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Linear and Multilinear Algebra Volume 70, 2022 - Issue 20
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Research Article

Explicit solutions of non-homogeneous difference equations from finite potent endomorphisms

Fernando Pablos RomoDepartamento de Matemáticas and Instituto Universitario de Física Fundamental y Matemáticas, Universidad de Salamanca, Salamanca, EspañaCorrespondence[email protected]
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Pages 5346-5361 | Received 16 Nov 2020, Accepted 07 Apr 2021, Published online: 13 Apr 2021

References

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  • Campbell SL, Meyer CD Jr. Generalized inverses of linear transformations. Dover; 1991.
  • Campbell SL, Meyer CD Jr., Rose NJ. Applications of the Drazin inverse to linear systems of differential equations with singular constant coefficients. SIAM J Appl Math. 1976;31(3):411–425.
  • Pablos Romo F. On the Drazin inverse of finite potent endomorphisms. Linear Multilinear Algebra. 2019;67(10):2135–2146.
  • Argerami M, Szechtman F, Tifenbach R. On Tate's trace. Linear Multilinear Algebra. 2007;55(6):515–520.
  • Tate J. Residues of differentials on curves. Ann Sci École Norm Sup (4). 1968;1:149–159.
  • Pablos Romo F. Core-Nilpotent decomposition and new generalized inverses of finite potent endomorphisms. Linear Multilinear Algebra. 2020;68(11):2254–2275.
  • Mitra SK. Matrix partial orders, shorted operators and applications. World Scientific Publishing Company; 2010. (Series in Algebra;10). 10.1142/7170.

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