참고문헌
- J. K. Baksalary and G. P. H. Styan, Generalized inverses of partitioned matrices in Banachiewicz-Schur form, Linear Algebra Appl. 354 (2002), no. 1-3, 41-47. https://doi.org/10.1016/S0024-3795(02)00334-8
- R. H. Bouldin, Generalized inverses and factorizations, Recent applications of generalized inverses, pp. 233-249, Res. Notes in Math., 66, Pitman, Boston, Mass.-London, 1982.
- R. G. Douglas, On majorization, factorization, and range inclusion of operators on Hilbert space, Proc. Amer. Math. Soc. 17 (1966), 413-415. https://doi.org/10.2307/2035178
- M. R. Hestenes, Relative hermitian matrices, Pacific J. Math. 11 (1961), 225-245. https://doi.org/10.2140/pjm.1961.11.225
- J. Ji, Explicit expressions of the generalized inverses and condensed Cramer rules, Linear Algebra Appl. 404 (2005), 183-192. https://doi.org/10.1016/j.laa.2005.02.025
- M. Khadivi, Range inclusion and operator equations, J. Math. Anal. Appl. 197 (1996), no. 2, 630-633. https://doi.org/10.1006/jmaa.1996.0043
- T.-T. Lu and S.-H. Shiou, Inverses of 2 × 2 block matrices, Comput. Math. Appl. 43 (2002), no. 1-2, 119-129. https://doi.org/10.1016/S0898-1221(01)00278-4
- P. Phohomsiri and B. Han, An alternative proof for the recursive formulae for computing the Moore-Penrose M-inverse of a matrix, Appl. Math. Comput. 174 (2006), no. 1, 81-97. https://doi.org/10.1016/j.amc.2005.04.091
-
Y. Tian, The Moore-Penrose inverses of m
$\times$ n block matrices and their applications, Linear Algebra Appl. 283 (1998), no. 1-3, 35-60. https://doi.org/10.1016/S0024-3795(98)10049-6 - G. Wang and B. Zheng, The weighted generalized inverses of a partitioned matrix, Appl. Math. Comput. 155 (2004), no. 1, 221-233. https://doi.org/10.1016/S0096-3003(03)00772-0
- Y. Wei, The representation and approximation for the weighted Moore-Penrose inverse in Hilbert space, Appl. Math. Comput. 136 (2003), no. 2-3, 475-486. https://doi.org/10.1016/S0096-3003(02)00071-1
-
Y. Wei, A characterization and representation of the generalized inverse
$A_{T}^{(2)},_S$ and its applications, Linear Algebra Appl. 280 (1998), no. 2-3, 87-96. https://doi.org/10.1016/S0024-3795(98)00008-1 - Y. Wei, J. Cai, and M. K. Ng, Computing Moore-Penrose inverses of Toeplitz matrices by Newton's iteration, Math. Comput. Modelling 40 (2004), no. 1-2, 181-191. https://doi.org/10.1016/j.mcm.2003.09.036
- Y.Wei and J. Ding, Representations for Moore-Penrose inverses in Hilbert spaces, Appl. Math. Lett. 14 (2001), no. 5, 599-604. https://doi.org/10.1016/S0893-9659(00)00200-7
-
Y. Wei and D. S. Djordjevi, On integral representation of the generalized inverse
$A_{T}^{(2)},_S$ , Appl. Math. Comput. 142 (2003), no. 1, 189-194. https://doi.org/10.1016/S0096-3003(02)00296-5 -
Y. Wei and N. Zhang, A note on the representation and approximation of the outer inverse
$A_{T}^{(2)},_S$ of a matrix A, Appl. Math. Comput. 147 (2004), no. 3, 837-841. https://doi.org/10.1016/S0096-3003(02)00815-9 - J. Zhow and G. Wang, Block idempotent matrices and generalized Schur complement, Appl. Math. Comput. 188 (2007), no. 1, 246-256. https://doi.org/10.1016/j.amc.2006.08.175
피인용 문헌
- Hypo-EP operators vol.47, pp.1, 2016, https://doi.org/10.1007/s13226-015-0168-x
- Expression for the multiplicative perturbation of the Moore–Penrose inverse 2018, https://doi.org/10.1080/03081087.2017.1344182
- Weighted CMP inverse of an operator between Hilbert spaces pp.1579-1505, 2018, https://doi.org/10.1007/s13398-018-0603-z
- New characterizations of the CMP inverse of matrices pp.1563-5139, 2018, https://doi.org/10.1080/03081087.2018.1518401
- -commutative equalities for some outer generalized inverses pp.1563-5139, 2018, https://doi.org/10.1080/03081087.2018.1500994