Moore-Penrose Pseudoinverse

Definition: Moore-Penrose Pseudoinverse, or simply the Moore-Penrose inverse, is a mathematical operation that produces an inverse of a matrix that may not have a conventional inverse. For a square matrix A, the inverse A^{-1} exists if and only if the determinant of A is non-zero. However, many matrices encountered in practice are not invertible. The pseudoinverse is a generalization of the inverse that can be used for any matrix, regardless of its invertibility (not a square or a full rank matrix).In image reconstruction, to recover the optical properties of the voxels, the computation of the Moore-Penrose Pseudoinverse A^+ is required.It should be noted that Moore-Penrose’s is not the only pseudo inverse.

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Related terms: Image reconstruction  

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