Innovation based on Gaussian elimination to compute generalized inverse AT,S(2) |
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Authors: | Xingping Sheng Guoliang Chen |
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Affiliation: | 1. School of Mathematics and Computational Science in Fuyang Normal College, Fuyang Anhui, PR China;2. Mathematics Department of East China Normal University, Shanghai, PR China |
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Abstract: | In this paper, we execute elementary row and column operations on the partitioned matrix into to compute generalized inverse of a given complex matrix , where is a matrix such that and . The total number of multiplications and divisions operations is and the upper bound of is less than when . A numerical example is shown to illustrate that this method is correct. |
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Keywords: | Gaussian elimination Elementary row (column) operations Multiplications and divisions operations |
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