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A characterization and representation of the generalized inverse \(A_{T,S}^{(2)}\) and its applications. (English) Zbl 0934.15003

Summary: This paper presents an explicit expression for the generalized inverse \(A^{(2)}_{T,S}\). Based on this, we established the characterization, the representation theorem and the limiting process for \(A^{(2)}_{T,S}\). As an application, we estimate the error bound of the iterative method for approximating \(A^{(2)}_{T,S}\).

MSC:

15A09 Theory of matrix inversion and generalized inverses
65F20 Numerical solutions to overdetermined systems, pseudoinverses
65F10 Iterative numerical methods for linear systems
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