Constructing a High-Order Globally Convergent Iterative Method for Calculating the Matrix Sign Function
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-21
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Bin Jebreen, Haifa. 2018. Constructing a High-Order Globally Convergent Iterative Method for Calculating the Matrix Sign Function. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1209513
Modern Language Association (MLA)
Bin Jebreen, Haifa. Constructing a High-Order Globally Convergent Iterative Method for Calculating the Matrix Sign Function. Mathematical Problems in Engineering No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1209513
American Medical Association (AMA)
Bin Jebreen, Haifa. Constructing a High-Order Globally Convergent Iterative Method for Calculating the Matrix Sign Function. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1209513
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1209513