Image Reconstruction Methods for MATLAB Users - A Moore-Penrose Inverse Approach

In the last decades the Moore-Penrose pseudoinverse has found a wide range of applications in many areas of Science and became a useful tool for different scientists dealing with optimization problems, data analysis, solutions of linear integral equations, etc. At first we will present a review of some of the basic results on the so-called Moore-Penrose pseudoinverse of matrices, a concept that generalizes the usual notion of inverse of a square matrix, but that is also applicable to singular square matrices or even to non-square matrices.

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