[1] J.K. Baksalary and S.K. Mitra, Left-star and right-star partial orderings, Linear Algebra Appl. 149 (1991), 73–89.
[2] A. Ben-Isreal and T. Greville, Generalized Inverse: Theory and Applications, 2nd Edition, Springer Verlag, New York, 2003.
[3] J. Bognar, Indefinite inner product spaces, Springer Verlag, 1974.
[4] M.P. Drazin, Natural structures on semi groups with involution, Bull. Amer. Math. Soc. 84 (1978), 139–141.
[5] R.E. Hartwig, How to partially order regular elements? Japan. J. Math. 25 (1980), 1–13.
[6] A. Hernandez, M. Lattanzi, N. Thome, and F. Urquiza, The star partial order and the eigenprojection at 0 on EP matrices, Appl. Math. Comput. 218 (2012), 10669–10678.
[7] S. Jayaraman, EP matrices in indefinite inner product spaces, Funct. Anal. Approx. Comput. 4 (2012), no. 2, 23–31.
[8] D. Krishnaswamy and A. Narayanasamy, Positive semidefinite matrices with reference to indefinite inner product, J. Emerg. Tech. Innov. Res. 5 (2018), no. 9, 150–154.
[9] D. Krishnaswamy and A. Narayanasamy, On Sums of Range Symmetric Matrices with reference to indefinite inner product, Indian J. Pure Appl. Math. 50 (2019), no. 2, 499–510.
[10] D. Krishnaswamy and A. Narayanasamy, Projections involving Moore-Penrose inverse with reference to indefinite inner product, Submitted.
[11] F.X. Liu and H. Yang, Some Results on the Partial Orderings of Block Matrices, J. Inequal. Appl. 2011 (2011), 1–7.
[12] A.R. Meenakshi, Range symmetric matrices in indefinite inner product space, Int. J. Fuzzy Math. Arch. 5 (2014), no. 2, 49–56.
[13] A.R. Meenakshi, On product of range symmetric matrices in indefinite inner product space, Funct. Anal. Approx. Comput. 8 (2016), no. 2, 15–20.
[14] A.R. Meenakshi, Principal pivot transforms of range symmetric matrices in indefinite inner product space, Funct. Anal. Approx. Comput. 8 (2016), no. 2, 37–43.
[15] A.R. Meenakshi, Matrix partial orders in indefinite inner product space, Funct. Anal. Approx. Comput. 10 (2018), no. 1, 29–34.
[16] S.B. Malik, Some more properties of core partial order, Appl. Math. Comput. 221 (2013), 192–201.
[17] S.B. Malik, L. Ruedab, and N. Thome, Further properties on the core partial order and other matrix partial orders, Linear Multilinear Algebra 62 (2014), 1629–1648.
[18] S.K. Mitra, On group inverses and the sharp order, Linear Algebra Appl. 92 (1987), 17–37.
[19] S.K. Mitra, P. Bhimasankaram, and S.B. Malik, Matrix Partial Orders, Shorted Operators and Applications, World Scientific Publishing Company, Singapore, 2010.
[20] I.M. Radojevic, New results for EP matrices in indefinite inner product spaces, Czechoslovak Math. J. 64 (2014), no. 139, 91–103.
[21] I.M. Radojevic and D.S. Djordjevic, Moore-Penrose inverse in indefinite inner product spaces, Filomat 31 (2017), no. 12, 3847–3857.
[22] K. Ramanathan, K. Kamaraj, and K.C. Sivakumar, Indefinite product of matrices and applications to indefinite inner product spaces, J. Anal., 12 (2004), 135–142.
[23] C.R. Rao and S.K. Mitra, Generalized Inverse of Matrices and Its Applications, John Wiley & Sons, New York, 1971.
[24] C. Stepniak, Ordering of nonnegative definite matrices with application to comparison of linear models. Linear Algebra Appl. 70 (1987), 67–71.
[25] M. Tosic and D.S. Cvetkovic-Ilic, Invertibility of a linear combination of two matrices and partial orderings, Appl. Math. Comput. 218 (2012), 4651–4657.
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