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Linear and Multilinear Algebra Volume 60, 2012 - Issue 3
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Original Articles

Integral and limit representations of the outer inverse in Banach space

Xiaoji Liu College of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006, P.R. ChinaCorrespondence[email protected]
,
Yaoming Yu School of Mathematical Sciences, Monash University, VIC 3800, Australia
,
Jin Zhong College of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006, P.R. China
&
Yimin Wei Institute of Mathematics, School of Mathematical Science, Fudan University, Shanghai 200433, P.R. China; Education of Ministry, Shanghai 200433 P.R. China
Pages 333-347 | Received 01 Jan 2011, Accepted 14 Jun 2011, Published online: 25 Aug 2011

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Read on this site (5)

Dijana Mosić. (2022) Weighted G-Outer Inverse of Banach Spaces Operators. Numerical Functional Analysis and Optimization 43:5, pages 558-579.
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Predrag S. Stanimirović, Dijana Mosić & Haifeng Ma. (2022) New classes of more general weighted outer inverses. Linear and Multilinear Algebra 70:1, pages 122-147.
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Dijana Mosić & Predrag S. Stanimirović. (2021) Composite outer inverses for rectangular matrices. Quaestiones Mathematicae 44:1, pages 45-72.
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Enrico Boasso. (2019) Further results on the (b, c)-inverse, the outer inverse and the Moore–Penrose inverse in the Banach context. Linear and Multilinear Algebra 67:5, pages 1006-1030.
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Predrag S. Stanimirović, Dimitrios Pappas, Vasilios N. Katsikis & Marija S. Cvetković. (2015) Outer inverse restricted by a linear system. Linear and Multilinear Algebra 63:12, pages 2461-2493.
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Articles from other publishers (25)

D. Mosić, P. S. Stanimirović & L. A. Kazakovtsev. (2024) The $ m $-weak group inverse for rectangular matrices. Electronic Research Archive 32:3, pages 1822-1843.
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Vasilios N. Katsikis, Predrag S. Stanimirović, Spyridon D. Mourtas, Lin Xiao, Dragiša Stanujkić & Darjan Karabašević. (2023) Zeroing Neural Network Based on Neutrosophic Logic for Calculating Minimal-Norm Least-Squares Solutions to Time-Varying Linear Systems. Neural Processing Letters 55:7, pages 8731-8753.
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Dijana Mosić & Daochang Zhang. (2023) New Representations and Properties of the m-Weak Group Inverse. Results in Mathematics 78:3.
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Vasilios N. Katsikis, Predrag S. Stanimirovic, Spyridon D. Mourtas, Lin Xiao, Darjan Karabasevic & Dragisa Stanujkic. (2022) Zeroing Neural Network With Fuzzy Parameter for Computing Pseudoinverse of Arbitrary Matrix. IEEE Transactions on Fuzzy Systems 30:9, pages 3426-3435.
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Dijana Mosić & Predrag S. Stanimirović. (2022) Expressions and properties of weak core inverse. Applied Mathematics and Computation 415, pages 126704.
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Dijana Mosić. (2021) Outer-star and star-outer matrices. Journal of Applied Mathematics and Computing 68:1, pages 511-534.
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Dijana Mosić, Predrag S. Stanimirović & Vasilios N. Katsikis. (2021) Weighted composite outer inverses. Applied Mathematics and Computation 411, pages 126493.
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Dijana Mosić, Ivan I. Kyrchei & Predrag S. Stanimirović. (2021) Representations and properties for the MPCEP inverse. Journal of Applied Mathematics and Computing 67:1-2, pages 101-130.
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Dijana Mosić, Predrag S. Stanimirović & Haifeng Ma. (2021) Generalization of core-EP inverse for rectangular matrices. Journal of Mathematical Analysis and Applications 500:1, pages 125101.
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Dijana Mosić, Predrag S. Stanimirović, Jajati Keshari Sahoo, Ratikanta Behera & Vasilios N. Katsikis. (2021) One-sided weighted outer inverses of tensors. Journal of Computational and Applied Mathematics 388, pages 113293.
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Dijana Mosić & Predrag S. Stanimirović. (2021) Representations for the weak group inverse. Applied Mathematics and Computation 397, pages 125957.
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Predrag S. Stanimirović, Vasilios N. Katsikis & Dimitrios Gerontitis. (2020) A New Varying-Parameter Design Formula for Solving Time-Varying Problems. Neural Processing Letters 53:1, pages 107-129.
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Haifeng Ma, Xiaoshuang Gao & Predrag S. Stanimirović. (2020) Characterizations, iterative method, sign pattern and perturbation analysis for the DMP inverse with its applications. Applied Mathematics and Computation 378, pages 125196.
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Mengmeng Zhou, Jianlong Chen, Predrag S. Stanimirović, Vasilios N. Katsikis & Haifeng Ma. (2019) Complex Varying-Parameter Zhang Neural Networks for Computing Core and Core-EP Inverse. Neural Processing Letters 51:2, pages 1299-1329.
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Dijana Mosić. (2020) G-outer inverse of Banach spaces operators. Journal of Mathematical Analysis and Applications 481:2, pages 123501.
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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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Predrag S. Stanimirović, Vasilios N. Katsikis & Shuai Li. (2019) Integration enhanced and noise tolerant ZNN for computing various expressions involving outer inverses. Neurocomputing 329, pages 129-143.
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Xue-Zhong Wang, Predrag S. Stanimirović & Yimin Wei. (2018) Complex ZFs for computing time-varying complex outer inverses. Neurocomputing 275, pages 983-1001.
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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 317 338 .
Enrico Boasso & Gabriel Kantún-Montiel. (2017) The (b, c)-Inverse in Rings and in the Banach Context. Mediterranean Journal of Mathematics 14:3.
Crossref
Predrag S. Stanimirović, Ivan S. Živković & Yimin Wei. (2016) Neural network approach to computing outer inverses based on the full rank representation. Linear Algebra and its Applications 501, pages 344-362.
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Ivan S. Živković, Predrag S. Stanimirović & Yimin Wei. (2016) Recurrent Neural Network for Computing Outer Inverse. Neural Computation 28:5, pages 970-998.
Crossref
Predrag S. Stanimirović & F. Soleymani. (2014) A class of numerical algorithms for computing outer inverses. Journal of Computational and Applied Mathematics 263, pages 236-245.
Crossref
Yimin Wei. 2013. Handbook of Linear Algebra, Second Edition. Handbook of Linear Algebra, Second Edition 445 469 .

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