Two polynomial methods of calculating functions of symmetric matrices
USSR Computational Mathematics and Mathematical Physics
Convergence of iterations for linear equations
Convergence of iterations for linear equations
On Krylov Subspace Approximations to the Matrix Exponential Operator
SIAM Journal on Numerical Analysis
Preconditioning Lanczos Approximations to the Matrix Exponential
SIAM Journal on Scientific Computing
Analysis of Projection Methods for Rational Function Approximation to the Matrix Exponential
SIAM Journal on Numerical Analysis
On the construction of restricted-denominator exponential W-methods
Journal of Computational and Applied Mathematics
Functions of Matrices: Theory and Computation (Other Titles in Applied Mathematics)
Functions of Matrices: Theory and Computation (Other Titles in Applied Mathematics)
Acceleration Techniques for Approximating the Matrix Exponential Operator
SIAM Journal on Matrix Analysis and Applications
Error Estimates for Polynomial Krylov Approximations to Matrix Functions
SIAM Journal on Matrix Analysis and Applications
Solution of Large Scale Evolutionary Problems Using Rational Krylov Subspaces with Optimized Shifts
SIAM Journal on Scientific Computing
Error Estimates and Evaluation of Matrix Functions via the Faber Transform
SIAM Journal on Numerical Analysis
Shift-Invert Arnoldi Approximation to the Toeplitz Matrix Exponential
SIAM Journal on Scientific Computing
Evaluation of generalized Mittag---Leffler functions on the real line
Advances in Computational Mathematics
A family of Adams exponential integrators for fractional linear systems
Computers & Mathematics with Applications
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In this paper we analyze the convergence of some commonly used Krylov subspace methods for computing the action of matrix Mittag-Leffler functions. As is well known, such functions find application in the solution of fractional differential equations. We illustrate the theoretical results by some numerical experiments.