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S. R. Vat-sya and C. C. Tai, “Inverse of a Perturbed Matrix,” International Journal of Computer Mathematics, Vol. 23, No. 2, 1988, pp. 177-184. doi:10.1080/00207168808803616

has been cited by the following article:

• TITLE: Computing the Moore-Penrose Inverse of a Matrix Through Symmetric Rank-One Updates

  AUTHORS: Xuzhou Chen, Jun Ji

  KEYWORDS: Finite Recursive Algorithm, Moore-Penrose Inverse, Symmetric Rank-One Update

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.1 No.3, September 19, 2011

  ABSTRACT: This paper presents a recursive procedure to compute the Moore-Penrose inverse of a matrix A. The method is based on the expression for the Moore-Penrose inverse of rank-one modified matrix. The computational complexity of the method is analyzed and a numerical example is included. A variant of the algorithm with lower computational complexity is also proposed. Both algorithms are tested on randomly generated matrices. Numerical performance confirms our theoretic results.