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International Journal of Computer Mathematics Volume 87, 2010 - Issue 10
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Section B

A note of computation for M-P inverse A†

Xingping Sheng Department of Mathematics, Fuyang Normal College, Fuyang, Anhui, 236032, China; Department of Mathematics, East China Normal University, Shanghai, 200062, China
&
Guoliang Chen Department of Mathematics, East China Normal University, Shanghai, 200062, ChinaCorrespondence[email protected]
Pages 2235-2241 | Received 16 Oct 2007, Accepted 10 Nov 2008, Published online: 19 Nov 2009

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Xingping Sheng & Dawei Xin. (2022) Methods of Gauss–Jordan elimination to compute core inverse and dual core inverse . Linear and Multilinear Algebra 70:12, pages 2354-2366.
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Articles from other publishers (15)

Vukašin Stanojević, Lev Kazakovtsev, Predrag S. Stanimirović, Natalya Rezova & Guzel Shkaberina. (2022) Calculating the Moore–Penrose Generalized Inverse on Massively Parallel Systems. Algorithms 15:10, pages 348.
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Xuzhou Chen & Jun Ji. (2020) A divide-and-conquer approach for the computation of the Moore-Penrose inverses. Applied Mathematics and Computation 379, pages 125265.
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Xingping Sheng. (2020) Two closed novel formulas for the generalized inverse A T , S (2) of a complex matrix with given rank . Journal of Inverse and Ill-posed Problems 28:1, pages 33-42.
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Jie Ma, Feng Gao & Yongshu Li. (2019) An efficient method to compute different types of generalized inverses based on linear transformation. Applied Mathematics and Computation 349, pages 367-380.
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Falguni Roy, D. K. Gupta & Predrag S. Stanimirović. (2018) An interval extension of SMS method for computing weighted Moore–Penrose inverse. Calcolo 55:2.
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Xingping Sheng. (2018) Computation of weighted Moore–Penrose inverse through Gauss–Jordan elimination on bordered matrices. Applied Mathematics and Computation 323, pages 64-74.
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Jie Ma, Linlin Qi & Yongshu Li. (2017) The representations and computations of generalized inverses $$A^{(1)}_{T,S}$$ A T , S ( 1 ) , $$A^{(1,2)}_{T,S}$$ A T , S ( 1 , 2 ) and the group inverse. Calcolo 54:4, pages 1147-1168.
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Jie Ma & Yongshu Li. (2017) Gauss–Jordan elimination method for computing all types of generalized inverses related to the {1}-inverse. Journal of Computational and Applied Mathematics 321, pages 26-43.
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Jun Ji & Xuzhou Chen. (2014) A new method for computing Moore–Penrose inverse through Gauss–Jordan elimination. Applied Mathematics and Computation 245, pages 271-278.
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Jun Ji. (2014) Computing the outer and group inverses through elementary row operations. Computers & Mathematics with Applications 68:6, pages 655-663.
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Jun Ji. (2014) Two inverse-of-N-free methods for . Applied Mathematics and Computation 232, pages 39-48.
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Xingping Sheng. (2014) Execute Elementary Row and Column Operations on the Partitioned Matrix to Compute M-P Inverse . Abstract and Applied Analysis 2014, pages 1-6.
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Xingping Sheng & Guoliang Chen. (2013) Innovation based on Gaussian elimination to compute generalized inverse . Computers & Mathematics with Applications 65:11, pages 1823-1829.
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Predrag S. Stanimirović & Marko D. Petković. (2013) Gauss–Jordan elimination method for computing outer inverses. Applied Mathematics and Computation 219:9, pages 4667-4679.
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Jun Ji. (2012) Gauss–Jordan elimination methods for the Moore–Penrose inverse of a matrix. Linear Algebra and its Applications 437:7, pages 1835-1844.
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