The computation and application of the generalized inverse via Maple
Journal of Symbolic Computation
The Mathematica book (4th edition)
The Mathematica book (4th edition)
Successive matrix squaring algorithm for computing the Drazin inverse
Applied Mathematics and Computation
A finite algorithm for the Drazin inverse of a polynomial matrix
Applied Mathematics and Computation
Straight monotonic embedding of data sets in Euclidean spaces
Neural Networks
Generalized matrix inversion is not harder than matrix multiplication
Journal of Computational and Applied Mathematics
A novel iterative method for computing generalized inverse
Neural Computation
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An algorithm for computing {2, 3}, {2, 4}, {1, 2, 3}, {1, 2, 4} -inverses and the Moore-Penrose inverse of a given rational matrix A is established. Classes A{2, 3}s and A{2, 4}s are characterized in terms of matrix products (R*A)†R* and T*(AT*)†, where R and T are rational matrices with appropriate dimensions and corresponding rank. The proposed algorithm is based on these general representations and the Cholesky factorization of symmetric positive matrices. The algorithm is implemented in programming languages MATHEMATICA and DELPHI, and illustrated via examples. Numerical results of the algorithm, corres-ponding to the Moore-Penrose inverse, are compared with corresponding results obtained by several known methods for computing the Moore-Penrose inverse.