Livability is a concept that assesses the quality of life and relative performance of different
regions and communities, based on various qualitative and quantitative factors. The …

The target of this work is to present a multiplication-based iterative method for two Hermitian
positive definite matrices to find the geometric mean. The method is constructed via the …

The goal of this article is to investigate a new solver in the form of an iterative method to
solve X+ A∗ X− 1 A= I as an important nonlinear matrix equation (NME), where A, X, I are …

In this research, an efficient variant of mid-point iterative method is given for computing the
sign of a square complex matrix having no pure imaginary eigenvalues. It is proven that the …

We investigate the Riccati matrix equation XA− 1X= B in which the conventional matrix
products are generalized to the semi-tensor products. When A and B are positive definite …

The purpose of this research is to present a novel scheme based on a quick iterative
scheme for calculating the matrix geometric mean of two Hermitian positive definite (HPD) …

An Inversion‐Free Method for Finding Positive Definite Solution of a Rational Matrix Equation -
Soleymani - 2014 - The Scientific World Journal - Wiley Online Library Skip to Article Content Skip …

In this work, an iterative method under the umbrella of inverse-free methods which do not
rely on the calculation of the inverse matrix per loop is proposed for finding the maximal …

A direct generalized Steffensen's method is proposed for solving the quadratic matrix
equation F (X)≔ X 2− I= 0. In this way, when the matrix A is nonsingular, we derive a new …

In this paper, a new iteration scheme for computing the sign of a matrix which has no pure
imaginary eigenvalues is presented. Then, by applying a well-known identity in matrix …