Abstract:In this paper, we introduce a new efficient iterative method to find the Moore-Penrose inverse of a singular or rectangular real (or complex) matrix, which has five matrix-matrix multiplications per iteration. It is proved that the proposed method is fourth-order convergent to the Moore-Penrose inverse. Numerical results are obtained using random matrices of sizes n × n and n × (n + 10), n = 100, 200, 300, 400. The average number of iterations, the average total number of matrix-matrix multiplications, the ave… Show more
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