Article ID Journal Published Year Pages File Type
4627979 Applied Mathematics and Computation 2014 9 Pages PDF
Abstract

We define and study the inner image-kernel inverse as natural algebraic extension of the inner inverse with prescribed idempotents of elements in rings and the inner inverse of linear operators with prescribed range and kernel. Also, we give applications to perturbation bounds and reverse order laws.

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Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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Inner image-kernel (p,q)(p,q)-inverses in rings
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