A numerical method for computing the principal square root of a matrix
type: Item
instance of: scholarly article
title: A numerical method for computing the principal square root of a matrix
zbMATH Open document ID: 1474.65124
DOI: 10.1155/2014/525087
author: S. Shateyi
author: F. Khaksar Haghani
author: Fazlollah Soleymani
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: 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 function and matrix square root, we construct a variant of mid-point method which is asymptotically stable in the neighborhood of the solution. Finally, application of the presented approach is illustrated in solving a matrix differential equation.
Mathematics Subject Classification ID: 65F60
Mathematics Subject Classification ID: 15A16
zbMATH DE Number: 7022554
Wikidata QID: Q59039153
describes a project that uses: mftoolbox
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/525087
OpenAlex ID: W2149773343
cites work: Functions of Matrices
cites work: Semidefinite Programs: New Search Directions, Smoothing-Type Methods, and Numerical Results
cites work: Square roots of complex matrices
cites work: Newton's Method for the Matrix Square Root
cites work: A Schur method for the square root of a matrix
cites work: The matrix sign function and computations in systems
cites work: Calculus of \(n\)th roots and third order iterative methods.
cites work: A note on computing the matrix square root
cites work: Some variant of Newton's method with third-order convergence.
cites work: On the Matrix Square Root
cites work: On Q-order and R-order of convergence
cites work: On the Newton Method for the Matrix Pth Root
cites work: On Halley's Iteration Method
cites work: On Newton's method and Halley's method for the principal \(p\)th root of a matrix
cites work: Rational Iterative Methods for the Matrix Sign Function
cites work: On a fourth-order matrix method for computing polar decomposition
cites work: Some matrix iterations for computing matrix sign function
cites work: A Schur–Newton Method for the Matrix \lowercase{\boldmathp}th Root and its Inverse
description: scientific article; zbMATH DE number 7022554