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A High-Order Iterate Method for Computing

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  • Xiaoji Liu
  • Zemeng Zuo

Abstract

We investigate a new higher order iterative method for computing the generalized inverse for a given matrix . We also discuss how the new method could be applied for finding approximate inverses of nonsingular square matrices. Analysis of convergence is included to show that the proposed scheme has at least fifteenth-order convergence. Some tests are also presented to show the superiority of the new method.

Suggested Citation

  • Xiaoji Liu & Zemeng Zuo, 2014. "A High-Order Iterate Method for Computing," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-7, May.
    • Handle: RePEc:hin:jnljam:741368
    DOI: 10.1155/2014/741368
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