WEIGHTED MOORE-PENROSE INVERTIBLE AND WEIGHTED EP BANACH ALGEBRA ELEMENTS
نویسندگان
چکیده
منابع مشابه
The M–matrix Moore–Penrose inverse problem for weighted paths
Abstract. A well–known property of an irreducible non–singular M–matrix is that its inverse is non–negative. However, when the matrix is an irreducible and singular M–matrix it is known that it has a generalized inverse which is non–negative, but this is not always true for any generalized inverse. We focus here in characterizing when the Moore–Penrose inverse of a symmetric, singular, irreduci...
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The goal of this paper is to present an accelerated iterative method for computing weighted Moore–Penrose inverse. Analysis of convergence is included to show that the proposed scheme has sixth-order convergence. Using a proper initial matrix, a sequence of iterates will be produced, which is convergent to the weighted Moore–Penrose inverse. Numerical experiments are reported to show the effici...
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ژورنال
عنوان ژورنال: Journal of the Korean Mathematical Society
سال: 2013
ISSN: 0304-9914
DOI: 10.4134/jkms.2013.50.6.1349