References
- Chu , K. E. 1989 . Symmetric solutions of linear matrix equations by matrix decompositions . Linear Algebra Appl. , 119 : 35 – 50 .
- G. Dahlquist and Å. Björck, Numerical Methods in Scientific Computing, Vol. II SIAM Member Price, 2008, pp. 507–508. Available at: http://www.mai.liu.se/~akbjo/NMbook.html
- Dai , H. 1981 . On the symmetric solutions of linear matrix equations . Linear Algebra Appl. , 39 : 61 – 72 .
- Dai , H. 1990 . On the symmetric solutions of linear matrix equations . Linear Algebra Appl. , 131 : 1 – 7 .
- Golub , G. H. and Kahan , W. 1965 . Calculating the singular values and pseudoinverse of a matrix . SIAM J. Numer. Anal. , 2 : 205 – 224 .
- Huang , G.-X. , Yin , F. and Guo , K. 2008 . An iterative method for the skew-symmetric solution and the optimal approximate solution of the matrix equation AXB = C . J. Comput. Appl. Math. , 212 : 231 – 244 .
- Lei , Y. and Liao , A.-P. 2007 . A minimal residual algorithm for the inconsistent matrix equation AXB = C over symmetric matrices . Appl. Math. Comput. , 188 : 499 – 513 .
- Liao , A.-P. and Lei , Y. 2007 . Optimal approximate solution of the matrix equation AXB = C over symmetric matrices . J. Comput. Math. , 25 : 543 – 552 .
- Paige , C. C. and Saunders , M. A. 1982 . LSQR: an algorithm for sparse linear equations and sparse least squares . ACM Trans. Math. Software , 8 ( 1 ) : 43 – 47 .
- Peng , Z.-Y. 2003 . The centro-symmetric solutions of linear matrix equation AXB = C and its optimal approximation . J. Eng. Math. , 6 : 60 – 64 .
- Peng , Z.-Y. 2005 . An iterative method for the least squares symmetric solution of the linear matrix equation AXB = C . Appl. Math. Comput. , 170 : 711 – 723 .
- Peng , Z.-Y. and Hu , X.-Y. 2003 . The reflexive and anti-reflexive solutions of the matrix equation AX=B . Linear Algebra Appl. , 375 : 147 – 155 .
- Peng , Y.-X. , Hu , X.-Y. and Zhang , L. 2005 . An iteration method for the symmetric solutions and the optimal approximation solution of the matrix equation AXB = C . Appl. Math. Comput. , 160 : 763 – 777 .
- Toutounian , F. and Karimi , S. 2006 . Global least squares method (Gl-LSQR) for solving general linear systems with several right-hand sides . Appl. Math. Comput. , 178 : 452 – 460 .
- Trench , W. F. 2004 . Hermitian, hermitian R-symmetric, and hermitian R-skew symmetric Procrustes problems . Linear Algebra Appl. , 387 : 83 – 98 .
- Trench , W. F. 2004 . Minimization problem for (R, S)-symmetric and (R, S)-skew symmetric matrices . Linear Algebra Appl. , 389 : 23 – 31 .
- Wang , Q.-W. and Yang , C.-L. 1998 . The Re-nonnegative definite solutions to the matrix equation . Comment. Math. Univ. Carolinae , 39 ( 1 ) : 7 – 13 .