Recursive Formulas for the Generalized LM-Inverse of a Matrix
نویسنده
چکیده
In this paper, we present recursive formulas for the sequential determination of the generalized LM-inverse of a general matrix. The formulas are developed for a matrix augmented by a column. These formulas are particularized to obtain also recursive relations for the generalized L-inverse of a general matrix augmented by a column.
منابع مشابه
Generalized LM-inverse of a matrix augmented by a column vector
This paper presents a direct proof of the recursive formulae for the generalized LMinverse of a matrix augmented by a column vector. The recursive relations are proved by direct verification of the four conditions of the generalized LM-inverse. Several auxiliary results pertaining to generalized inverses are also provided. 2006 Elsevier Inc. All rights reserved.
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تاریخ انتشار 2006