INFORMAZIONI SU QUESTO ARTICOLO

Cita

A. Ben-Israel, A Cramer rule for least-norm solutions of consistent linear equations, Linear Algebra Appl. 43 (1982), 223–226. Search in Google Scholar

A. Ben-Israel, T.N.E. Grevile, Generalized inverses, theory and applications, Second edition, Canadian Mathematical Society, Springer, New York, Beflin, Heidelberg, Hong Kong, London, Milan, Paris, Tokyo, 2003. Search in Google Scholar

R. Behera, G. Maharana, J.K. Sahoo, Further results on weighted core-EP inverse of matrices, Results Math 75, 174 (2020), https://doi.org/10.1007/s00025-020-01296-z. Search in Google Scholar

C.Y. Deng, H.K. Du, Representations of the Moore-Penrose inverse of 2 × 2 block operator valued matrices, J. Korean Math. Soc. 46(6) (2009), 1139–1150. Search in Google Scholar

G. Dolinar, B. Kuzma, J. Marovt, B. Ungor, Properties of core-EP order in rings with involution, Front. Math. China 14 (2019), 715–736. Search in Google Scholar

D.E. Ferreyra, F.E. Levis, A.N. Priori, N. Thome, The weak core inverse, Aequat. Math. 95 (2021), 351–373. Search in Google Scholar

D.E. Ferreyra, F.E. Levis, N. Thome, Revisiting the core EP inverse and its extension to rectangular matrices, Quaest. Math. 41(2) (2018), 265–281. Search in Google Scholar

D.E. Ferreyra, V. Orquera, N. Thome, A weak group inverse for rectangular matrices, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 113 (2019), 3727–3740. Search in Google Scholar

Z. Fu, K. Zuo, Y. Chen, Further characterizations of the weak core inverse of matrices and the weak core matrix, AIMS Mathematics, 7(3) (2021), 3630–3647. Search in Google Scholar

Y. Gao, J. Chen, Pseudo core inverses in rings with involution, Comm. Algebra 46(1) (2018), 38–50. Search in Google Scholar

Y. Gao, J. Li, Perturbation bounds of core inverse under the Frobenius norm, Bull. Malays. Math. Sci. Soc. 45 (2022), 2361–2371. Search in Google Scholar

C.W. Groetsch, Generalized inverses of linear operators: representation and approximation, in: Monographs and Textbooks in Pure and Applied Mathematics, Vol. 37, Marcel Dekker, Inc., New York, Basel, 1977. Search in Google Scholar

Y. Ke, L. Wang, J. Chen, The core inverse of a product and 2×2 matrice, Bull. Malays. Math. Sci. Soc. 42 (2019), 51–66. Search in Google Scholar

I.I. Kyrchei, Determinantal representations of the core inverse and its generalizations with applications, Journal of Mathematics 2019 (2019), Article ID 1631979, 13 pages. Search in Google Scholar

I.I. Kyrchei, Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM (2020), 114:198, https://doi.org/10.1007/s13398-020-00930-3. Search in Google Scholar

I.I. Kyrchei, D. Mosić, P.S. Stanimirović, Weighted minimization problems for quaternion matrices, Adv. Appl. Clifford Algebras 31, 48 (2021), https://doi.org/10.1007/s00006-021-01153-4. Search in Google Scholar

N. Liu, H. Wang, The characterizations of WG matrix and its generalized CayleyHamilton theorem, Journal of Mathematics 2021 (2021), Article ID 4952943, 10 pages, https://doi.org/10.1155/2021/4952943. Search in Google Scholar

X. Liu, Y. Yu, J. Zhong, Y. Wei, Integral and limit representations of the outer inverse in Banach space, Linear Multilinear Algebra 60 (2012), 333–347. Search in Google Scholar

H. Ma, P.S. Stanimirović, Characterizations, approximation and perturbations of the core-EP inverse, Appl. Math. Comput. 359 (2019), 404–417. Search in Google Scholar

G. Maess, Projection methods solving rectangular systems of linear equations, J. Comput. Appl. Math. 24 (1988), 107–119. Search in Google Scholar

D. Mosić, Maximal classes of operators determining some weighted generalized inverses, Linear Multilinear Algebra 68(11) (2020), 2201–2220. Search in Google Scholar

D. Mosić, Perturbation of the weighted core-EP inverse, Ann. Funct. Anal. 11 (2020), 75–86. Search in Google Scholar

D. Mosić, Weighted core–EP inverse of an operator between Hilbert spaces, Linear Multilinear Algebra 67(2) (2019), 278–298. Search in Google Scholar

D. Mosić, Weighted core-EP inverse and weighted core-EP pre-orders in a C*-algebra, J. Aust. Math. Soc. 111(1) (2021), 76–110. Search in Google Scholar

D. Mosić, J. Marovt, Weighted weak core inverse of operators, Linear Multilinear Algebra 70(20) (2022), 4991–5013. Search in Google Scholar

D. Mosić, P.S. Stanimirović, Expressions and properties of weak core inverse, Appl. Math. Comput. 415 (2022), 126704. Search in Google Scholar

D. Mosić, P.S. Stanimirović, Representations for the weak group inverse, Appl. Math. Comput. 397 (2021), 125957. Search in Google Scholar

D. Mosić, D. Zhang, Weighted weak group inverse for Hilbert space operators, Front. Math. China 15 (2020), 709–726. Search in Google Scholar

K.M. Prasad, K.S. Mohana, Core-EP inverse, Linear Multilinear Algebra 62(6) (2014), 792–802. Search in Google Scholar

S.M. Robinson, A short proof of Cramer’s rule, Math. Mug. 43 (1970), 94–95. Search in Google Scholar

J.K. Sahoo, R. Behera, P.S. Stanimirović, V.N. Katsikis, H. Ma, Core and core-EP inverses of tensors, Comput. Appl. Math. 39, 9 (2020), doi:10.1007/s40314-019-0983-5. Search in Google Scholar

P.S. Stanimirović, Limit representations of generalized inverses and related methods, Appl. Math. Comput. 103 (1999), 51–68. Search in Google Scholar

K.S. Stojanović, D. Mosić, Weighted MPCEP inverse of an operator between Hilbert spaces, Bull. Iran. Math. Soc. 48 (2022), 53–71. Search in Google Scholar

C. Wang, X. Liu, H. Jin, The MP weak group inverse and its application, Filomat 36(18) (2022), 6085–6102. Search in Google Scholar

H. Wang, Core-EP decomposition and its applications, Linear Algebra Appl. 508 (2016), 289–300. Search in Google Scholar

H. Wang, J. Chen, Weak group inverse, Open Mathematics 16 (2018), 1218–1232. Search in Google Scholar

H. Wang, X. Liu, The weak group matrix, Aequat. Math. 93 (2019), 1261–1273. Search in Google Scholar

Y. Wei, D.S. Djordjević, On integral representation of the generalized inverse AT,S(2) A_{T,S}^{\left( 2 \right)} , Appl. Math. Comput. 142 (2003), 189–194. Search in Google Scholar

H. Yan, H. Wang, K. Zuo, Y. Chen, Further characterizations of the weak group inverse of matrices and the weak group matrix, AIMS Mathematics, 6(9) (2021), 9322–9341. Search in Google Scholar

M. Zhou, J. Chen, Y. Zhou, Weak group inverses in proper *-rings, J. Algebra Appl. 19(12) (2020), 2050238. Search in Google Scholar

M. Zhou, J. Chen, Y. Zhou, N. Thome, Weak group inverses and partial isometries in proper *-rings, Linear Multilinear Algebra (2021), https://doi.org/10.1080/03081087.2021.1884639. Search in Google Scholar

Y. Zhou, J. Chen, Weak core inverses and pseudo core inverses in a ring with involution, Linear Multilinear Algebra (2021), https://doi.org/10.1080/03081087.2021.1971151. Search in Google Scholar

H. Zhu, Q.W. Wang, Weighted pseudo core inverses in rings, Linear Multilinear Algebra 68 (2020), 2434–2447. Search in Google Scholar

eISSN:
1844-0835
Lingua:
Inglese
Frequenza di pubblicazione:
Volume Open
Argomenti della rivista:
Mathematics, General Mathematics