On linear combinations of generalized projectors
نویسندگان
چکیده
منابع مشابه
On linear combinations of two commuting hypergeneralized projectors
The concept of a hypergeneralized projector as a matrix H satisfying H = H†, where H† denotes the Moore–Penrose inverse of H, was introduced by Groß and Trenkler in [Generalized and hypergeneralized projectors, Linear Algebra Appl. 264 (1997) 463-474]. Generalizing substantially some preliminary observations given therein, Baksalary et al. in [On some linear combinations of hypergeneralized pro...
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15 صفحه اولApplications of CS decomposition in linear combinations of two orthogonal projectors
We study the spectrum and the rank of a linear combination of two orthogonal projectors. We characterize when this linear combination is EP, diagonalizable, idempotent, tripotent, involutive, nilpotent, generalized projector, and hypergeneralized projector. Also we derive the Moore-Penrose inverse of a linear combination of two orthogonal projectors in a particular case. The main tool used here...
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We consider generalized inverses of linear operators on arbitrary vector spaces and study the question when their product in reverse order is again a generalized inverse. It turns out that this problem is equivalent to the question when the product of projectors is again a projector, and we discuss necessary and sufficient conditions in terms of the defining spaces. We present a new representat...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2004
ISSN: 0024-3795
DOI: 10.1016/j.laa.2003.09.008