An Iterative Method for the Matrix Principal n-th Root

Lakić, Slobodan. "An Iterative Method for the Matrix Principal n-th Root." Serdica Mathematical Journal 21.4 (1995): 335-344. <http://eudml.org/doc/11673>.

@article{Lakić1995,
abstract = {In this paper we give an iterative method to compute the principal n-th root and the principal inverse n-th root of a given matrix. As we shall show this method is locally convergent. This method is analyzed and its numerical stability is investigated.},
author = {Lakić, Slobodan},
journal = {Serdica Mathematical Journal},
keywords = {Iterative Methods; Matrix Function; matrix function; principal th root; complex matrix; iterative method; Maclaurin series; stability; complexity},
language = {eng},
number = {4},
pages = {335-344},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {An Iterative Method for the Matrix Principal n-th Root},
url = {http://eudml.org/doc/11673},
volume = {21},
year = {1995},
}

TY - JOUR
AU - Lakić, Slobodan
TI - An Iterative Method for the Matrix Principal n-th Root
JO - Serdica Mathematical Journal
PY - 1995
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 21
IS - 4
SP - 335
EP - 344
AB - In this paper we give an iterative method to compute the principal n-th root and the principal inverse n-th root of a given matrix. As we shall show this method is locally convergent. This method is analyzed and its numerical stability is investigated.
LA - eng
KW - Iterative Methods; Matrix Function; matrix function; principal th root; complex matrix; iterative method; Maclaurin series; stability; complexity
UR - http://eudml.org/doc/11673
ER -