In this paper, an improvement to the mid-point method is contributed for finding the square
root of a matrix as well as its inverse. To this aim, an iteration scheme to find this matrix …

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 …

It is known that the matrix square root has a significant role in linear algebra computations
arisen in engineering and sciences. Any matrix with no eigenvalues in R-has a unique …

It is shown how the mid‐point iterative method with cubical rate of convergence can be
applied for finding the principal matrix square root. Using an identity between matrix sign …

The objective of this research was to compute the principal matrix square root with sparse
approximation. A new stable iterative scheme avoiding fully matrix inversion (SIAI) is …

Iterative methods play curial roles everywhere in mathematics. Especially, when it comes to
practical problems, their solving processes are mostly led to iteration schemes, in which an …

This paper presents two third order iterative methods to compute a square root of a given
real or complex matrix with real nonnegative eigenvalues. Conditions for the convergence of …

On the Computation of the Matrix <i>k</i>â•’th Root Page 1 eww Á F engewF w thF we hF UV
@IWWVA QD ITU––IUP v ki DF yn the gomput tion of the w trix kEth oot sn this p per we derive …

This paper is devoted to the approximation of matrix p th roots. We present and analyze a
family of algorithms free of inverses. The method is a combination of two families of iterative …

We derive a double-optimal iterative algorithm (DOIA) in an m-degree matrix pencil Krylov
subspace to solve a rectangular linear matrix equation. Expressing the iterative solution in a …