Efficient approximation of functions of some large matrices by partial fraction expansions
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Publication:5031745
DOI10.1080/00207160.2018.1533123zbMath1499.65156arXiv1709.06351OpenAlexW3102592850MaRDI QIDQ5031745
Daniele Bertaccini, Marina Popolizio, Fabio Durastante
Publication date: 16 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.06351
Factorization of matrices (15A23) Preconditioners for iterative methods (65F08) Numerical computation of matrix exponential and similar matrix functions (65F60)
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Cites Work
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- Sparse approximate inverse preconditioners on high performance GPU platforms
- Interpolating preconditioners for the solution of sequence of linear systems
- Computing \(exp(-\tau A) b\) with Laguerre polynomials
- On the use of matrix functions for fractional partial differential equations
- Propriétés des matrices ``bien localisées près de leur diagonale et quelques applications. (Properties of matrices ``well localized near the diagonal and some applications)
- Decay bounds and \(O(n)\) algorithms for approximating functions of sparse matrices
- Implementation of a restarted Krylov subspace method for the evaluation of matrix functions
- Computing the logarithm of a symmetric positive definite matrix
- Approximate inverse preconditioning for shifted linear systems
- RD-rational approximations of the matrix exponential
- Efficient preconditioning for sequences of parametric complex symmetric linear systems
- Preconditioning techniques for large linear systems: A survey
- Updating preconditioners for nonlinear deblurring and denoising image restoration
- On the decay of the inverse of matrices that are sum of Kronecker products
- Chebyshev rational approximations to \(e^{-x}\) in \([0,+\infty)\) and applications to heat-conduction problems
- Localization in Matrix Computations: Theory and Applications
- The university of Florida sparse matrix collection
- Rational Lanczos approximations to the matrix square root and related functions
- A new investigation of the extended Krylov subspace method for matrix function evaluations
- Nonsymmetric Preconditioner Updates in Newton–Krylov Methods for Nonlinear Systems
- Acceleration Techniques for Approximating the Matrix Exponential Operator
- Computing $A^\alpha, \log(A)$, and Related Matrix Functions by Contour Integrals
- Decay Rates for Inverses of Band Matrices
- Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator
- A Review on the Inverse of Symmetric Tridiagonal and Block Tridiagonal Matrices
- Padé error estimates for the logarithm of a matrix
- Expokit
- Decay Rates of the Inverse of Nonsymmetric Tridiagonal and Band Matrices
- On Krylov Subspace Approximations to the Matrix Exponential Operator
- Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
- Orderings for Factorized Sparse Approximate Inverse Preconditioners
- Scalable Parallel Preconditioning with the Sparse Approximate Inverse of Triangular Matrices
- The restarted shift-and-invert Krylov method for matrix functions
- On the Decay of the Elements of Inverse Triangular Toeplitz Matrices
- Efficient approximation of the exponential operator for discrete 2D advection–diffusion problems
- Functions of Matrices
- Preconditioning Lanczos Approximations to the Matrix Exponential
- Analysis of Projection Methods for Rational Function Approximation to the Matrix Exponential
