Extension and generalization properties of the weighted Minkowski inverse in a Minkowski space for an arbitrary matrix
نویسندگان
چکیده
منابع مشابه
The representation and approximation for the weighted Minkowski inverse in Minkowski space
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 ∈ Mm,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. c © 20...
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In this note, we consider a family of iterative formula for computing the weighted Minskowski inverses A ⊕ M,N in Minskowski space, and give two kinds of iterations and the necessary and sufficient conditions of the convergence of iterations. Keywords—iterative method, the Minskowski inverse, A ⊕ M,N inverse.
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2015
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2015.06.015