References

SYMMETRIC POSITIVE SEMI-DEFINITE SOLUTIONS OF AX = B AND XC = D


[1] J. P. Aubin, Applied Functional Analysis, John Wiley, New York, 1979.

[2] A. Dajić and J. J. Koliha, Positive solutions to the equations AX = C and XB = D for Hilbert space operators, J. Math. Anal. Appl. 333 (2007), 567-576.

[3] N. J. Higham, Computing a nearest symmetric positive semidefinite matrix, Linear Algebra and its Applications 103 (1988), 103-118.

[4] F. Li, X. Hu and L. Zhang, The generalized reflexive solution for a class of matrix equations (AX = B, XC = D), Acta Mathematica Scientia 28B (2008), 185-193.

[5] Y.-T. Li and W.-J. Wu, Symmetric and skew-antisymmetric solutions to systems of real quaternion matrix equations, Computers and Mathematics with Applications 55 (2008), 1142-1147.

[6] S. K. Mitra, The matrix equations AX = C, XB = D, Linear Algebra and its Applications 59 (1984), 171-181.

[7] Y. Qiu, Z. Zhang and J. Lu, The matrix equations with PX = sXP constraint, Appl. Math. Comput. 189 (2007), 1428-1434.

[8] Y. Qiu and A. Wang, Least squares solutions to the equations AX = B, XC = D with some constraints, Appl. Math. Comput. 204 (2008), 872-880.

[9] Q.-W. Wang, Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations, Computers and Mathematics with Applications 49 (2005), 641-650.

[10] L. Zhang, The solvability conditions for the inverse problem of symmetric nonnegative definite matrices, Mathematica Numerica Sinica 11 (1989), 337-343.