Determinantal representations of the W-weighted Drazin inverse over the quaternion skew field

2015 ◽  
Vol 264 ◽  
pp. 453-465 ◽  
Author(s):  
Ivan Kyrchei
Keyword(s):  
Drazin Inverse ◽  
Skew Field ◽  
Weighted Drazin Inverse

scholarly journals Explicit Determinantal Representation Formulas ofW-Weighted Drazin Inverse Solutions of Some Matrix Equations over the Quaternion Skew Field

2016 ◽  
Vol 2016 ◽  
pp. 1-13 ◽  
Author(s):  
Ivan I. Kyrchei
Keyword(s):  
Drazin Inverse ◽  
Matrix Equations ◽  
Quaternion Matrix ◽  
Explicit Formulas ◽  
Skew Field ◽  
Determinantal Representation ◽  
Representation Formulas ◽  
Inverse Solutions ◽  
Cramer’S Rule ◽  
Weighted Drazin Inverse

By using determinantal representations of theW-weighted Drazin inverse previously obtained by the author within the framework of the theory of the column-row determinants, we get explicit formulas for determinantal representations of theW-weighted Drazin inverse solutions (analogs of Cramer’s rule) of the quaternion matrix equationsWAWX=D,XWBW=D, andW1AW1XW2BW2=D.

Recurrent neural network for computing the W -weighted Drazin inverse

2017 ◽  
Vol 300 ◽  
pp. 1-20 ◽  
Author(s):  
Xue-Zhong Wang ◽  
Haifeng Ma ◽  
Predrag S. Stanimirović
Keyword(s):  
Neural Network ◽  
Recurrent Neural Network ◽  
Drazin Inverse ◽  
Weighted Drazin Inverse

Condition number of the W-weighted Drazin inverse

2008 ◽  
Vol 203 (1) ◽  
pp. 308-318 ◽  
Author(s):  
Dijana Mosić ◽  
Dragan S. Djordjević
Keyword(s):  
Condition Number ◽  
Drazin Inverse ◽  
Weighted Drazin Inverse
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