A residual based error estimate for Leja interpolation of matrix functions

DOI10.1016/j.laa.2014.04.023zbMath1293.65075OpenAlexW2089231481MaRDI QIDQ2249730

Stefan Rainer, Peter Kandolf, Alexander Ostermann

Publication date: 3 July 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2014.04.023

zbMATH Keywords

numerical examplesa posteriori error estimateexponential integratorsaction of matrix exponentialLeja interpolation\(\phi\) functionsmatrix residual

Mathematics Subject Classification ID

Numerical interpolation (65D05) Matrix exponential and similar functions of matrices (15A16) Numerical computation of matrix exponential and similar matrix functions (65F60)

Related Items

A framework of the harmonic Arnoldi method for evaluating \(\varphi\)-functions with applications to exponential integrators, Limited‐memory polynomial methods for large‐scale matrix functions, Extraction and prediction of coherent patterns in incompressible flows through space-time koopman analysis, KIOPS: a fast adaptive Krylov subspace solver for exponential integrators, The Leja Method Revisited: Backward Error Analysis for the Matrix Exponential

Uses Software

• Expokit

Cites Work

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