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International Journal of Computer Mathematics Volume 95, 2018 - Issue 8
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Original Articles

Hermitian and non-negative definite reflexive and anti-reflexive solutions to AX=B

Xifu LiuSchool of Mathematical Sciences, Chongqing Normal University, Chongqing, ChinaCorrespondence[email protected]
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Pages 1666-1671 | Received 16 May 2016, Accepted 10 Mar 2017, Published online: 25 May 2017

References

  • H.-C. Chen, Generalized reflexive matrices: Special properties and applications, SIAM J. Matrix Anal. Appl. 19 (1998), pp. 140–153. doi: 10.1137/S0895479895288759
  • H. Chen and A. Sameh, Numerical linear algebra algorithms on the ceder system, in Parallel Computations and their Impact on Mechanics, The American Society of Mechanical Engineers, AMD Vol. 86, 1987, pp. 101–125.
  • D. Cvetković-Ilić, The reflexive solutions of the matrix equation AXB=C, Comput. Math. Appl. 51 (2006), pp. 897–902. doi: 10.1016/j.camwa.2005.11.032
  • D. Cvetković-Ilić, Re-nnd solutions of the matrix equation AXB=C, J. Aust. Math. Soc. 84 (2008), pp. 63–72. doi: 10.1017/S1446788708000207
  • C.G. Khatri and S.K. Mitra, Hermitian and nonnegative definite solutions of linear matrix equations, SIAM J. Appl. Math. 31 (1976), pp. 579–585. doi: 10.1137/0131050
  • X. Liu, Comments on ‘The common Re-nnd and Re-pd solutions to the matrix equations AX=C and XB=D’, Appl. Math. Comput. 236 (2014), pp. 663–668. doi: 10.1016/j.amc.2014.03.074
  • X. Liu, The common (P,Q) generalized reflexive and anti-reflexive solutions to AX=B and XC=D, Calcolo 53 (2016), pp. 227–234. doi: 10.1007/s10092-015-0146-z
  • X. Liu and Y. Yuan, Generalized reflexive and anti-reflexive solutions of AX=B, Calcolo 53 (2016), pp. 59–66. doi: 10.1007/s10092-014-0136-6
  • Z.-Y. Peng and X.-Y. Hu, The reflexive and anti-reflexive solutions of the matrix equation AX=B, Linear Algebra Appl. 375 (2003), pp. 147–155. doi: 10.1016/S0024-3795(03)00607-4
  • X.-Y. Peng, X.-Y. Hu, and L. Zhang, The reflexive and anti-reflexive solutions of the matrix equation AHXB=C, J. Comput. Appl. Math. 200 (2007), pp. 749–760. doi: 10.1016/j.cam.2006.01.024
  • L. Wu, The re-positive definite solutions to the matrix inverse problem AX=B, Linear Algebra Appl. 174 (1992), pp. 145–151.
  • W. Xu and W. Li, The Hermitian reflexive solutions to the matrix inverse problem AX=B, Appl. Math. Comput. 211 (2009), pp. 142–147. doi: 10.1016/j.amc.2009.01.034
  • S. Zhou and S. Yang, The Hermitian reflexive solutions and the anti-Hermitian reflexive solutions for a class of matrix equations (AX=B,XC=D), Energy Proc. 17 (2012), pp. 1591–1597. doi: 10.1016/j.egypro.2012.02.286

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