Constructing a High-Order Globally Convergent Iterative Method for Calculating the Matrix Sign Function

Constructing a High-Order Globally Convergent Iterative Method for Calculating the Matrix Sign Function

This work is concerned with the construction of a new matrix iteration in the form of an iterative method which is globally convergent for finding the sign of a square matrix having no eigenvalues on the axis of imaginary. Toward this goal, a new method is built via an application of a new four-step...

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Main Author: Haifa Bin Jebreen
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2018/8973867
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spelling doaj-48b78c56296d46fa989e440fa06bfd952020-11-24T20:50:48ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472018-01-01201810.1155/2018/89738678973867Constructing a High-Order Globally Convergent Iterative Method for Calculating the Matrix Sign FunctionHaifa Bin Jebreen0Mathematics Department, College of Science, King Saud University, Riyadh, Saudi ArabiaThis work is concerned with the construction of a new matrix iteration in the form of an iterative method which is globally convergent for finding the sign of a square matrix having no eigenvalues on the axis of imaginary. Toward this goal, a new method is built via an application of a new four-step nonlinear equation solver on a particulate matrix equation. It is discussed that the proposed scheme has global convergence with eighth order of convergence. To illustrate the effectiveness of the theoretical results, several computational experiments are worked out.http://dx.doi.org/10.1155/2018/8973867
collection DOAJ
language English
format Article
sources DOAJ
author Haifa Bin Jebreen
spellingShingle Haifa Bin Jebreen
Constructing a High-Order Globally Convergent Iterative Method for Calculating the Matrix Sign Function
Mathematical Problems in Engineering
author_facet Haifa Bin Jebreen
author_sort Haifa Bin Jebreen
title Constructing a High-Order Globally Convergent Iterative Method for Calculating the Matrix Sign Function
title_short Constructing a High-Order Globally Convergent Iterative Method for Calculating the Matrix Sign Function
title_full Constructing a High-Order Globally Convergent Iterative Method for Calculating the Matrix Sign Function
title_fullStr Constructing a High-Order Globally Convergent Iterative Method for Calculating the Matrix Sign Function
title_full_unstemmed Constructing a High-Order Globally Convergent Iterative Method for Calculating the Matrix Sign Function
title_sort constructing a high-order globally convergent iterative method for calculating the matrix sign function
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2018-01-01
description This work is concerned with the construction of a new matrix iteration in the form of an iterative method which is globally convergent for finding the sign of a square matrix having no eigenvalues on the axis of imaginary. Toward this goal, a new method is built via an application of a new four-step nonlinear equation solver on a particulate matrix equation. It is discussed that the proposed scheme has global convergence with eighth order of convergence. To illustrate the effectiveness of the theoretical results, several computational experiments are worked out.
url http://dx.doi.org/10.1155/2018/8973867
work_keys_str_mv AT haifabinjebreen constructingahighordergloballyconvergentiterativemethodforcalculatingthematrixsignfunction
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