The generalized orthogonal solutions of the matrix inverse problem AX = B and optimal approximation

Filomat ◽  
2017 ◽  
Vol 31 (13) ◽  
pp. 4023-4031
Author(s):  
Wei Liu ◽  
Anping Liao ◽  
Baiyu Wang
Keyword(s):  
Inverse Problem ◽  
Optimal Approximation ◽  
Matrix Inverse ◽  
The Matrix ◽  
Generalized Orthogonal

Matrix inverse problem and its optimal approximation problem for R-skew symmetric matrices

2010 ◽  
Vol 216 (12) ◽  
pp. 3515-3521
Author(s):  
Guang-Xin Huang ◽  
Feng Yin ◽  
Hua-Fu Chen ◽  
Ling Chen ◽  
Ke Guo
Keyword(s):  
Inverse Problem ◽  
Approximation Problem ◽  
Optimal Approximation ◽  
Symmetric Matrices ◽  
Matrix Inverse

scholarly journals Re-nnd SOLUTIONS OF THE MATRIX EQUATION AXB=C

2008 ◽  
Vol 84 (1) ◽  
pp. 63-72 ◽  
Author(s):  
DRAGANA S. CVETKOVIĆ-ILIĆ
Keyword(s):  
Inverse Problem ◽  
Linear Algebra ◽  
Matrix Equation ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Explicit Solutions ◽  
Matrix Inverse ◽  
The Matrix ◽  
Necessary And Sufficient ◽  
Special Case

AbstractIn this article we consider Re-nnd solutions of the equation AXB=C with respect to X, where A,B,C are given matrices. We give necessary and sufficient conditions for the existence of Re-nnd solutions and present a general form of such solutions. As a special case when A=I we obtain the results from a paper of Groß (‘Explicit solutions to the matrix inverse problem AX=B’, Linear Algebra Appl.289 (1999), 131–134).

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