منابع مشابه
Invariance properties of an operator product involving generalized inverses
Given bounded linear operators T1, T2 and T3, this paper investigates certain invariance properties of the operator product T1XT3 with respect to the choice of bounded linear operator X, where X is a generalized inverse of T2. Different types of generalized inverses are taken into account.
متن کاملEla Invariance Properties of an Operator Product Involving Generalized Inverses
Received by the editors on April 16, 2011. Accepted for publication on June 27, 2011. Handling Editor: Oskar Maria Baksalary. Department of Mathematics, Wuyi University, Jiangmen 529020, Guangdong, P.R. China ([email protected]). The work was supported by the start-up fund of Wuyi University, Jiangmen 529020, Guangdong Province. Department of Mathematics, Wuyi University, Jiangmen 529020, Guangd...
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Motivating the perturbations of frames in Hilbert and Banach spaces, in this paper we introduce the invariance of Fr'echet frames under perturbation. Also we show that for any Fr'echet spaces, there is a Fr'echet frame and any element in these spaces has a series expansion.
متن کاملSuccessive matrix squaring algorithm for computing outer inverses
In this paper we derive a successive matrix squaring (SMS) algorithm to approximate an outer generalized inverse with prescribed range and null space of a given matrix A ∈ Cm×n r . We generalize the results from the papers [3], [16], [18], and obtain an algorithm for computing various classes of outer generalized inverses of A. Instead of particular matrices used in these articles, we use an ap...
متن کاملGauss-Jordan elimination method for computing outer inverses
This paper deals with the algorithm for computing outer inverse with prescribed range and null space, based on the choice of an appropriate matrix G and Gauss–Jordan elimination of the augmented matrix [G | I]. The advantage of such algorithms is the fact that one can compute various generalized inverses using the same procedure, for different input matrices. In particular, we derive representa...
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ژورنال
عنوان ژورنال: Aequationes mathematicae
سال: 2017
ISSN: 0001-9054,1420-8903
DOI: 10.1007/s00010-017-0524-5