New convergence results and preconditioning strategies for the conjugate gradient method. - Igor E. Kaporin (Numer. Linear Algebra Appl., 1994)

On a Class of Nonlinear Equation Solvers Based on the Residual Norm Reduction over a Sequence of Affine Subspaces. - Igor E. Kaporin; Owe Axelsson (SIAM J. Sci. Comput., 1995)

High quality preconditioning of a general symmetric positive definite matrix based on its UTU + UTR + RTU-decomposition. - Igor E. Kaporin (Numer. Linear Algebra Appl., 1998)

Parallel Solution of Large Sparse SPD Linear Systems Based on Overlapping Domain Decomposition. - Igor E. Kaporin; Igor N. Konshin (PaCT, 1999)

A practical algorithm for faster matrix multiplication. - Igor E. Kaporin (Numer. Linear Algebra Appl., 1999)

On the sublinear and superlinear rate of convergence of conjugate gradient methods. - Owe Axelsson; Igor E. Kaporin (Numer. Algorithms, 2000)

Optimizing Two-Level Preconditionings for the Conjugate Gradient Method. - Owe Axelsson; Igor E. Kaporin (LSSC, 2001)

Error norm estimation and stopping criteria in preconditioned conjugate gradient iterations. - Owe Axelsson; Igor E. Kaporin (Numer. Linear Algebra Appl., 2001)

Using the modified 2nd order incomplete Cholesky decomposition as the conjugate gradient preconditioning. - Igor E. Kaporin (Numer. Linear Algebra Appl., 2002)

A parallel block overlap preconditioning with inexact submatrix inversion for linear elasticity problems. - Igor E. Kaporin; Igor N. Konshin (Numer. Linear Algebra Appl., 2002)

Truncated Newton type solver with application to grid untangling problem. - Vladimir A. Garanzha; Igor E. Kaporin; Igor N. Konshin (Numer. Linear Algebra Appl., 2004)

The aggregation and cancellation techniques as a practical tool for faster matrix multiplication. - Igor E. Kaporin (Theor. Comput. Sci., 2004)

Superlinear convergence in minimum residual iterations. - Igor E. Kaporin (Numer. Linear Algebra Appl., 2005)

Load Balancing of Parallel Block Overlapped Incomplete Cholesky Preconditioning. - Igor E. Kaporin; Igor N. Konshin (PaCT, 2009)

Nonlinear Least Squares Solver for Evaluating Canonical Tensor Decomposition. - Igor E. Kaporin (OPTIMA, 2020)

Preconditioned Subspace Descent Method for Nonlinear Systems of Equations. - Igor E. Kaporin (Open Comput. Sci., 2020)

Inexact Newton method for the solution of eigenproblems arising in hydrodynamic temporal stability analysis. - Kirill V. Demyanko; Igor E. Kaporin; Yuri M. Nechepurenko (J. Num. Math., 2020)

Foldover-free maps in 50 lines of code. - Vladimir A. Garanzha; Igor E. Kaporin; Liudmila N. Kudryavtseva; François Protais; Nicolas Ray; Dmitry Sokolov 002 (ACM Trans. Graph., 2021)

A Derivative-Free Nonlinear Least Squares Solver. - Igor E. Kaporin (OPTIMA (2), 2022)

Practical lowest distortion mapping. - Vladimir A. Garanzha; Igor E. Kaporin; Liudmila N. Kudryavtseva; François Protais; David Desobry; Dmitry Sokolov 002 (CoRR, 2022)

A Derivative-Free Nonlinear Least Squares Solver for Nonsmooth Functions. - Igor E. Kaporin (OPTIMA, 2023)

In the Quest for Scale-optimal Mappings. - Vladimir A. Garanzha; Igor E. Kaporin; Liudmila N. Kudryavtseva; François Protais; Dmitry Sokolov 002 (ACM Trans. Graph., 2024)