Matrix Polar Decomposition: Computations and Applications

Author(s):

H. H. Esmaeili *

Message:
Article Type:
Review Article (دارای رتبه معتبر)
Abstract:

In this article, an important and widely used matrix decomposition is introduced. This decomposition, named the matrix polar decomposition, is actually a generalization of the polar representation of complex numbers to matrices. Several important applications of matrix polar decomposition in various fields are considered. Also, some iterative methods for computing the matrix polar decomposition and their order of convergence are mentioned.

Keywords:

matrix decomposition , polar decomposition , iterative method , order of convergence

Language:
Persian
Published:
Journal of Mathematical Culture and Thought, Volume:42 Issue: 2, 2024
Pages:
205 to 220
https://www.magiran.com/p2694857