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Neural Comput. 2014 Feb;26(2):449-65. doi: 10.1162/NECO_a_00549. Epub 2013 Nov 8.

A novel iterative method for computing generalized inverse.

Author information

1
College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China ysxia2001@yahoo.com.

Abstract

In this letter, we propose a novel iterative method for computing generalized inverse, based on a novel KKT formulation. The proposed iterative algorithm requires making four matrix and vector multiplications at each iteration and thus has low computational complexity. The proposed method is proved to be globally convergent without any condition. Furthermore, for fast computing generalized inverse, we present an acceleration scheme based on the proposed iterative method. The global convergence of the proposed acceleration algorithm is also proved. Finally, the effectiveness of the proposed iterative algorithm is evaluated numerically.

PMID:
24206382
DOI:
10.1162/NECO_a_00549
[Indexed for MEDLINE]
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