Approximating the Matrix Sign Function Using a Novel Iterative Method

This study presents a matrix iterative method for finding the sign of a square complex matrix. It is shown that the sequence of iterates converges to the sign and has asymptotical stability, provided that the initial matrix is appropriately chosen. Some illustrations are presented to support the the...

Full description

Saved in:
Bibliographic Details
Published in:Abstract and Applied Analysis 2014-01, Vol.2014, p.127-135
Main Authors: Soleymani, F., Stanimirović, P. S., Shateyi, S., Haghani, F. Khaksar
Format: Article
Language:English
Subjects:
Applied mathematics
Approximation theory
Colleges & universities
Convergence (Mathematics)
Iterative methods
Iterative methods (Mathematics)
Linear algebra
Mathematical research
Mathematics
Matrices
Sequences (Mathematics)
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This study presents a matrix iterative method for finding the sign of a square complex matrix. It is shown that the sequence of iterates converges to the sign and has asymptotical stability, provided that the initial matrix is appropriately chosen. Some illustrations are presented to support the theory.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/105301