Shift-invert rational Krylov method for an operator \(\phi \)-function of an unbounded linear operator
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Publication:2318499
DOI10.1007/s13160-019-00347-5zbMath1418.65064OpenAlexW2917450319MaRDI QIDQ2318499
Takashi Nodera, Yuka Hashimoto
Publication date: 15 August 2019
Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13160-019-00347-5
Functional calculus for linear operators (47A60) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) Numerical computation of matrix exponential and similar matrix functions (65F60)
Related Items (3)
A preconditioning technique for Krylov subspace methods in RKHSs ⋮ Krylov subspace methods for estimating operator-vector multiplications in Hilbert spaces ⋮ Unnamed Item
Cites Work
- Numerical range and functional calculus in Hilbert space
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- Spectral theory of closed distributive operators
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- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Efficient Solution of Parabolic Equations by Krylov Approximation Methods
- On Krylov Subspace Approximations to the Matrix Exponential Operator
- Uniform Approximation of $\varphi$-Functions in Exponential Integrators by a Rational Krylov Subspace Method with Simple Poles
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