In this work, an iterative method is developed to find the matrix sign function. It is discussed
in detail that the method is novel in comparison to its competitors from the Padé family of …

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) …

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 …

Using the relation between a principal matrix square root and its inverse with the geometric
mean, we present a fast algorithm for computing the geometric mean of two Hermitian …

An algorithm for numerically computing an interval matrix containing the geometric mean of
two Hermitian positive definite (HPD) matrices is proposed. We consider a special …

In this article, we first introduce the necessary and sufficient conditions for the existence of
the Hermitian positive definite solution group of a system of nonlinear matrix equations X 1 p …

In this paper, two relaxed gradient-based algorithms for solving the linear matrix equation
AXB+ CXD= F AXB+ CXD= F and finding the Hermitian and skew-Hermitian solutions are …

Some matrix equations are important in application and studying in various fields of
sciences. One of them is continuous-time algebraic Riccati matrix equation that is an …

Two iterative algorithms are presented in this paper to solve the minimal norm least squares
solution to a general linear matrix equations including the well-known Sylvester matrix …

In this paper, a modified Hermitian and skew-Hermitian splitting (MHSS) iteration method for
solving the complex linear matrix equation AXB= C has been presented. As the theoretical …