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Linear and Multilinear Algebra Volume 68, 2020 - Issue 11
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Articles

Core-Nilpotent decomposition and new generalized inverses of finite potent endomorphisms

Fernando Pablos RomoDepartamento de Matematicas, Universidad de Salamanca, Salamanca, SpainCorrespondence[email protected]
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Pages 2254-2275 | Received 10 Oct 2018, Accepted 17 Jan 2019, Published online: 17 Feb 2019

Citations (13)

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Read on this site (5)

Fernando Pablos Romo & Diego Alba Alonso. (2023) On the explicit computation of the set of 1-inverses of a square matrix. Linear and Multilinear Algebra 71:18, pages 2869-2876.
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Yang Chen, Kezheng Zuo, Qingwen Wang & Zhimei Fu. (2023) Further characterizations of the CMP inverse of matrices. Linear and Multilinear Algebra 71:1, pages 100-119.
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Fernando Pablos Romo. (2022) Explicit solutions of non-homogeneous difference equations from finite potent endomorphisms. Linear and Multilinear Algebra 70:20, pages 5346-5361.
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Fernando Pablos Romo. (2022) On G-Drazin inverses of finite potent endomorphisms and arbitrary square matrices. Linear and Multilinear Algebra 70:12, pages 2227-2247.
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Fernando Pablos Romo. (2021) On Drazin-Moore-Penrose inverses of finite potent endomorphisms. Linear and Multilinear Algebra 69:4, pages 627-647.
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Articles from other publishers (8)

Diego Alba Alonso. (2024) On some pre-orders and partial orders of linear operators on infinite dimensional vector spaces. Rendiconti del Circolo Matematico di Palermo Series 2.
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Yinlan Chen, Jiale Gao & Kezheng Zuo. (2023) Two New Matrix Classes Related to the CMP Inverse: CMP and Co-CMP Matrices. Mathematics 11:17, pages 3692.
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Diego AlonsoAlbaAlba. (2023) Sharp partial order of core-nilpotent endomorphisms. Filomat 37:10, pages 3167-3181.
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Fernando Pablos Romo. (2020) On the coincidence of the Drazin inverse and the Drazin-Moore-Penrose inverses. Linear and Multilinear Algebra 70:19, pages 3617-3632.
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Fernando Pablos Romo. (2021) Drazin-Star and Star-Drazin Inverses of Bounded Finite Potent Operators on Hilbert Spaces. Results in Mathematics 77:1.
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Fernando Pablos Romo. (2022) Generalized inverses of bounded finite potent operators on Hilbert spaces. Filomat 36:18, pages 6139-6158.
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Fernando Pablos Romo. (2021) On Bounded Finite Potent Operators on Arbitrary Hilbert Spaces. Bulletin of the Malaysian Mathematical Sciences Society 44:6, pages 4085-4107.
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Fernando Pablos Romo. (2021) Core-Nilpotent Endomorphisms of Infinite-Dimensional Vector Spaces. Mediterranean Journal of Mathematics 18:3.
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