# An Iterative Method for the Matrix Principal n-th Root

Serdica Mathematical Journal (1995)

- Volume: 21, Issue: 4, page 335-344
- ISSN: 1310-6600

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topLakić, 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 -

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