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Symbolic computation of the Moore–Penrose inverse using a partitioning method

Pages 355-367 | Received 26 Jan 2004, Accepted 20 Sep 2004, Published online: 25 Jan 2007

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Predrag S. Stanimirović, Miroslav Ćirić, Alberto Lastra, J. Rafael Sendra & Juana Sendra. (2022) Representations and geometrical properties of generalized inverses over fields. Linear and Multilinear Algebra 70:22, pages 7318-7338.
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Milan B. Tasić, Predrag S. Stanimirović & Selver H. Pepić. (2011) Computation of generalized inverses using PHP/MySQL environment. International Journal of Computer Mathematics 88:11, pages 2429-2446.
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Predrag S. Stanimirović & Milan B. Tasić. (2008) Computing generalized inverses using LU factorization of matrix product. International Journal of Computer Mathematics 85:12, pages 1865-1878.
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Articles from other publishers (15)

Ioannis S Kafetzis & Nicholas P Karampetakis. (2022) On the algebraic structure of the Moore–Penrose inverse of a polynomial matrix. IMA Journal of Mathematical Control and Information 39:2, pages 443-459.
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Predrag S. Stanimirović, Miroslav Ćirić, Alberto Lastra, Juan Rafael Sendra & Juana Sendra. (2021) Representations and symbolic computation of generalized inverses over fields. Applied Mathematics and Computation 406, pages 126287.
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Nahier Aldhafeeri, Dimitrios Pappas, Ivan P. Stanimirović & Milan Tasić. (2020) Representations of generalized inverses via full-rank QDR decomposition. Numerical Algorithms 86:3, pages 1327-1337.
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Predrag S. Stanimirović, Yimin Wei, Dejan Kolundžija, Juan Rafael Sendra & Juana Sendra. 2019. Algebraic Informatics. Algebraic Informatics 225 236 .
Yunong Zhang, Guangyuan Shi, Jian Li, Guofu Wu & Zhiyuan Qi. (2018) Zhang Matrix Found as an Exception with its Time-Dependent Pseudoinverse Unsolvable by Getz-Masden Dynamic System. Zhang Matrix Found as an Exception with its Time-Dependent Pseudoinverse Unsolvable by Getz-Masden Dynamic System.
J. Rafael Sendra & Juana Sendra. (2017) Computation of Moore–Penrose generalized inverses of matrices with meromorphic function entries. Applied Mathematics and Computation 313, pages 355-366.
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P.N. Shivakumar, K C Sivakumar & Yang ZhangP. N. Shivakumar, K. C. Sivakumar & Yang Zhang. 2016. Infinite Matrices and Their Recent Applications. Infinite Matrices and Their Recent Applications 49 72 .
Long Jin & Yunong Zhang. (2014) Discrete-time Zhang neural network of O(τ3) pattern for time-varying matrix pseudoinversion with application to manipulator motion generation. Neurocomputing 142, pages 165-173.
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Predrag S. Stanimirović, Dimitrios Pappas, Vasilios N. Katsikis & Ivan P. Stanimirović. (2012) Symbolic computation of -inverses using QDR factorization . Linear Algebra and its Applications 437:6, pages 1317-1331.
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Marko D. Petković, Milan B. Tasić & Predrag S. Stanimirović. (2011) Effective partitioning method for computing generalized inverses and their gradients. Applied Mathematics and Computation 217:19, pages 7588-7598.
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Milan B. Tasić & Predrag S. Stanimirović. (2010) Differentiation of generalized inverses for rational and polynomial matrices. Applied Mathematics and Computation 216:7, pages 2092-2106.
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Milan B. Tasić, Predrag S. Stanimirović & Selver H. Pepić. (2010) About the generalized LM-inverse and the weighted Moore–Penrose inverse. Applied Mathematics and Computation 216:1, pages 114-124.
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Milan B. Tasić & Predrag S. Stanimirović. (2008) Symbolic and recursive computation of different types of generalized inverses. Applied Mathematics and Computation 199:1, pages 349-367.
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Marko D. Petković, Predrag S. Stanimirović & Milan B. Tasić. (2008) Effective partitioning method for computing weighted Moore–Penrose inverse. Computers & Mathematics with Applications 55:8, pages 1720-1734.
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Milan B. Tasić, Predrag S. Stanimirović & Marko D. Petković. (2007) Symbolic computation of weighted Moore–Penrose inverse using partitioning method. Applied Mathematics and Computation 189:1, pages 615-640.
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