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An Iterative Method for Computation of Generalized Inverse and Matrix Rank

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1 Author(s)
Gupta, Naresh N. ; Dept. of Eng., Wright State University, Dayton, Ohio 45431

A method for computing the generalized inverse A+ and the associated projections AA+ and A+A for any matrix A is developed It is also shown that the trace of a sequence of approximations to AA+ (or A+A) converges to the rank of A. Finally, examples are given showing the computation of the generalized inverse and rank.

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Systems, Man and Cybernetics, IEEE Transactions on  (Volume:SMC-1 ,  Issue: 1 )