This work proposes a new scheme under the umbrella of iteration methods to compute the
sign of an invertible matrix. To this target, a review of the exiting solvers of the same type is …

The objective of this study is to extract two pairs of left and right deflating subspaces of a
regular matrix pencil A− λ B corresponding to the eigenvalues lying inside and outside the …

In the present study, two new compositions of convergence order six are presented for
solving nonlinear equations. The first method is obtained from the third-order one given by …

The main objective of this study is to develop two novel iterative schemes for computing the
sign of a matrix with no pure imaginary eigenvalues. Detailed convergence analysis and …

The goal of this study is to construct a novel iterative method to compute the matrix sign
function using a different approach. It is discussed that the new method is globally …

The target of this article is to propose a novel numerical scheme that can compete its
corresponding solvers of the same type for computing the sign matrix. To do this, a three …

In this work, an investigation on an iterative scheme to calculate the matrix square root and
its inversion simultaneously is performed and further discussed via the concept of matrix …

An optimal eighth-order multipoint numerical iterative method is constructed to find the
simple root of scalar nonlinear equations. It is a three-point numerical iterative method that …