Dr Dragana S. Cvetković-Ilić

Full Professor
Department of Mathematics

  • Cvetković Ilić, Dragana S. 2022. “Note on the Assumptions in Working with Generalized Inverses.” Applied Mathematics and Computation 432: 127359.
  • Zou, Honglin, Dragana Cvetković Ilić, and Kezheng Zuo. 2022. “A Generalization of the Co-EP Property.” Communications in Algebra 50(8): 3364–78. https://www.tandfonline.com/doi/abs/10.1080/00927872.2022.2032120 (October 30, 2023).
  • Zuo, Kezheng, Dragana Cvetković Ilić, and Yingjie Cheng. 2022. “Different Characterizations of DMP-Inverse of Matrices.” Linear and Multilinear Algebra 70(3): 411–18. https://www.tandfonline.com/doi/abs/10.1080/03081087.2020.1729084 (October 30, 2023).
  • Zou, Honglin, Dragana Cvetković-Ilić, Jianlong Chen, and Kezheng Zuo. 2022. “Characterizations for the Core Invertibility and EP-Ness Involving Projections.” https://doi.org/10.1142/S1005386722000293 29(3): 385–404.
  • Zou Honglin, Cvetkovic-Ilic Dragana S, Chen Jianlong, Zuo Kezheng, Characterizations for the Core Invertibility and EP-ness Involving Projections, Algebra Colloquium, (2022), vol. 29 br. 03, str. 385-404, https://doi.org/10.1142/S1005386722000293
  • Cvetkovic-Ilic Dragana S, Note on the assumptions in working with generalized inverses, Applied Mathematics and Computation, (2022), vol. 432 Article 127359 – https://doi.org/10.1016/j.amc.2022.127359
  • Zou Honglin, Cvetkovic-Ilic Dragana S, Zuo Kezheng, A generalization of the co-EP property, Communications in Algebra, (2022), vol. 50 br. 8, str. 3364-3378, https://doi.org/10.1080/00927872.2022.2032120
  • Zuo Kezheng, Cvetkovic-Ilic Dragana S, Cheng Yingjie, Different characterizations of DMP-inverse of matrices, Linear and Multilinear Algebra, (2022), vol. 70 br. 3, str. 411-418, https://doi.org/10.1080/03081087.2020.1729084
  • Zuo, K., Baksalary Oskar, M., & Cvetković-Ilić, D. (2021). Further characterizations of the co-EP matrices. Linear Algebra and Its Applications, 616(2021), 66–83. https://doi.org/10.1016/j.laa.2020.12.029
  • Alazemi, A., Anđelić, M., & Cvetkovíć-Ilć, D. (2021). The Moore-Penrose inverse of symmetric matrices with nontrivial equitable partitions. Applied Mathematics and Computation, 400(2021), 126036. https://doi.org/10.1016/j.amc.2021.126036
  • Nikolov Radenković, J., Cvetković-Ilić, D., & Xu, Q. (2021). Solvability of the system of operator equations AX = C , XB = D in Hilbert C *-modules. Annals of Functional Analysis, 12(2021), 32. https://doi.org/10.1007/s43034-021-00110-3
  • Cvetković-Ilić, D. S., Nikolov Radenković, J., & Wang, Q. W. (2021). Algebraic conditions for the solvability to some systems of matrix equations, 69(9), 1579–1609. https://doi.org/10.1080/03081087.2019.1633993
  • Cvetković-Ilić, D. S., Wen Wang, Q., & Wei, Y. (2021). Different completions of A plus CX. Journal of Spectral Theory, 11(3), 905–914. https://doi.org/10.4171/JST/356
  • Cvetkovíć-Ilć, D. S., Hofstadler, C., Hossein Poor, J., Miloševć, J., Raab, C. G., & Regensburger, G. (2021). Algebraic proof methods for identities of matrices and operators: Improvements of Hartwig’s triple reverse order law. Applied Mathematics and Computation, 409(2021), 126357. https://doi.org/10.1016/j.amc.2021.126357
  • Cvetković-Ilić, D., Qing-Wen, W., & Qingxiang, X. (2020). Douglas’ + Sebestyén’s lemmas = a tool for solving an operator equation problem. Journal of Mathematical Analysis and Applications, 482(2), 123599.
  • Zuo, K., Cvetković-Ilić, D. S., & Cheng, Y. (2020). Different characterizations of DMP-inverse of matrices. Linear and Multilinear Algebra, 70(3), 411–418.
  • Cvetković-Ilić, D. S., & Milosević, J. S. (2019). Reverse order laws for {1, 3}-generalized inverses. Linear and Multilinear Algebra, 67(3), 613–624.
  • Cvetković-Ilić, D. S., & Kostadinov, M. (2019). Consistency in invertibility and Fredholmness of operator matrices. Journal of Spectral Theory, 9(2), 635–649.
  • Cvetković-Ilić, D. S. (2019). An analogue to a result of Takahashi II. Journal of Mathematical Analysis and Applications, 479(1), 1266–1280.
  • Cvetković-Ilić, D., & Milošević, J. (2018). Fredholmness of a linear combination of operators. Journal of Mathematical Analysis and Applications, 458(1), 555–565. https://doi.org/10.1016/J.JMAA.2017.09.027
  • Ke, Y., Cvetković-Ilić, D. S., Chen, J., & Višnjić, J. (2018). New results on (b, c)–inverses. Linear and Multilinear Algebra, 66(3), 447–458. https://doi.org/10.1080/03081087.2017.1301362
  • Cvetković-Ilić, Dragana S. Kostadinov, M. V. (2018). Invertibility of linear combinations in B(ℋ). Linear and Multilinear Algebra, 66(11), 2139–2150.
  • Cvetković-Ilić, D. S., & Pavlović, V. (2017). On the point and residual spectrum of the operator matrix MX. Linear and Multilinear Algebra, 65(1), 35–43. https://doi.org/10.1080/03081087.2016.1165171
  • Cvetković-Ilić, D. S., & Pavlović, V. (2018). On surjectivity and denseness of range of the operator A + CX. Journal of Spectral Theory, 8(3), 871–881.
  • Hai, G., & Cvetković-Ilić, D. S. (2017). Generalized left and right Weyl spectra of upper triangular operator matrices. The Electronic Journal of Linear Algebra, 32(2017), 41–50. https://doi.org/10.13001/1081-3810.3373
  • Cvetković-Ilić, D. S. (2017). Fredholm consistency of upper-triangular operator matrices. Journal of Spectral Theory, 7(4), 1023–1038. https://doi.org/10.4171/JST/184
  • Cvetković-Ilić, D. S., & Pavlović, V. (2017). An analogue to a result of Takahashi. Journal of Mathematical Analysis and Applications, 446(1), 264–275. https://doi.org/10.1016/J.JMAA.2016.08.060
  • Cvetković-Ilić, D. S., & Pavlović, V. (2017). Drazin invertibility of upper triangular operator matrices. Linear and Multilinear Algebra, 66(2), 260–267. https://doi.org/10.1080/03081087.2017.1295914
  • Cvetković-Ilić, D. S., & Djikić, M. (2016). Various solutions to reverse order law problems. Linear and Multilinear Algebra, 64(6), 1207–1219. https://doi.org/10.1080/03081087.2015.1082956
  • Cvetković-Ilić Dragana S. (2016). Completions of Upper-Triangular Matrices to Left-Fredholm Operators with Non-Positive Index. Journal of Operator Theory, 76(1), 93-106.
  • Pavlović, V., & Cvetković-Ilić, D. S. (2016). Completions of upper-triangular matrices to Kato nonsingularity. Journal of Mathematical Analysis and Applications, 433(2), 1230–1242. https://doi.org/10.1016/J.JMAA.2015.08.041
  • Mosić, D. V., & Cvetković-Ilić, D. S. (2016). Some orders for operators on Hilbert spaces. Applied Mathematics and Computation, 275(2016), 229–237.
  • Cvetković-Ilić, D. S., Hai, G., & Chen, A. (2015). Some results on Fredholmness and boundedness below of an upper triangular operator matrix. Journal of Mathematical Analysis and Applications, 425(2), 1071–1082. https://doi.org/10.1016/J.JMAA.2015.01.024
  • Pavlović, V., & Cvetković-Ilić, D. S. (2015). Applications of completions of operator matrices to reverse order law for {1}-inverses of operators on Hilbert spaces. Linear Algebra and Its Applications, 484, 219–236. https://doi.org/10.1016/J.LAA.2015.06.015
  • Cvetković-Ilić, Dragana S. Mosić, D. V., & Wei, Y. (2015). Partial orders on B(H). Linear Algebra and Its Applications, 481(2015), 115–130.
  • Cvetković-Ilić, D., & Nikolov, J. (2014). Reverse order laws for {1, 2, 3} -generalized inverses. Applied Mathematics and Computation, 234(2014), 114–117. https://doi.org/10.1016/J.AMC.2014.01.163
  • Benitez, J., S., C.-I. D., & Liu, X. (2014). On the Continuity of the Group Inverse in C*-Algebras. Banach Journal of Mathematical Analysis, 8(2), 204–213.
  • Cvetković-Ilić, D. S. (2014). The point, residual and continuous spectrum of an upper triangular operator matrix. Linear Algebra and Its Applications, 459(15), 357–367. https://doi.org/10.1016/J.LAA.2014.07.010
  • Cvetković-Ilić, D. S., & Nikolov, J. (2014). Reverse order laws for reflexive generalized inverse of operators. Linear and Multilinear Algebra Http://Dx.Doi.Org/10.1080/03081087.2014.922970, 63(6), 1167–1175. https://doi.org/10.1080/03081087.2014.922970
  • Ljubisavljević, J., & Cvetković-Ilić Dragana S. (2013). Representations for Drazin inverse of block matrix. Journal of Computational Analysis and Applications, 15(3), 481–497.
  • Cvetković-Ilić, D. S. (2013). Some results on the (2, 2, 0) Drazin inverse problem. Linear Algebra and Its Applications, 438(12), 4726–4741. https://doi.org/10.1016/J.LAA.2013.02.003
  • Liu, X., Jin, H., & Cvetković-Ilić, D. S. (2013). Representations of generalized inverses of partitioned matrix involving Schur complement. Applied Mathematics and Computation, 219(18), 9615–9629. https://doi.org/10.1016/J.AMC.2012.12.007
  • Benítez, J., & Cvetković-Ilić, D. (2013). Equalities of ideals associated with two projections in rings with involution. Linear and Multilinear Algebra Http://Dx.Doi.Org/10.1080/03081087.2012.743026, 61(10), 1419–1435. https://doi.org/10.1080/03081087.2012.743026
  • Liu, X., Wu, S., & Cvetković-Ilić, D. S. (2013). New Results on Reverse Order Law for {1,2,3}- and {1,2,4}-Inverses of Bounded Operators. Mathematics of Computation, 82(283), 1597–1607.
  • Nikolov, J., & Cvetković-Ilić, D. S. (2013). Re-nnd generalized inverses. Linear Algebra and Its Applications, 439(10), 2999–3007. https://doi.org/10.1016/J.LAA.2013.08.002
  • Benítez, J., & Cvetković-Ilić, D. (2013). On the elements 〖aa〗^+and a^+ a in a ring. Applied Mathematics and Computation, 222(2013), 478–489. https://doi.org/10.1016/J.AMC.2013.07.015
  • Tošić, M., & Cvetković-Ilić, D. S. (2013). The invertibility of the difference and the sum of commuting generalized and hypergeneralized projectors. Linear and Multilinear Algebra, 61(4), 482–493. https://doi.org/10.1080/03081087.2012.689987
  • Deng, C., Cvetković-Ilić, D. S., & Wei, Y. (2012). Properties of the combinations of commutative idempotents. Linear Algebra and Its Applications, 436(1), 202–221. https://doi.org/10.1016/J.LAA.2011.06.043
  • Tošić, M., & Cvetković-Ilić, D. S. (2012). Invertibility of a linear combination of two matrices and partial orderings. Applied Mathematics and Computation, 218(9), 4651–4657. https://doi.org/10.1016/J.AMC.2011.10.052
  • Boasso, E., Cvetković-Ilić, D. S., & Harte, R. (2012). On Weighted Reverse Order Laws for the Moore–Penrose Inverse and K-Inverses. Communications in Algebra, 40(3), 959–971. https://doi.org/10.1080/00927872.2010.543364
  • Liu, X., Huang, S., & Cvetković-Ilić, D. S. (2012). Mixed-type reverse-order laws for {1, 3, 4}-generalized inverses over Hilbert spaces. Applied Mathematics and Computation, 218(17), 8570–8577. https://doi.org/10.1016/J.AMC.2012.02.020
  • Deng, C., Cvetković-Ilić, D. S., & Wei, Y. (2012). On invertibility of combinations of k-potent operators. Linear Algebra and Its Applications, 437(1), 376–387. https://doi.org/10.1016/J.LAA.2012.02.011
  • Zhuang, G., Chen, J., Cvetković-Ilić, D. S., & Wei, Y. (2012). Additive property of Drazin invertibility of elements in a ring. Linear and Multilinear Algebra Http://Dx.Doi.Org/10.1080/03081087.2011.629998, 60(8), 903–910. https://doi.org/10.1080/03081087.2011.629998
  • Cvetković-Ilić, D. S. (2012). New conditions for the reverse order laws for {1,3} and {1,4}-generalized inverses. Electronic Journal of Linear Algebra, 23(2012), 231–242.
  • Koliha, J. J., Cvetković-Ilić, D., & Deng, C. (2012). Generalized Drazin invertibility of combinations of idempotents. Linear Algebra and Its Applications, 437(9), 2317–2324. https://doi.org/10.1016/J.LAA.2012.06.005
  • Liu, X., Jin, H., & Cvetković-Ilić, D. S. (2012). The absorption laws for the generalized inverses. Applied Mathematics and Computation, 219(4), 2053–2059. https://doi.org/10.1016/J.AMC.2012.08.049
  • Liu, X., Qin, Y., & Cvetković-Ilić, D. S. (2012). Perturbation bounds for the Moore-Penrose inverse of operators. Filomat, 26(2), 353–362. https://doi.org/10.2298/FIL1202353L
  • Cvetković-Ilić, D. S. (2011). Reverse order laws for {1, 3,4}-generalized inverses in C*-algebras. Applied Mathematics Letters, 24(2), 210–213. https://doi.org/10.1016/J.AML.2010.09.005
  • Cvetković-Ilić, D. S., & Harte, R. (2011). Reverse order laws in C*-algebras. Linear Algebra and Its Applications, 434(5), 1388–1394. https://doi.org/10.1016/J.LAA.2010.11.022
  • Ljubisavljević, J., & Cvetković-Ilić Dragana S. (2011). Additive results for the Drazin inverse of block matrices and applications. Journal of Computational and Applied Mathematics, 235(12), 3683–3690. https://doi.org/10.1016/J.CAM.2011.02.029
  • Stanimirović, P. S., Cvetković-Ilić, D. S., Miljković, S., & Miladinović, M. (2011). Full-rank representations of {2, 4}, {2, 3}-inverses and successive matrix squaring algorithm. Applied Mathematics and Computation, 217(22), 9358–9367. https://doi.org/10.1016/J.AMC.2011.04.024
  • Cvetković-Ilić, D. S., Stanimirović, P. S., & Miladinović, M. (2011). Comments on some recent results concerning {2, 3} and {2, 4}-generalized inverses. Applied Mathematics and Computation, 218(5), 1512–1514. https://doi.org/10.1016/J.AMC.2011.07.048
  • Nikolov, J., & Cvetković-Ilić, D. S. (2011). Reverse order laws for the weighted generalized inverses. Applied Mathematics Letters, 24(12), 2140–2145. https://doi.org/10.1016/J.AML.2011.06.015
  • Cvetković-Ilić, D., & Harte, R. (2010). The spectral topology in rings. Studia Mathematica, 200(3), 267–278. https://doi.org/10.4064/SM200-3-4
  • Cvetković-Ilić, D. S., & Pavlović, V. (2010). A comment on some recent results concerning the reverse order law for {1, 3, 4}-inverses. Applied Mathematics and Computation, 217(1), 105–109. https://doi.org/10.1016/J.AMC.2010.05.013
  • Cvetković ILic, D., Liu, X., & Zhong, J. (2009). On the (p, q) outer generalized inverse in Banach algebra. Applied Mathematics and Computation, 209(2), 191–196. https://doi.org/10.1016/J.AMC.2008.12.031
  • Zheng, B., Ye, L., & Cvetković-Ilić, D. S. (2009). The *congruence class of the solutions of some matrix equations. Computers and Mathematics with Applications, 57(4), 540–549. https://doi.org/10.1016/J.CAMWA.2008.11.010
  • Cvetković-Ilić, D. S. (2009). Expression of the Drazin and MP-inverse of partitioned matrix and quotient identity of generalized Schur complement. Applied Mathematics and Computation, 213(1), 18–24. https://doi.org/10.1016/J.AMC.2009.02.056
  • Cvetković-Ilić, D. S. (2009). The generalized Drazin inverse with commutativity up to a factor in a Banach algebra. Linear Algebra and Its Applications, 431(5–7), 783–791. https://doi.org/10.1016/J.LAA.2009.03.027
  • Cvetković-Ilić, D. S., Chen, J., & Xu, Z. (2009). Explicit representations of the Drazin inverse of block matrix and modified matrix. Linear and Multilinear Algebra Http://Dx.Doi.Org/10.1080/03081080701772830, 57(4), 355–364. https://doi.org/10.1080/03081080701772830
  • Cvetković-Ilić, D. S., & Deng, C. (2009). Some results on the Drazin invertibility and idempotents. Journal of Mathematical Analysis and Applications, 359(2), 731–738. https://doi.org/10.1016/J.JMAA.2009.05.062
  • Cvetković-Ilić, D. S., & YM, W. (2009). Representations For The Drazin Inverse Of Bounded Operators On Banach Space. Electronic Journal of Linear Algebra, 18(2009), 613–627.
  • Deng, C., Cvetković-Ilić, D. S., & Wei, Y. (2009). Some results on the generalized Drazin inverse of operator matrices. Linear and Multilinear Algebra Https://Doi.Org/10.1080/03081080902722642, 58(4), 503–521. https://doi.org/10.1080/03081080902722642
  • Cvetković-Ilić, D. S. (2008). Group homomorphisms hi such that h_1 (x_1) …h_n (x_n )=y is solvable. Applied Mathematics Letters, 21(4), 361–365. https://doi.org/10.1016/J.AML.2007.05.006
  • Cvetković-Ilić, D. S. (2008). A note on the representation for the Drazin inverse of 2 × 2 block matrices. Linear Algebra and Its Applications, 429(1), 242–248. https://doi.org/10.1016/J.LAA.2008.02.019
  • Stanimirović, P. S., & Cvetković-Ilić, D. S. (2008). Successive matrix squaring algorithm for computing outer inverses. Applied Mathematics and Computation, 203(1), 19–29. https://doi.org/10.1016/J.AMC.2008.04.037
  • Cvetković-Ilić, D. S. (2008). The solutions of some operator equations. Journal of the Korean Mathematical Society, 45(5), 1417–1425.
  • Cvetković-Ilić, D. S. (2008). Re-nnd SOLUTIONS OF THE MATRIX EQUATION AX B = C. Journal of the Australian Mathematical Society, 84(1), 63–72. https://doi.org/10.1017/S1446788708000207
  • Zheng, B., Ye, L., & Cvetković-Ilić, D. S. (2008). Generalized inverses of a normal matrix. Applied Mathematics and Computation, 206(2), 788–795. https://doi.org/10.1016/J.AMC.2008.09.036
  • Cvetković-Ilić, D., & Harte, R. (2007). On the algebraic closure in rings. Proceedings of the American Mathematical Society, 135(11), 3547–3552. https://doi.org/10.1090/S0002-9939-07-08859-4
  • Cvetković-Ilić, D., Dajic, A., & Koliha, J. J. (2007). Positive and real-positive solutions to the equation axa*=c in C*-algebras. Linear and Multilinear Algebra Http://Dx.Doi.Org/10.1080/03081080701248112, 55(6), 535–543. https://doi.org/10.1080/03081080701248112
  • Koliha, J. J., Djordjević, D., & Cvetković, D. (2007). Moore-Penrose inverse in rings with involution. Linear Algebra and Its Applications, 426(2–3), 371–381. https://doi.org/10.1016/J.LAA.2007.05.012
  • Cvetković-Ilić, D. S. (2006). The reflexive solutions of the matrix equation AXB = C. Computers & Mathematics with Applications, 51(6–7), 897–902.
  • Cvetković-Ilić, D. S., Djordjević, D. S., & Wei, Y. (2006). Additive results for the generalized Drazin inverse in a Banach algebra. Linear Algebra and Its Applications, 418(1), 53–61. https://doi.org/10.1016/J.LAA.2006.01.015
  • Cvetković-Ilić, D. S. (2005). A note on generalized inverses and a block-rank equation. Publicationes Mathematicae Debrecen, 66(3–4), 417–426.
  • Cvetković-Ilić, D. S. (2005). On a problem of N. Thome and Y. Wei. Applied Mathematics and Computation, 166(1), 233–236. https://doi.org/10.1016/J.AMC.2004.01.033
  • Cvetković-IIić, D. S., Djordjević, D. S., & Rakočević, V. (2005). Schur complements in C*-algebras. Mathematische Nachrichten, 278(7–8), 808–814. https://doi.org/10.1002/MANA.200310273