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General Forms for the Recursive Determination of Generalized Inverses: Unified Approach
Authors:F E Udwadia  R E Kalaba
Institution:(1) Civil Engineering, and Business, University of Southern California, Los Angeles, California;(2) Electrical Engineering, and Economics, University of Southern California, Los Angeles, California
Abstract:Results for the recursive determination of different types of generalized inverses of a matrix are presented for the case of the addition of a block-column matrix of arbitrary size. Using a unifying underlying theme, results for the generalized inverse, least-square generalized inverse, minimum norm generalized inverse, and Moore–Penrose inverse are included.
Keywords:Generalized inverses  recursive determination  addition of block-column matrices  unified approach  general forms
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