Projections for generalized inverses
نویسندگان
چکیده
منابع مشابه
Operators with equal projections related to their generalized inverses
In this article we characterize operators on Banach spaces which have the same projections related to their outer or inner generalized inverses. As corollaries, we obatin well-known results for the Drazin inverse of bounded operators.
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Abstraet--Jacobians are used in robotics for motion planning and control. They are also used in algorithms that determine linkage parameter errors of robots and in algorithms that determine pair variable corrections for accurate motion. Most applications require that the inverse of the Jacobian be obtained. The causes of singularities in Jacobians and a procedure to detect their presence are gi...
متن کاملGeneralized Inverses and Applications
Fredholm’s method to solve a particular integral equation in 1903, was probably the first written work on generalized inverses. In 1906, Moore formulated the generalized inverse of a matrix in an algebraic setting, which was published in 1920, and in the thirties von Neumann used generalized inverses in his studies of continuous geometries and regular rings. Kaplansky and Penrose, in 1955, inde...
متن کاملThe absorption laws for the generalized inverses
In this paper, we give necessary and sufficient conditions for the absorption laws in terms of {1}, {1, 2}, {1, 3} and {1, 4}-inverses. Also, we consider the various types of mixed absorption law for the generalized inverses.
متن کامل. FA ] 1 4 Se p 20 05 Weighted generalized inverses , oblique projections and least squares problems ∗
A generalization with singular weights of Moore-Penrose generalized inverses of closed range operators in Hilbert spaces is studied using the notion of compatibility of subspaces and positive operators. ∗Partially supported by CONICET (PIP 2083/00), UBACYT I030 and ANPCYT (PICT03-9521)
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ژورنال
عنوان ژورنال: Linear and Multilinear Algebra
سال: 2017
ISSN: 0308-1087,1563-5139
DOI: 10.1080/03081087.2017.1364339