Title :
An Iterative Method for Computation of Generalized Inverse and Matrix Rank
Author :
Gupta, Naresh N.
Author_Institution :
Dept. of Eng., Wright State University, Dayton, Ohio 45431
Abstract :
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.
Keywords :
Arithmetic; Convergence; Eigenvalues and eigenfunctions; Gaussian processes; Iterative methods;
Journal_Title :
Systems, Man and Cybernetics, IEEE Transactions on
DOI :
10.1109/TSMC.1971.5408613
