@article{21,
abstract = {We address the general mathematical problem of computing the inverse p-th
root of a given matrix in an efficient way. A new method to construct iteration
functions that allow calculating arbitrary p-th roots and their inverses of
symmetric positive definite matrices is presented. We show that the order of
convergence is at least quadratic and that adaptively adjusting a parameter q
always leads to an even faster convergence. In this way, a better performance
than with previously known iteration schemes is achieved. The efficiency of the
iterative functions is demonstrated for various matrices with different
densities, condition numbers and spectral radii.},
author = {Richters, Dorothee and Lass, Michael and Walther, Andrea and Plessl, Christian and Kühne, Thomas},
journal = {Communications in Computational Physics},
number = {2},
pages = {564--585},
publisher = {Global Science Press},
title = {{A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices}},
doi = {10.4208/cicp.OA-2018-0053},
volume = {25},
year = {2019},
}