Functions of rational Krylov space matrices and their decay properties
From MaRDI portal
Publication:2038417
DOI10.1007/s00211-021-01198-4zbMath1470.65081OpenAlexW3152488598MaRDI QIDQ2038417
Stefano Pozza, Valeria Simoncini
Publication date: 6 July 2021
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-021-01198-4
Approximation by rational functions (41A20) Orthogonalization in numerical linear algebra (65F25) Numerical computation of matrix exponential and similar matrix functions (65F60)
Related Items (3)
The Short-Term Rational Lanczos Method and Applications ⋮ Sensitivity of Matrix Function Based Network Communicability Measures: Computational Methods and A Priori Bounds ⋮ Inexact rational Krylov Subspace methods for approximating the action of functions of matrices
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A black-box rational Arnoldi variant for Cauchy-Stieltjes matrix functions
- Adaptive rational Krylov subspaces for large-scale dynamical systems
- Convergence analysis of the extended Krylov subspace method for the Lyapunov equation
- Rational Krylov sequence methods for eigenvalue computation
- Decay bounds and \(O(n)\) algorithms for approximating functions of sparse matrices
- Rational Krylov for eigenvalue computation and model order reduction
- Extended Krylov subspace for parameter dependent systems
- An extended relation between orthogonal rational functions on the unit circle and the interval \([ - 1,1\)]
- The extended Krylov subspace method and orthogonal Laurent polynomials
- The rational Krylov algorithm for nonsymmetric eigenvalue problems. III: Complex shifts for real matrices
- The Faber operator and its boundedness
- Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices
- Inexact methods for the low rank solution to large scale Lyapunov equations
- Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19--25, 2003.
- On Faber polynomials and Faber expansions
- Rational Krylov approximation of matrix functions: Numerical methods and optimal pole selection
- Decay Bounds for Functions of Hermitian Matrices with Banded or Kronecker Structure
- Error Estimates and Evaluation of Matrix Functions via the Faber Transform
- Analysis of the Rational Krylov Subspace and ADI Methods for Solving the Lyapunov Equation
- An Error Analysis for Rational Galerkin Projection Applied to the Sylvester Equation
- Solution of Large Scale Evolutionary Problems Using Rational Krylov Subspaces with Optimized Shifts
- Computational Methods for Linear Matrix Equations
- Decay Rates for Inverses of Band Matrices
- Decay Rates of the Inverse of Nonsymmetric Tridiagonal and Band Matrices
- Extended Krylov Subspaces: Approximation of the Matrix Square Root and Related Functions
- Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing
- Model Reduction and Approximation
- A Comparison of Limited-memory Krylov Methods for Stieltjes Functions of Hermitian Matrices
- Inexact Matrix-Vector Products in Krylov Methods for Solving Linear Systems: A Relaxation Strategy
- The structure of matrices in rational Gauss quadrature
- Functions of Matrices
- Explicit Solutions of Linear Matrix Equations
- Variable Accuracy of Matrix-Vector Products in Projection Methods for Eigencomputation
- Approximation of Large-Scale Dynamical Systems
This page was built for publication: Functions of rational Krylov space matrices and their decay properties