Leonid Knizhnerman

According to our database, Leonid Knizhnerman authored at least 21 papers between 1995 and 2022.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2022

Krylov subspace residual and restarting for certain second order differential equations.

Mike A. Botchev, Leonid A. Knizhnerman, M. Schweitzer

CoRR, 2022

Model order reduction of layered waveguides via rational Krylov fitting.

Vladimir Druskin, Stefan Güttel, Leonid Knizhnerman

CoRR, 2022

2021

Residual and Restarting in Krylov Subspace Evaluation of the φ Function.

Mike A. Botchev, Leonid Knizhnerman, Eugene E. Tyrtyshnikov

SIAM J. Sci. Comput., 2021

2020

ART: Adaptive residual-time restarting for Krylov subspace matrix exponential evaluations.

Mikhail A. Botchev, Leonid A. Knizhnerman

J. Comput. Appl. Math., 2020

A residual concept for Krylov subspace evaluation of the 𝓁 matrix function.

Mike A. Botchev, Leonid A. Knizhnerman, Eugene E. Tyrtyshnikov

CoRR, 2020

2016

Near-Optimal Perfectly Matched Layers for Indefinite Helmholtz Problems.

Vladimir Druskin, Stefan Güttel, Leonid Knizhnerman

SIAM Rev., 2016

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

Convergence analysis of the extended Krylov subspace method for the Lyapunov equation.

Leonid Knizhnerman, Valeria Simoncini

Numerische Mathematik, 2011

2010

A new investigation of the extended Krylov subspace method for matrix function evaluations.

Leonid Knizhnerman, Valeria Simoncini

Numer. Linear Algebra Appl., 2010

Sensitivity of the Lanczos recurrence to Gaussian quadrature data: How malignant can small weights be?

Leonid Knizhnerman

J. Comput. Appl. Math., 2010

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

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

2006

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

2004

Stability Estimates on the Jacobi and Unitary Hessenberg Inverse Eigenvalue Problems.

Leonid Knizhnerman

SIAM J. Matrix Anal. Appl., 2004

2003

On Optimal Finite-Difference Approximation of PML.

Sergey Asvadurov, Vladimir Druskin, Murthy N. Guddati, Leonid Knizhnerman

SIAM J. Numer. Anal., 2003

2000

On GMRES-Equivalent Bounded Operators.

Leonid Knizhnerman

SIAM J. Matrix Anal. Appl., 2000

Gaussian spectral rules for second order finite-difference schemes.

Vladimir Druskin, Leonid Knizhnerman

Numer. Algorithms, 2000

1999

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

1998

Extended Krylov Subspaces: Approximation of the Matrix Square Root and Related Functions.

Vladimir Druskin, Leonid Knizhnerman

SIAM J. Matrix Anal. Appl., July, 1998

Using Nonorthogonal Lanczos Vectors in the Computation of Matrix Functions.

Vladimir Druskin, Anne Greenbaum, Leonid Knizhnerman

SIAM J. Sci. Comput., 1998

1995

Krylov subspace approximation of eigenpairs and matrix functions in exact and computer arithmetic.

Vladimir Druskin, Leonid Knizhnerman

Numer. Linear Algebra Appl., 1995