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A Hyperpower Iterative Method for Computing Matrix Products Involving the Generalized Inverse

Published: 01 March 1971 Publication History

Abstract

Apth order iterative method for computing $A^\dag B$ is studied, where $p \geqq 2$, A and B are arbitrary complex matrices with equal number of rows and $A^\dag $ is the Moore–Penrose generalized inverse of A. The rate of convergence and the computational effort in the pth order method are studied, and the optimum p is given in terms of the numbers of columns of A and B.

References

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        cover image SIAM Journal on Numerical Analysis
        SIAM Journal on Numerical Analysis  Volume 8, Issue 1
        Mar 1971
        177 pages
        ISSN:0036-1429
        DOI:10.1137/sjnaam.1971.8.issue-1
        Issue’s Table of Contents

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        Society for Industrial and Applied Mathematics

        United States

        Publication History

        Published: 01 March 1971

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