Krylov subspace approximation of eigenpairs and matrix functions in exact and computer arithmetic. - Vladimir Druskin; Leonid Knizhnerman (Numer. Linear Algebra Appl., 1995)

Using Nonorthogonal Lanczos Vectors in the Computation of Matrix Functions. - Vladimir Druskin; Anne Greenbaum; Leonid Knizhnerman (SIAM J. Sci. Comput., 1998)

Extended Krylov Subspaces: Approximation of the Matrix Square Root and Related Functions. - Vladimir Druskin; Leonid Knizhnerman (SIAM J. Matrix Anal. Appl., 1998)

Gaussian Spectral Rules for the Three-Point Second Differences: I. A Two-Point Positive Definite Problem in a Semi-Infinite Domain. - Vladimir Druskin; Leonid Knizhnerman (SIAM J. Numer. Anal., 1999)

Gaussian spectral rules for second order finite-difference schemes. - Vladimir Druskin; Leonid Knizhnerman (Numer. Algorithms, 2000)

On GMRES-Equivalent Bounded Operators. - Leonid Knizhnerman (SIAM J. Matrix Anal. Appl., 2000)

On Optimal Finite-Difference Approximation of PML. - Sergey Asvadurov; Vladimir Druskin; Murthy N. Guddati; Leonid Knizhnerman (SIAM J. Numer. Anal., 2003)

Stability Estimates on the Jacobi and Unitary Hessenberg Inverse Eigenvalue Problems. - Leonid Knizhnerman (SIAM J. Matrix Anal. Appl., 2004)

An enhanced Gauss-Newton inversion algorithm using a dual-optimal grid approach. - Aria Abubakar; Tarek M. Habashy; Vladimir Druskin; Leonid Knizhnerman (IEEE Trans. Geosci. Remote. Sens., 2006)

On Optimal Convergence Rate of the Rational Krylov Subspace Reduction for Electromagnetic Problems in Unbounded Domains. - Leonid Knizhnerman; Vladimir Druskin; Mikhail Zaslavsky (SIAM J. Numer. Anal., 2009)

Solution of Large Scale Evolutionary Problems Using Rational Krylov Subspaces with Optimized Shifts. - Vladimir Druskin; Leonid Knizhnerman; Mikhail Zaslavsky (SIAM J. Sci. Comput., 2009)

Sensitivity of the Lanczos recurrence to Gaussian quadrature data: How malignant can small weights be? - Leonid Knizhnerman (J. Comput. Appl. Math., 2010)

A new investigation of the extended Krylov subspace method for matrix function evaluations. - Leonid Knizhnerman; Valeria Simoncini (Numer. Linear Algebra Appl., 2010)

Convergence analysis of the extended Krylov subspace method for the Lyapunov equation. - Leonid Knizhnerman; Valeria Simoncini (Numerische Mathematik, 2011)

Analysis of the Rational Krylov Subspace and ADI Methods for Solving the Lyapunov Equation. - Vladimir Druskin; Leonid Knizhnerman; Valeria Simoncini (SIAM J. Numer. Anal., 2011)

Near-Optimal Perfectly Matched Layers for Indefinite Helmholtz Problems. - Vladimir Druskin; Stefan Güttel; Leonid Knizhnerman (SIAM Rev., 2016)

A residual concept for Krylov subspace evaluation of the 𝓁 matrix function. - Mike A. Botchev; Leonid A. Knizhnerman; Eugene E. Tyrtyshnikov (CoRR, 2020)

ART: Adaptive residual-time restarting for Krylov subspace matrix exponential evaluations. - Mikhail A. Botchev; Leonid A. Knizhnerman (J. Comput. Appl. Math., 2020)

Residual and Restarting in Krylov Subspace Evaluation of the φ Function. - Mike A. Botchev; Leonid Knizhnerman; Eugene E. Tyrtyshnikov (SIAM J. Sci. Comput., 2021)

Model order reduction of layered waveguides via rational Krylov fitting. - Vladimir Druskin; Stefan Güttel; Leonid Knizhnerman (CoRR, 2022)

Krylov Subspace Residual and Restarting for Certain Second Order Differential Equations. - Mike A. Botchev; Leonid Knizhnerman; Marcel Schweitzer (SIAM J. Sci. Comput., 2024)