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Igor Kaporin
Igor Kaporin
Dorodnicyn Computing Center of Russian Academy of Sciences
Verified email at ccas.ru
Title
Cited by
Cited by
Year
Серджио Писсанецки-Технология разреженных матриц
С Писсанецки
Мир, 1988
4501988
О предобуславливании и распараллеливании метода сопряженных градиентов
ИЕ Капорин
Ортега Дж. Введение в параллельные и векторные методы решения линейных …, 1991
390*1991
High quality preconditioning of a general symmetric positive definite matrix based on its UTU + UTR + RTU‐decomposition
IE Kaporin
Numerical linear algebra with applications 5 (6), 483-509, 1998
2351998
New convergence results and preconditioning strategies for the conjugate gradient method
IE Kaporin
Numerical linear algebra with applications 1 (2), 179-210, 1994
1591994
The aggregation and cancellation techniques as a practical tool for faster matrix multiplication
I Kaporin
Theoretical Computer Science 315 (2-3), 469-510, 2004
882004
A practical algorithm for faster matrix multiplication
I Kaporin
Numerical linear algebra with applications 6 (8), 687-700, 1999
791999
Error norm estimation and stopping criteria in preconditioned conjugate gradient iterations
O Axelsson, I Kaporin
Numerical Linear Algebra with Applications 8 (4), 265-286, 2001
682001
On a class of nonlinear equation solvers based on the residual norm reduction over a sequence of affine subspaces
IE Kaporin, O Axelsson
SIAM Journal on Scientific Computing 16 (1), 228-249, 1995
631995
On the sublinear and superlinear rate of convergence of conjugate gradient methods
O Axelsson, I Kaporin
Numerical Algorithms 25, 1-22, 2000
602000
Regularization of the barrier variational method
VA Garanzha, IE Kaporin
Computational mathematics and mathematical physics 39 (9), 1426-1440, 1999
56*1999
Parallel solution of symmetric positive definite systems based on decomposition into overlapping blocks
IE Kaporin, IN Kon'shin
Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki 41 (4), 515-528, 2001
48*2001
Foldover-free maps in 50 lines of code
V Garanzha, I Kaporin, L Kudryavtseva, F Protais, N Ray, D Sokolov
ACM Transactions on Graphics (TOG) 40 (4), 1-16, 2021
462021
Explicitly preconditioned conjugate gradient method for the solution of unsymmetric linear systems
IE Kaporin
International journal of computer mathematics 44 (1-4), 169-187, 1992
411992
A preconditioned conjugate-gradient method for solving discrete analogs of differential problems
IE Kaporin
Differential Equations 26 (7), 897-906, 1990
41*1990
Using Chebyshev polynomials and approximate inverse triangular factorizations for preconditioning the conjugate gradient method
IE Kaporin
Computational Mathematics and Mathematical Physics 52, 169-193, 2012
38*2012
A parallel block overlap preconditioning with inexact submatrix inversion for linear elasticity problems
IE Kaporin, IN Konshin
Numerical linear algebra with applications 9 (2), 141-162, 2002
342002
Массивно-параллельный алгоритм предобусловленного метода сопряженных градиентов для численного решения систем линейных алгебраических уравнений
ИЕ Капорин, ОЮ Милюкова
Сб. трудов отдела проблем прикладной оптимизации ВЦ РАН (под ред. ВГ Жадана …, 2011
302011
Fictitious-Variable Method for the Solution of Elliptic Finite-Difference Boundary-Value Problems in Irregular Regions
IE Kaporin, ES Nikolaev
DIFFERENTIAL EQUAT. 16 (7), 756-767, 1980
29*1980
Minimum residual adaptive multilevel finite element procedure for the solution of nonlinear stationary problems
O Axelsson, IE Kaporin
SIAM journal on numerical analysis 35 (3), 1213-1229, 1998
251998
Scaling, preconditioning, and superlinear convergence in GMRES-type iterations
I Kaporin
Matrix Methods: Theory, Algorithms and Applications: Dedicated to the Memory …, 2010
24*2010
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