Approximation of the matrix exponential for matrices with a skinny field of values
From MaRDI portal
Publication:2216485
DOI10.1007/s10543-020-00809-0zbMath1455.65069OpenAlexW3025990955WikidataQ115604954 ScholiaQ115604954MaRDI QIDQ2216485
Franco Zivcovich, Fabio Cassini, Marco Caliari
Publication date: 16 December 2020
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10543-020-00809-0
Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Numerical computation of matrix exponential and similar matrix functions (65F60)
Related Items
A \(\mu\)-mode integrator for solving evolution equations in Kronecker form ⋮ Comparison of exponential integrators and traditional time integration schemes for the shallow water equations ⋮ Accelerating Exponential Integrators to Efficiently Solve Semilinear Advection-Diffusion-Reaction Equations ⋮ A \(\mu\)-mode BLAS approach for multidimensional tensor-structured problems ⋮ BAMPHI: matrix-free and transpose-free action of linear combinations of \(\varphi\)-functions from exponential integrators
Uses Software
Cites Work
- Unnamed Item
- Estimating the matrix \(p\)-norm
- Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals
- Backward error analysis of polynomial approximations for computing the action of the matrix exponential
- RD-rational approximations of the matrix exponential
- KIOPS: a fast adaptive Krylov subspace solver for exponential integrators
- Accurate evaluation of divided differences for polynomial interpolation of exponential propagators
- The Leja Method Revisited: Backward Error Analysis for the Matrix Exponential
- Rational Krylov approximation of matrix functions: Numerical methods and optimal pole selection
- Exponential integrators
- Efficient and Stable Arnoldi Restarts for Matrix Functions Based on Quadrature
- Algorithm 919
- Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators
- High Degree Polynomial Interpolation in Newton Form
- A New Scaling and Squaring Algorithm for the Matrix Exponential
- Numerical Determination of the Field of Values of a General Complex Matrix
- Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
- A Block Algorithm for Matrix 1-Norm Estimation, with an Application to 1-Norm Pseudospectra
- Accurate Computation of Divided Differences of the Exponential Function
- The Scaling and Squaring Method for the Matrix Exponential Revisited
- The Numerical Range is a $(1+\sqrt{2})$-Spectral Set
- Functions of Matrices
- Preconditioning Lanczos Approximations to the Matrix Exponential
