Conditioning of the Exponential of a Block Triangular Matrix

@article{Dieci2001ConditioningOT,
title={Conditioning of the Exponential of a Block Triangular Matrix},
author={Luca Dieci and Alessandra Papini},
journal={Numerical Algorithms},
year={2001},
volume={28},
pages={137-150}
}

We propose a new measure of conditioning for the exponential of a block triangular matrix. We also show that different “condition numbers” must be used to assess the accuracy of different algorithms which implement diagonal Padé with scaling and squaring.