Leonid Knizhnerman

Orcid: 0000-0002-8622-1503

According to our database1, Leonid Knizhnerman authored at least 21 papers between 1995 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Krylov Subspace Residual and Restarting for Certain Second Order Differential Equations.
SIAM J. Sci. Comput., 2024

2022
Model order reduction of layered waveguides via rational Krylov fitting.
CoRR, 2022

2021
Residual and Restarting in Krylov Subspace Evaluation of the φ Function.
SIAM J. Sci. Comput., 2021

2020
ART: Adaptive residual-time restarting for Krylov subspace matrix exponential evaluations.
J. Comput. Appl. Math., 2020

A residual concept for Krylov subspace evaluation of the 𝓁 matrix function.
CoRR, 2020

2016
Near-Optimal Perfectly Matched Layers for Indefinite Helmholtz Problems.
SIAM Rev., 2016

2011
Analysis of the Rational Krylov Subspace and ADI Methods for Solving the Lyapunov Equation.
SIAM J. Numer. Anal., 2011

Convergence analysis of the extended Krylov subspace method for the Lyapunov equation.
Numerische Mathematik, 2011

2010
A new investigation of the extended Krylov subspace method for matrix function evaluations.
Numer. Linear Algebra Appl., 2010

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

2009
Solution of Large Scale Evolutionary Problems Using Rational Krylov Subspaces with Optimized Shifts.
SIAM J. Sci. Comput., 2009

On Optimal Convergence Rate of the Rational Krylov Subspace Reduction for Electromagnetic Problems in Unbounded Domains.
SIAM J. Numer. Anal., 2009

2006
An enhanced Gauss-Newton inversion algorithm using a dual-optimal grid approach.
IEEE Trans. Geosci. Remote. Sens., 2006

2004
Stability Estimates on the Jacobi and Unitary Hessenberg Inverse Eigenvalue Problems.
SIAM J. Matrix Anal. Appl., 2004

2003
On Optimal Finite-Difference Approximation of PML.
SIAM J. Numer. Anal., 2003

2000
On GMRES-Equivalent Bounded Operators.
SIAM J. Matrix Anal. Appl., 2000

Gaussian spectral rules for second order finite-difference schemes.
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.
SIAM J. Numer. Anal., 1999

1998
Extended Krylov Subspaces: Approximation of the Matrix Square Root and Related Functions.
SIAM J. Matrix Anal. Appl., July, 1998

Using Nonorthogonal Lanczos Vectors in the Computation of Matrix Functions.
SIAM J. Sci. Comput., 1998

1995
Krylov subspace approximation of eigenpairs and matrix functions in exact and computer arithmetic.
Numer. Linear Algebra Appl., 1995


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