Gauss–Jordan Elimination Methods for the Moore–Penrose Inverse of a Matrix
Department
Mathematics
Document Type
Article
Publication Date
10-1-2012
Abstract
We present an alternative explicit expression for the Moore–Penrose inverse of a matrix. Based on this expression, we propose a Gauss–Jordan elimination method for the computation of . Its computational complexity indicates that this method is more efficient than the existing Gauss–Jordan elimination method in the literature for a large class of problems. An example is included to illustrate the new method.
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