TY - JOUR
ID - 521882
TI - A STABLE COUPLED NEWTON'S ITERATION FOR THE MATRIX INVERSE $P$-TH ROOT
JO - International Journal of Mathematical Modelling & Computations
JA - IJM2C
LA - en
SN - 2228-6225
AU - Sadeghi, Amir
AD - Young Researcher Club, Shahre-rey branch, Islamic Azad university, Tehran, Iran.
Iran, Islamic Republic of
Y1 - 2015
PY - 2015
VL - 5
IS - 1 (WINTER)
SP - 69
EP - 79
KW - Inverse matrix pth roots
KW - Coupled Newton's iterations
KW - Convergency
KW - Stability
DO -
N2 - 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.
UR - http://ijm2c.iauctb.ac.ir/article_521882.html
L1 - http://ijm2c.iauctb.ac.ir/article_521882_1dcc734aab3ddae6b987f1056e33dcda.pdf
ER -