Kaporin Igor Evgen'evich

Publications in Math-Net.Ru

1. Methods of circuit and topological synthesis of analog integrated circuits according to specification using machine learning and differentiable programming methods
   
   Proceedings of ISP RAS, 37:2 (2025),  33–48
2. Symmetric triangular decomposition for constructing approximations to solving the quadratic assignment problem
   
   Zh. Vychisl. Mat. Mat. Fiz., 65:7 (2025),  1110–1117
3. Semi-analytical solution of brent equations
   
   Dokl. RAN. Math. Inf. Proc. Upr., 518 (2024),  29–34
4. Finding complex-valued solutions of Brent equations using nonlinear least squares
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:9 (2024),  1578–1588
5. MPI+OpenMP implementation of BiCGStab method with factorized explicit preconditioner
   
   Keldysh Institute preprints, 2019, 047, 17 pp.
6. 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
7. Newton-type method for solving systems of linear equations and inequalities
   
   Zh. Vychisl. Mat. Mat. Fiz., 59:12 (2019),  2086–2101
8. MPI+OpenMP parallel implementation of explicitly preconditioned conjugate gradient method
   
   Keldysh Institute preprints, 2018, 008, 28 pp.
9. Incomplete inverse triangular factorization in parallel algorithms of preconditioned conjugate gradient methods
   
   Keldysh Institute preprints, 2017, 037, 28 pp.
10. Bounding the restricted isometry constants for a tight frame
    
    Mat. Sb., 208:11 (2017),  75–89
11. 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.
12. Using Chebyshev polynomials and approximate inverse triangular factorizations for preconditioning the conjugate gradient method
    
    Zh. Vychisl. Mat. Mat. Fiz., 52:2 (2012),  179–204
13. Post-filtering of IC2-factors for load balancing in parallel preconditioning
    
    Zh. Vychisl. Mat. Mat. Fiz., 49:6 (2009),  940–957
14. Localization of the eigenvalues of a pencil of positive definite matrices
    
    Zh. Vychisl. Mat. Mat. Fiz., 48:11 (2008),  1923–1931
15. 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
16. 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
17. Parallel solution of symmetric positive definite systems based on decomposition into overlapping blocks
    
    Zh. Vychisl. Mat. Mat. Fiz., 41:4 (2001),  515–528
18. Regularization of the barrier variational method of grid generation
    
    Zh. Vychisl. Mat. Mat. Fiz., 39:9 (1999),  1489–1503
19. The influence of isolated largest eigenvalues on the numerical convergence of the CG method
    
    Zap. Nauchn. Sem. POMI, 248 (1998),  5–16
20. Two-level explicit preconditionings for the conjugate gradient method
    
    Differ. Uravn., 28:2 (1992),  329–339
21. Preconditioning of the method of conjugate gradients for solving discrete analogues of differential problems
    
    Differ. Uravn., 26:7 (1990),  1225–1236
22. Computation of the derivatives of the Riemann zeta-function in the complex domain
    
    Zh. Vychisl. Mat. Mat. Fiz., 28:8 (1988),  1135–1148
23. 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
24. Calculation of the Riemann zeta function in a complex domain
    
    Zh. Vychisl. Mat. Mat. Fiz., 25:4 (1985),  500–511
25. Spectral optimization of explicit iterative methods. I
    
    Zap. Nauchn. Sem. LOMI, 139 (1984),  51–60
26. A fast algorithm for a class of unitary transforms
    
    Dokl. Akad. Nauk SSSR, 272:1 (1983),  23–26
27. Some modern methods of solution of difference equations
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 7,  3–12
28. 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
29. The fictitious unknowns-conjugate directions method for difference elliptic problem with variable coefficients
    
    Differ. Uravn., 18:7 (1982),  1202–1207
30. The development of the method of fictitious unknowns – conjugate directions
    
    Differ. Uravn., 17:7 (1981),  1270–1279
31. 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
32. The method of fictitious unknowns for the solution of difference elliptic boundary value problems in irregular domains
    
    Differ. Uravn., 16:7 (1980),  1211–1225
33. A new fast Fourier transform algorithm
    
    Zh. Vychisl. Mat. Mat. Fiz., 20:4 (1980),  1054–1058