This method demands many operations and clearly includes more round-off errors. The fundamental partitioning method of Greville for calculating generalized inverses was discussed in. The terms “the minimum-norm least squares inverse,” “the Moore-Penrose inverse,” and “the pseudo-inverse” of a matrix are much more used than the term “Drazin inverse.” This unique inverse is globally used for solving linear systems and linear optimization problems. Kahan (1965) are just a couple of names who have contributed significantly in the area of generalized matrix inverse and its applications leaving very little scope for others to contribute in this area. But intense activities started since 1955.
Moore (1920) was a pioneer in the area of a generalized algebraic matrix inverse. Enormous amount of work in the topic of generalized inverses has been done during the past 63 years. Methods for calculating the generalized inverses are a topic of current investigation in computational mathematics (see, e.g., ). The theoretical discussions are upheld by several experiments showing the stability and convergence of the proposed method. The convergence is investigated analytically by applying a suitable initial matrix. The objective of this work is to propose a computationally effective iterative scheme for finding the Drazin inverse. Drazin inverse is one of the most significant inverses in the matrix theory, where its computation is an intensive and useful task.
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