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From projectors to 1MP and MP1 generalized inverses and their induced partial orders

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From projectors to 1MP and MP1 generalized inverses and their induced partial orders

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Hernández, MV.; Lattanzi, MB.; Thome, N. (2021). From projectors to 1MP and MP1 generalized inverses and their induced partial orders. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 115(3):1-13. https://doi.org/10.1007/s13398-021-01090-8

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Título: From projectors to 1MP and MP1 generalized inverses and their induced partial orders
Autor: Hernández, M. V. Lattanzi, M. B. Thome, Néstor
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
[EN] This paper deals with new generalized inverses of rectangular complex matrices, namely 1MP and MP1-inverses. They are constructed from oblique projectors represented by means of inner generalized inverses, by using ...[+]
Palabras clave: Generalized inverses , Moore-Penrose inverse , Matrix equations , Partial order , Equivalence classes
Derechos de uso: Reserva de todos los derechos
Fuente:
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. (issn: 1578-7303 )
DOI: 10.1007/s13398-021-01090-8
Editorial:
Springer-Verlag
Versión del editor: https://doi.org/10.1007/s13398-021-01090-8
Código del Proyecto:
info:eu-repo/grantAgreement/Universidad Nacional del Sur - Argentina//24%2FL108//VARIEDADES Y CUASIVARIEDADES EN ÁLGEBRA DE LA LÓGICA/
info:eu-repo/grantAgreement/Universidad Nacional de La Pampa//Resol. N.° 135%2F19 del CD de la Fac. de Ing.//Matrices Inversas Generalizadas y Órdenes Parciales/
info:eu-repo/grantAgreement/Universidad Nacional de Río Cuarto//Res. 083%2F2020//Aproximación de Funciones e Inversas Generalizadas/
info:eu-repo/grantAgreement/AEI//MTM2017-90682-REDT//RED TEMATICA DE ALGEBRA LINEAL, ANALISIS MATRICIAL Y APLICACIONES/
Agradecimientos:
M. V. Hernández and M. B. Lattanzi: Partially supported by Universidad Nacional de La Pampa, Facultad de Ingeniería (Grant Resol. Nro. 135/19). N. Thome: Partially supported by Universidad Nacional de La Pampa, Facultad ...[+]
Tipo: Artículo

References

Baksalary, O.M., Styan, G.P.H., Trenkler, G.: On a matrix decomposition of Hartwig and Spindelböck. Linear Algebra Appl. 430, 2798–2812 (2009)

Baksalary, O.M., Trenkler, G.: Core inverse of matrices. Linear Multilinear Algebra 58(6), 681–697 (2010)

Ben-Israel, A., Greville, T.N.E.: Generalized inverses: theory and applications, 2nd edn. Springer-Verlag, New York (2003) [+]
Baksalary, O.M., Styan, G.P.H., Trenkler, G.: On a matrix decomposition of Hartwig and Spindelböck. Linear Algebra Appl. 430, 2798–2812 (2009)

Baksalary, O.M., Trenkler, G.: Core inverse of matrices. Linear Multilinear Algebra 58(6), 681–697 (2010)

Ben-Israel, A., Greville, T.N.E.: Generalized inverses: theory and applications, 2nd edn. Springer-Verlag, New York (2003)

Campbell, S.L., Meyer, C.D.: Generalized inverses of linear transformation. SIAM, Philadelphia (2009)

Campbell, S.L., Meyer, C.D.: Weak Drazin inverses. Linear Algebra Appl. 20, 167–178 (1978)

Chen, J.L., Zhu, H.H., Patrício, P., Zhang, Y.L.: Characterizations and representations of core and dual core inverses. Can. Math. Bull. 60(2), 269–282 (2017)

Coll, C., Lattanzi, M., Thome, N.: Weighted G-Drazin inverses and a new pre-order on rectangular matrices. Appl. Math. Comput. 317, 12–24 (2018)

Cvetković-Ilić, D.S., Mosić, D., Wei, Y.: Partial orders on $$B(H)$$. Linear Algebra Appl. 481, 115–130 (2015)

Djikić, M.S.: Lattice properties of the core-partial order. Banach J. Math. Anal. 11(2), 398–415 (2017)

Ferreyra, D.E., Levis, F.E., Thome, N.: Maximal classes of matrices determining generalized inverses. Appl. Math. Comput. 333, 42–52 (2018)

Ferreyra, D.E., Levis, F.E., Thome, N.: Characterizations of k-commutative equalities for some outer generalized inverses. Linear Multilinear Algebra 68(1), 177–192 (2020)

Ferreyra, D.E., Lattanzi, M., Levis, F.E., Thome, N.: Parametrized solutions $$X$$ of the system $$AXA=AEA$$ and $$A^kEAX= XAEA^k$$ for a matrix $$A$$ having index $$k$$. Electron. J. Linear Algebra 35, 503–510 (2019)

Hartwig, R.E., Spindleböck, K.: Matrices for which $$A^*$$ and $$A^{\dagger }$$ commute. Linear Multilinear Algebra 14, 241–256 (1984)

Kyrchei, I.: Determinantal representations of the $$W$$-weighted Drazin inverse over the quaternion skew field. Appl. Math. Comput. 264, 453–465 (2015)

Liu, X., Cai, N.: High-order iterative methods for the DMP inverse. J. Math. (2018). https://doi.org/10.1155/2018/8175935. (Article ID 8175935)

Malik, S.B., Thome, N.: On a new generalized inverse for matrices of an arbitrary index. Appl. Math. Comput. 226, 575–580 (2014)

Mehdipour, M., Salemi, A.: On a new generalized inverse of matrices. Linear Multilinear Algebra 66(5), 1046–1053 (2018)

Manjunatha Prasad, K., Mohana, K.S.: Core EP inverse. Linear Multilinear Algebra 62(6), 792–802 (2014)

Mitra, S.K., Bhimasankaram, P., Malik, S.: Matrix partial orders, shorted operators and applications. World Scientific Publishing Company, New Jersey (2010)

Mosić, D., Kolundzija, M.Z.: Weighted CMP inverse of an operator between Hilbert spaces. Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Math. 113, 2155–2173 (2019)

Rakić, D.S., Dinčić, N.C., Djordjević, D.S.: Group, Moore-Penrose, core and dual core inverse in rings with involution. Linear Algebra Appl. 463, 115–133 (2014)

Rao, C.R., Mitra, S.K.: Generalized inverse of matrices and its applications. John Wiley & Sons Inc., New York (1971)

Soleimani, F., Stanimirović, P.S., Soleymani, F.: Some matrix iterations for computing generalized inverses and balancing chemical equations. Algorithms 8(4), 982–998 (2015)

Wang, H., Liu, X.: Characterizations of the core inverse and the partial ordering. Linear Multilinear Algebra 63(9), 1829–1836 (2015)

Wang, X., Liu, X.: Partial orders based on core-nilpotent decomposition. Linear Algebra Appl. 488, 235–248 (2016)

Zhu, H.H., Patrício, P.: Several types of one-sided partial orders in rings. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM. (2019). https://doi.org/10.1007/s13398-019-00685-6

Zhu, H.: On DMP inverses and $$m$$-EP elements in rings. Linear Multilinear Algebra 67(4), 1–11 (2018)

Zhou, M., Chen, J., Stanimirovic, P.S., Katsikis, V.N., Ma, H.: Complex varying-parameter Zhang neural networks for computing core and core-EP inverse. Neural Process. Lett. 51(2), 1299–1329 (2020)

Zuo, K., Cvetković-Ilić, D., Cheng, Y.: Different characterizations of DMP-inverse of matrices. To appear in Linear and Multilinear Algebra

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