A study of defect-based error estimates for the Krylov approximation of \(\varphi\)-functions
From MaRDI portal
Publication:2129640
DOI10.1007/s11075-021-01190-xOpenAlexW3211624668MaRDI QIDQ2129640
Publication date: 22 April 2022
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.11922
Error bounds for numerical methods for ordinary differential equations (65L70) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Numerical computation of matrix exponential and similar matrix functions (65F60)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A framework of the harmonic Arnoldi method for evaluating \(\varphi\)-functions with applications to exponential integrators
- From quantum to classical molecular dynamics: Reduced models and numerical analysis.
- Implementation of a restarted Krylov subspace method for the evaluation of matrix functions
- Analysis of the symmetric Lanczos algorithm with reorthogonalization methods
- Error bounds in the simple Lanczos procedure for computing functions of symmetric matrices and eigenvalues
- A Krylov projection method for systems of ODEs
- RD-rational approximations of the matrix exponential
- Error estimates for Krylov subspace approximations of matrix exponentials
- The influence of orthogonality on the Arnoldi method
- ART: adaptive residual-time restarting for Krylov subspace matrix exponential evaluations
- Computable upper error bounds for Krylov approximations to matrix exponentials and associated \(\varphi\)-functions
- A posteriori error estimates of Krylov subspace approximations to matrix functions
- The Leja Method Revisited: Backward Error Analysis for the Matrix Exponential
- Residual, Restarting, and Richardson Iteration for the Matrix Exponential
- Convergence Analysis of an Extended Krylov Subspace Method for the Approximation of Operator Functions in Exponential Integrators
- Exponential integrators
- Efficient and Stable Arnoldi Restarts for Matrix Functions Based on Quadrature
- Algorithm 919
- Error Estimates and Evaluation of Matrix Functions via the Faber Transform
- A new investigation of the extended Krylov subspace method for matrix function evaluations
- Deflated Restarting for Matrix Functions
- Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators
- On Restart and Error Estimation for Krylov Approximation of $w=f(A)v$
- Error Estimates for Polynomial Krylov Approximations to Matrix Functions
- Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator
- Efficient Solution of Parabolic Equations by Krylov Approximation Methods
- Error Analysis of the Lanczos Algorithm for Tridiagonalizing a Symmetric Matrix
- The Sensitivity of the Matrix Exponential
- Expokit
- On Krylov Subspace Approximations to the Matrix Exponential Operator
- Extended Krylov Subspaces: Approximation of the Matrix Square Root and Related Functions
- Using Nonorthogonal Lanczos Vectors in the Computation of Matrix Functions
- Exponential Integrators for Large Systems of Differential Equations
- Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
- Accuracy and Stability of Numerical Algorithms
- Accurate Computation of Divided Differences of the Exponential Function
- Error Bounds for the Krylov Subspace Methods for Computations of Matrix Exponentials
- A Restarted Krylov Subspace Method for the Evaluation of Matrix Functions
- Functions of Matrices
- Preconditioning Lanczos Approximations to the Matrix Exponential
- Two polynomial methods of calculating functions of symmetric matrices
- An interpolatory approximation of the matrix exponential based on Faber polynomials
- Compact schemes for laser-matter interaction in Schrödinger equation based on effective splittings of Magnus expansion
This page was built for publication: A study of defect-based error estimates for the Krylov approximation of \(\varphi\)-functions
