پیوندهای مفید
آمار
| تعداد نشریات | 22 |
| تعداد شمارهها | 705 |
| تعداد مقالات | 10,149 |
| تعداد مشاهده مقاله | 71,507,410 |
| تعداد دریافت فایل اصل مقاله | 63,219,323 |
Star ordering of range symmetric matrices in indefinite inner product space | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 2، دوره 14، شماره 8، آبان 2023، صفحه 15-22 اصل مقاله (366.27 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.30228.4370 | ||
| نویسندگان | ||
| D. Krishnaswamy1؛ A. Narayanasamy1؛ Abdelkader Benali* 2 | ||
| 1Department of Mathematics, Government Arts and Science College, T.C.Koot Road, Vanur-605111, Tamil Nadu, India | ||
| 2Faculty of The Exact Sciences and Computer, Mathematics Department, University of Hassiba Benbouali, Chlef Algeria, B.P. 151 Hay Essalem, Chlef 02000, Algeria | ||
| تاریخ دریافت: 27 اسفند 1401، تاریخ پذیرش: 17 خرداد 1402 | ||
| چکیده | ||
| In this paper, we obtain some characterizations of range symmetric matrices and utilize them to study the partial ordering of range symmetric matrices with respect to the indefinite inner product. As a consequence of this, different characterizations of partial orders on range symmetric matrices are obtained. | ||
| کلیدواژهها | ||
| Indefinite inner product؛ range symmetric؛ partial order | ||
| مراجع | ||
|
[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. | ||
|
آمار تعداد مشاهده مقاله: 16,989 تعداد دریافت فایل اصل مقاله: 10,354 |
||