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Linear and Multilinear Algebra Volume 40, 1995 - Issue 1
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Original Articles

Finite algorithms for the (2)-generalized inverse Footnote

Yong-Lin Chen Department of Mathematics, Nanjing Normal University, Nanjing, 210024, People's Republic of China
Pages 61-68 | Published online: 30 May 2007

Citations (22)

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Read on this site (2)

Yaoming Yu & Y. Wei. (2009) Determinantal representation of the generalized inverse \bi A_{T,S}^{(2)} over integral domains and its applications. Linear and Multilinear Algebra 57:6, pages 547-559.
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Yimin Wei & Hebing Wu. (2001) (T,S) splitting methods for computing the generalized inverse and rectangular systems . International Journal of Computer Mathematics 77:3, pages 401-424.
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Articles from other publishers (20)

Predrag S. Stanimirović, Vasilios N. Katsikis, Long Jin & Dijana Mosić. (2021) Properties and computation of continuous-time solutions to linear systems. Applied Mathematics and Computation 405, pages 126242.
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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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Guang-Jing Song, Qing-Wen Wang & Shao-Wen Yu. (2018) Cramer’s rule for a system of quaternion matrix equations with applications. Applied Mathematics and Computation 336, pages 490-499.
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Guorong Wang, Yimin Wei & Sanzheng QiaoGuorong Wang, Yimin Wei & Sanzheng Qiao. 2018. Generalized Inverses: Theory and Computations. Generalized Inverses: Theory and Computations 175 224 .
Guorong Wang, Yimin Wei & Sanzheng QiaoGuorong Wang, Yimin Wei & Sanzheng Qiao. 2018. Generalized Inverses: Theory and Computations. Generalized Inverses: Theory and Computations 91 151 .
Guang-Jing Song & Chang-Zhou Dong. (2015) New results on condensed Cramer’s rule for the general solution to some restricted quaternion matrix equations. Journal of Applied Mathematics and Computing 53:1-2, pages 321-341.
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Guang-Jing Song, Haixia Chang & Zhongcheng Wu. (2014) Cramer’s rules for various solutions to some restricted quaternionic linear systems. Journal of Applied Mathematics and Computing 48:1-2, pages 83-109.
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Guang-Jing Song. (2012) Bott-Duffin inverse over the quaternion skew field with applications. Journal of Applied Mathematics and Computing 41:1-2, pages 377-392.
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Guang-Jing Song. (2012) Determinantal representation of the generalized inverses over the quaternion skew field with applications. Applied Mathematics and Computation 219:2, pages 656-667.
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Guang-Jing Song & Qing-Wen Wang. (2011) Condensed Cramer rule for some restricted quaternion linear equations. Applied Mathematics and Computation 218:7, pages 3110-3121.
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Guang-Jing Song, Qing-Wen Wang & Hai-Xia Chang. (2011) Cramer rule for the unique solution of restricted matrix equations over the quaternion skew field. Computers & Mathematics with Applications 61:6, pages 1576-1589.
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Yaoming Yu & Guorong Wang. (2009) DFT calculation for the {2}-inverse of a polynomial matrix with prescribed image and kernel. Applied Mathematics and Computation 215:7, pages 2741-2749.
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Yaoming Yu. (2008) PCR algorithm for parallel computing the solution of the general restricted linear equations. Journal of Applied Mathematics and Computing 27:1-2, pages 125-136.
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Bing Zheng & Guorongg Wang. (2006) Representation and approximation for generalized inverseA T,S (2) : Revisited. Journal of Applied Mathematics and Computing 22:3, pages 225-240.
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Yimin Wei & Naimin Zhang. (2004) A note on the representation and approximation of the outer inverse AT,S(2) of a matrix A. Applied Mathematics and Computation 147:3, pages 837-841.
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Yimin Wei & Hebing Wu. (2003) The representation and approximation for the generalized inverse AT,S(2). Applied Mathematics and Computation 135:2-3, pages 263-276.
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Yong-Lin Chen. (2001) Representation and approximation for the Drazin inverse A(d). Applied Mathematics and Computation 119:2-3, pages 147-160.
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Chen Yonglin. (2001) Operator and matrix representation for the generalized inverse $$A_{T,S}^{(2)} $$. Acta Mathematicae Applicatae Sinica 17:1, pages 114-120.
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Yong-Lin Chen & Xin Chen. (2000) Representation and approximation of the outer inverse AT,S(2) of a matrix A. Linear Algebra and its Applications 308:1-3, pages 85-107.
Crossref
Predrag S. Stanimirović. (1999) Limit representations of generalized inverses and related methods. Applied Mathematics and Computation 103:1, pages 51-68.
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