A one parameter method for the matrix inverse square root
Applications of Mathematics (1997)
- Volume: 42, Issue: 6, page 401-410
- ISSN: 0862-7940
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topLakić, Slobodan. "A one parameter method for the matrix inverse square root." Applications of Mathematics 42.6 (1997): 401-410. <http://eudml.org/doc/32989>.
@article{Lakić1997,
abstract = {This paper is motivated by the paper [3], where an iterative method for the computation of a matrix inverse square root was considered. We suggest a generalization of the method in [3]. We give some sufficient conditions for the convergence of this method, and its numerical stabillity property is investigated. Numerical examples showing that sometimes our generalization converges faster than the methods in [3] are presented.},
author = {Lakić, Slobodan},
journal = {Applications of Mathematics},
keywords = {Newton method; matrix inverse square root; iterative process; inverse square root; iterative process},
language = {eng},
number = {6},
pages = {401-410},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A one parameter method for the matrix inverse square root},
url = {http://eudml.org/doc/32989},
volume = {42},
year = {1997},
}
TY - JOUR
AU - Lakić, Slobodan
TI - A one parameter method for the matrix inverse square root
JO - Applications of Mathematics
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 42
IS - 6
SP - 401
EP - 410
AB - This paper is motivated by the paper [3], where an iterative method for the computation of a matrix inverse square root was considered. We suggest a generalization of the method in [3]. We give some sufficient conditions for the convergence of this method, and its numerical stabillity property is investigated. Numerical examples showing that sometimes our generalization converges faster than the methods in [3] are presented.
LA - eng
KW - Newton method; matrix inverse square root; iterative process; inverse square root; iterative process
UR - http://eudml.org/doc/32989
ER -
References
top- 10.1090/S0002-9939-1955-0067841-7, Proc. Amer. Math. Soc. 6 (1955), 111–116. (1955) MR0067841DOI10.1090/S0002-9939-1955-0067841-7
- Theory of Matrices, Academic Pres, New York, 1969. (1969) Zbl0186.05301MR0245579
- 10.1007/BF02257775, Computing 46 (1991), 295–305. (1991) Zbl0741.65039MR1129098DOI10.1007/BF02257775
- Introduction to Matrix Computation, Academic Pres, New York, 1974. (1974) MR0458818
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