Efficient inversion of matrix \(\varphi \)-functions of low order

DOI10.1016/j.apnum.2023.05.026zbMath1526.65016arXiv2302.07565OpenAlexW4379141284MaRDI QIDQ6064896

Luca Gemignani

Publication date: 10 November 2023

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.07565

zbMATH Keywords

Newton iterationmatrix inversionKrylov methodsmatrix functionrank structure

Mathematics Subject Classification ID

Numerical computation of matrix exponential and similar matrix functions (65F60)

Cites Work

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• Decay bounds for the numerical quasiseparable preservation in matrix functions
• A spectral method for the time evolution in parabolic problems
• Parametrization of Newton's iteration for computations with structured matrices and applications
• On a new class of structured matrices
• Structured matrices and Newton's iteration: unified approach
• On the Lambert \(w\) function
• Fast and efficient parallel solution of dense linear systems
• Problems on correctness of ordinary and inverse problems for evolutionary equations of a special form
• Separable type representations of matrices and fast algorithms. Volume 1. Basics. Completion problems. Multiplication and inversion algorithms
• KIOPS: a fast adaptive Krylov subspace solver for exponential integrators
• Computing the reciprocal of a \(\phi\)-function by rational approximation
• BAMPHI: matrix-free and transpose-free action of linear combinations of \(\varphi\)-functions from exponential integrators
• Exponential integrators
• Localization in Matrix Computations: Theory and Applications
• Algorithm 919
• Fast algorithms for hierarchically semiseparable matrices
• Efficient solution of parameter-dependent quasiseparable systems and computation of meromorphic matrix functions
• Matrix Functions: A Short Course
• The Scaling and Squaring Method for the Matrix Exponential Revisited
• Efficient Solution of Parabolic Equations by Krylov Approximation Methods
• Expokit
• Efficient approximation of functions of some large matrices by partial fraction expansions
• hm-toolbox: MATLAB Software for HODLR and HSS Matrices
• A GMRES Convergence Analysis for Localized Invariant Subspace Ill-Conditioning

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