scholarly journals A Hermitian least squares solution of the matrix equation AXB=C subject to inequality restrictions

2012 ◽  
Vol 64 (6) ◽  
pp. 1752-1760 ◽  
Author(s):  
Ying Li ◽  
Yan Gao ◽  
Wenbin Guo
Keyword(s):  
Least Squares ◽  
Matrix Equation ◽  
Least Squares Solution ◽  
Inequality Restrictions ◽  
The Matrix

scholarly journals Minimal properties of the Drazin-inverse solution of a matrix equation

Filomat ◽  
2014 ◽  
Vol 28 (2) ◽  
pp. 383-395
Author(s):  
Marko Miladinovic ◽  
Sladjana Miljkovic ◽  
Predrag Stanimirovic
Keyword(s):  
Least Squares ◽  
Minimization Problem ◽  
Matrix Equation ◽  
Inverse Solution ◽  
Drazin Inverse ◽  
Minimal Norm ◽  
Least Squares Solution ◽  
The Matrix

We present the Drazin-inverse solution of the matrix equation AXB = G as a least-squares solution of a specified minimization problem. Some important properties of the Moore-Penrose inverse are extended on the Drazin inverse by exploring the minimal norm properties of the Drazin-inverse solution of the matrix equation AXB = G. The least squares properties of the Drazin-inverse solution lead to new representations of the Drazin inverse of a given matrix, which are justified by illustrative examples.

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