EPr Solution to a System of Matrix Equations

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References

[1] H. Schwerdtfeger, “Introduction to Linear Algebra and the Theory of Matrices,” P. Noordhoff, Groningen, 1950.

[2] M. H. Pearl, “On normal and matrices,” Michigan Mathematical Journal, Vol. 6, No. 1, 1959, pp. 1-5.
http://dx.doi.org/10.1307/mmj/1028998132

[3] C. R. Rao and S. K. Mitra, “Generalized Inverse of Matrices and Its Applications,” Wiley, New York, 1971.

[4] O. M. Baksalary and G. Trenkler, “Characterizations of EP, normal, and Hermitian matrices,” Linear Multilinear Algebra, Vol. 56, 2008, pp. 299-304.
http://dx.doi.org/10.1080/03081080600872616

[5] Y. Tian and H. X. Wang, “Characterizations of Matrices and Weighted-EP Matrices,” Linear Algebra Applications, Vol. 434, No. 5, 2011, pp. 1295-1318.
http://dx.doi.org/10.1016/j.laa.2010.11.014

[6] K.-W. E. Chu, “Singular Symmetric Solutions of Linear Matrix Equations by Matrix Decompositions,” Linear Algebra Applications, Vol. 119, 1989, pp. 35-50.
http://dx.doi.org/10.1016/0024-3795(89)90067-0

[7] R. D. Hill, R. G. Bates and S. R. Waters, “On Centrohermitian Matrices,” SIAM Journal on Matrix Analysis and Applications, Vol. 11, No. 1, 1990, pp. 128-133.
http://dx.doi.org/10.1137/0611009

[8] Z. Z. Zhang, X. Y. Hu and L. Zhang, “On the Hermitian-Generalized Hamiltonian Solutions of Linear Mattrix Equations,” SIAM Journal on Matrix Analysis and Applications, Vol. 27, No. 1, 2005, pp. 294-303.
http://dx.doi.org/10.1137/S0895479801396725

[9] A. Dajic and J. J. Koliha, “Equations and in Rings and Rings with Involution with Applications to Hilbert Space Operators,” Linear Algebra Applications, Vol. 429, No. 7, 2008, pp. 1779-1809.
http://dx.doi.org/10.1016/j.laa.2008.05.012

[10] C. G. Khatri and S. K. Mitra, “Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations,” SIAM Journal on Matrix Analysis and Applications, Vol. 31, No. 4, 1976, pp. 579-585.
http://dx.doi.org/10.1137/0131050

[11] F. J. H. Don, “On the Symmetric Solutions of a Linear Matrix Equation,” Linear Algebra Applications, Vol. 93, 1987, pp. 1-7.
http://dx.doi.org/10.1016/S0024-3795(87)90308-9

[12] H. X. Chang, Q. W. Wang and G. J. Song, “(R,S)-Conjugate Solution to a Pair of Linear Matrix Equations,” Applied Mathematics and Computation, Vol. 217, 2010, pp. 73-82. http://dx.doi.org/10.1016/j.amc.2010.04.053

[13] E. W. Cheney, “Introduction to Approximation Theory,” McGraw-Hill Book Co., 1966.