A FOURTH ORDER ITERATIVE SCHEME FOR THE COMPUTATION OF A MATRIX INVERSE
SQUARE ROOT
- Arif Rafiq
, - Afia Shafique
Arif Rafiq

Virtual University of Pakistan
Corresponding Author:aarafiq@gmail.com
Author ProfileAbstract
In this paper, we introduce a fourth-order iterative scheme tailored for
a parametric matrix family to calculate the inverse square root of
matrices. Initially, we will design a fourth-order algorithm for the
matrix equation, followed by the development of a coupled scheme to
address stability concerns. Moreover, we will conduct a comprehensive
analysis of convergence and stability, substantiated by numerical
examples.