Title of article :
The representation and approximation for the weighted Minkowski inverse in Minkowski space
Author/Authors :
K?l?çman، نويسنده , , Adem and Al Zhour، نويسنده , , Zeyad، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2008
Pages :
9
From page :
363
To page :
371
Abstract :
This paper extends some results for the weighted Moore–Penrose inverse A M , N + in Hilbert space to the so-called weighted Minkowski inverse A M , N ⊕ of an arbitrary rectangular matrix A ∈ M m , n in Minkowski spaces μ . Four methods are also used for approximating the weighted Minkowski Inverse A M , N ⊕ . These methods are: Borel summable, Euler–Knopp summable, Newton–Raphson and Tikhonov’s methods.
Keywords :
Weighted Moore–Penrose inverse , Weighted Minkowski inverses , Group inverse , Matrix norm , Minkowski space , Weighted SVD , Convergence , Weighted range symmetric matrix , Positive definite matrix , Sequence
Journal title :
Mathematical and Computer Modelling
Serial Year :
2008
Journal title :
Mathematical and Computer Modelling
Record number :
1595408
Link To Document :
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