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References
Anderson A (2011). Some closed range integral operators on spaces of Analytic Function. Integral Equations Operator Theory 69(1):87-99. |
|
Baksalary OM, Trenkler G (2010). Core inverse of matrices. Linear Multilinear Algebra 58(6):681-697. |
|
Brock KG (1990). A note on commutativity of a linear operator and its Moore-Penrose inverse. Numerical Functional Analysis and Optimization 11(7-8):673-678. |
|
Campbell SL, Meyer CD (1991). Generalized inverses of linear transformations. Society for Industrial and Applied Mathematics. |
|
Chen G, Wei Y, Xue Y (1996). Perturbation analysis of the least squares solution in Hilbert spaces. Linear algebra and its applications 244:69-80. |
|
Chen G, Xue Y (1997). Perturbation analysis for the operator equationTx= bin Banach spaces. Journal of Mathematical Analysis and Applications 212(1):107-125. |
|
Deng C, Wei Y (2010). Perturbation analysis of the Moore-Penrose inverse for a class of bounded operators in Hilbert Spaces. Journal of Korean Mathematical Society 47(4):831-843. |
|
Ding J (2003). New perturbation results on pseudo-inverses of linear operators in Banach spaces. Linear algebra and its applications 362:229-235. |
|
Ding J, Huang J (1997). On the continuity of generalized inverses of linear operators in Hilbert spaces. Linear algebra and its applications 262:229-242. |
|
Djordjevic DS, Dijana M (2011). Reverse order law for the Moore-Penrose Inverse in -algebras. Electronic Journal of Linear Algebra 22:92-111. |
|
Drazin MP (1958). Pseudo-inverses in associative rings and semigroups. American Mathematical Monthly 65(7):506-514. |
|
Drazin MP (2012). A class of outer generalized inverses. Linear Algebra and its Application 436(7):1909-1923. |
|
Drazin MP (2016). Left and right generalized inverses. Linear Algebra and its Application 510:64-78. |
|
Frigyes R, Bela S (1955). Functional analysis. Fredrick Ungar Publishing Company, New York. |
|
Israel BA, Greville TNE (2003). Generalized inverse, theory and application. Springer-Verlag New York. |
|
Israel G, Seymour G, Marinus K (2003). Basic classes of linear operators. Birkhauser Verlag, Basel. |
|
James M (1978). The generalised inverse. The Mathematical Gazette 62 (420):109-114. |
|
Khalagai JM, Sheth IH (1987). 'On the operator equation . Mathematics Today 5:29-36. |
|
Koliha JJ (2000). Elements of C*-algebra commuting with their Moore-Penrose inverse. Studia Mathematica 139(1):81-90. |
|
Kulkarni SH, Ramesh G (2015). Perturbation of closed range operators and Moore-Penrose inverse. |
|
Mary X (2011). On generalized inverses and green's relations. Linear Algebra and its Application 434(8):1836-1844. |
|
Moore EH (1920). On the reciprocal of the algebraic matrix, Bulletin of American Mathematical Society 26:394-395. |
|
Mwanzia JM, Kavila M, Khalagai JM (2021). Quasiaffine inverses of linear operators in Hilbert spaces. International Journal of Science and Research 10(11): 1076-1082. |
|
Penrose R (1955). A generalized inverse for matrices. Mathematical Proceedings of the Cambridge Philosophical Society 51(3):406-413. |
|
Penrose R, Todd JA (1955). A generalized inverse for matrices. Mathematics Proceedings Cambridge Philosophical Society 51(3):406-413. |
|
Rakic DS, Dincic N S, Djordjevic DS (2014). Group, Moore-Penrose, core and dual core inverse in rings with involution. Linear Algebra and its Application 463:115-133. |
|
Rao CR, Mitra SK, Mitra JK, (1971). Generalized inverse of matrices and its applications. New York: John Wiley & Sons. |
|
Roger H, Johnson C (1985). Matrix Analysis. Cambridge University Press. |
|
Shani J, Sivakumar KC (2013). On nonnegative Moore-Penrose inverses of perturbed matrices. Journal of Applied Mathematics. |
|
Stewart WG (1977). On the perturbation of pseudo-inverses, projections and linear least squares problems. Society for Industrial and Applied Mathematics 19(4):634-662. |
|
Wang L, Castro-Gonzalez N, Chen J (2017). Characterizations of outer generalized inverses. Canadian Mathematical Bulletin 60(4):861-872. |
|
Wei Y (2003). The representation and approximation for the weighted Moore-Penrose inverse in Hilbert space. Journal of Applied Mathematics and Computing 136(2-3):475-486. |
|
Wei Y, Chen G (2001). Perturbation of least squares problem in Hilbert spaces. Journal of Applied Mathematics and Computing 121(2-3):177-183. |
|
Wei Y, Ding J (2001). Representations for Moore-Penrose inverses in Hilbert spaces. Applied Mathematics Letters 14(5):599-604. |
|
Wong ET (1986). Does the generalized inverse of A commute with A? Mathematical Magazine 54(4):230-232. |
|
Zhou J, Wang G (2007). Block idempotent matrices and generalized Schur complement. Journal of Applied Mathematics and Computing 188(1):246-256. |
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