TY  - JOUR
T1  - On the Polar Decomposition and Least Squares Problem
AU - Jafarian, A. AU - , A. Mohamadalizadeh 
JO  - Journal of Engineering and Applied Sciences
VL  - 8
IS  - 6
SP  - 215
EP  - 219
PY  - 2013
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2013.215.219
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2013.215.219
KW  - Linear equations system
KW  -least squares problem
KW  -polar and SVD decomposition
KW  -normal equation
KW  -Pseudo-inverse matrix
AB  - This research investigate the way of using the polar decomposition 
  of matrix in solving the least squares problem. By using this decomposition, 
  researchers can solve the liner system. Also, this study included the way of 
  obtaining inverse of a non-singular matrix and determinant of a matrix by this 
  decomposition. Finally, the problem of least squares solved by normal equations 
  and Pseudo-inverse matrix by using the polar decomposition. With solving some 
  example, researchers show that the accuracy of this method.
ER  -