I. E. Kaporin, E. S. Nikolaev, “A method of fictitious unknowns for solving difference equations of elliptic type in domains of complicated form”, Dokl. Akad. Nauk SSSR, 251:3 (1980),  544–548  mathnet  mathscinet  zmath 1
28. I. E. Kaporin, E. S. Nikolaev, “The method of fictitious unknowns for the solution of difference elliptic boundary value problems in irregular domains”, Differ. Uravn., 16:7 (1980),  1211–1225  mathnet  mathscinet  zmath 6
29. I. E. Kaporin, “A new fast Fourier transform algorithm”, Zh. Vychisl. Mat. Mat. Fiz., 20:4 (1980),  1054–1058  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 20:4 (1980), 253–259 1

Presentations in Math-Net.Ru
1. Решение сверхбольших спектральных задач с разреженными матрицами на современных суперкомпьютерах
I. E. Kaporin, O. Yu. Milyukova, Yu. G. Bartenev
Mathematical Seminar
November 30, 2013 11:30   

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