@article {
author = {Sadeghi, Amir},
title = {A STABLE COUPLED NEWTON'S ITERATION FOR THE MATRIX INVERSE $P$-TH ROOT},
journal = {International Journal of Mathematical Modelling & Computations},
volume = {5},
number = {1 (WINTER)},
pages = {69-79},
year = {2015},
publisher = {Islamic Azad University, Central tehran Branch},
issn = {2228-6225},
eissn = {2228-6233},
doi = {},
abstract = {The computation of the inverse roots of matrices arises in evaluating non-symmetriceigenvalue problems, solving nonlinear matrix equations, computing some matrixfunctions, control theory and several other areas of applications. It is possible toapproximate the matrix inverse pth roots by exploiting a specialized version of New-ton's method, but previous researchers have mentioned that some iterations havepoor convergence and stability properties. In this work, a stable recursive techniqueto evaluate an inverse pth root of a given matrix is presented. The scheme is analyzedand its properties are investigated. Computational experiments are also performedto illustrate the strengths and weaknesses of the proposed method.},
keywords = {Inverse matrix pth roots,Coupled Newton's iterations,Convergency,Stability},
url = {http://ijm2c.iauctb.ac.ir/article_521882.html},
eprint = {http://ijm2c.iauctb.ac.ir/article_521882_1dcc734aab3ddae6b987f1056e33dcda.pdf}
}