1 |
F. P. A. Beik and D. K. Salkuyeh, On the global Krylov subspace methods for solving general coupled matrix equation, Comput. Math. Appl. 62 (2011), no. 12, 4605-4613.
DOI
ScienceOn
|
2 |
F. P. A. Beik and D. K. Salkuyeh, The coupled Sylvester-transpose matrix equations over generalized centro- symmetric matrices, Int. J. Comput. Math. 90 (2013), no. 7, 1546-1566.
DOI
|
3 |
D. S. Bernstein, Matrix Mathematics: theory, facts, and formulas, Second edition, Princeton University Press, 2009.
|
4 |
A. Bjorck, Numerical Methods for Least Squares Problems, SIAM, Philadelphia, 1996.
|
5 |
C. F. Borges, R. Frezza, and W. B. Gragg, Some inverse eigenproblems for Jacobi and arrow matrices, Numer. Linear Algebra Appl. 2 (1995), no. 3, 195-203.
DOI
|
6 |
A. Bouhamidi and K. Jbilou, A note on the numerical approximate solutions for gener- alized Sylvester matrix equations with applications, Appl. Math. Comput. 206 (2008), no. 2, 687-694.
DOI
ScienceOn
|
7 |
M. Dehghan and M. Hajarian, An iterative algorithm for solving a pair of matrix equa- tion AY B = E, CY D = F over generalized centro-symmetric matrices, Comput. Math. Appl. 56 (2008), no. 12, 3246-3260.
DOI
ScienceOn
|
8 |
M. Dehghan and M. Hajarian, The general coupled matrix equations over generalized bisymmetric matrices, Linear Algebra Appl. 432 (2010), no. 6, 1531-1552.
DOI
ScienceOn
|
9 |
M. Dehghan and M. Hajarian, Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations, Appl. Math. Model. 35 (2011), no. 7, 3285-3300.
DOI
ScienceOn
|
10 |
F. Ding and T. Chen, Gradient based iterative algorithms for solving a class of matrix equations, IEEE Trans. Automat. Control 50 (2005), no. 8, 1216-1221.
DOI
ScienceOn
|
11 |
F. Ding and T. Chen, On iterative solutions of general coupled matrix equations, SIAM J. Control Optim. 44 (2006), no. 6, 2269-2284.
DOI
ScienceOn
|
12 |
F. Ding, P. X. Liu, and J. Ding, Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle, Appl. Math. Comput. 197 (2008), no. 1, 41-50.
DOI
ScienceOn
|
13 |
A. El Guennouni, K. Jbilou, and A. J. Riquet, Block Krylov subspace methods for solving large Sylvester equations, Numer. Algorithms 29 (2002), no. 1-3, 75-96.
DOI
|
14 |
D. Fisher, G. Golub, O. Hald, C. Leiva, and O. Widlund, On Fourier-Toeplitz methods for separable elliptic problems, Math. Comp. 28 (1974), 349-368.
DOI
ScienceOn
|
15 |
M. Hajarian, Developing the CGLS algorithm for the least squares solutions of the general coupled matrix equations, Math. Methods Appl. Sci. 37 (2014), no. 17, 2782- 2798.
DOI
ScienceOn
|
16 |
M. Hajarian and M. Dehghan, The generalized centro-symmetric and least squares gen- eralized centro-symmetric solutions of the matrix equation AY B + C D = E, Math. Methods Appl. Sci. 34 (2011), no. 13, 1562-1579.
DOI
ScienceOn
|
17 |
D. Y. Hu and L. Reichel, Krylov-subspace methods for the Sylvester equation, Linear Algebra Appl. 172 (1992), 283-313.
DOI
ScienceOn
|
18 |
T. Jiang and M. Wei, On solutions of the matrix equations X − AXB = C and X − A X B = C, Linear Algebra Appl. 367 (2003), 225-233.
DOI
ScienceOn
|
19 |
G. X. Huang, F. Ying, and K. Gua, An iterative method for skew-symmetric solution and the optimal approximate solution of the matrix equation AXB = C, J. Comput. Appl. Math. 212 (2008), no. 2, 231-244.
DOI
ScienceOn
|
20 |
K. Jbilou and A. J. Riquet, Projection methods for large Lyapunov matrix equations, Linear Algebra Appl. 415 (2006), no. 2, 344-358.
DOI
ScienceOn
|
21 |
H. Li, Z. Gao, and D. Zhao, Least squares solutions of the matrix equation AXB + CY D = E with the least norm for symmetric arrowhead matrices, Appl. Math. Comput. 226 (2014), 719-724.
DOI
ScienceOn
|
22 |
J. F. Li, X. Y. Hu, X.-F. Duan, and L. Zhang, Iterative method for mirror-symmetric solution of matrix equation AXB +CY D = E, Bull. Iranian Math. Soc. 36 (2010), no. 2, 35-55.
|
23 |
D. P. O'leary and G. Stewart, Computing the eigenvalues and eigenvectors of symmetric arrowhead matrices, J. Comput. Phys. 90 (1990), no. 2, 497-405.
DOI
ScienceOn
|
24 |
B. Parlett, The Symmetric Eigenvalue Problem, Prentice-Hall, Englewood Cilffs, 1980.
|
25 |
B. Parlett and B. Nour-Omid, The use of a refined error bound when updating eigen- values of tridiagonals, Linear Algebra Appl. 68 (1985), 179-219.
DOI
ScienceOn
|
26 |
Z. H. Peng, The reflexive least squares solutions of the matrix equation + + ... + = C with a submatrix constraint, Numer. Algorithms 64 (2013), no. 3, 455-480.
DOI
ScienceOn
|
27 |
Z. H. Peng, X. Y. Hu, and L. Zhang, Two inverse eigenvalue problems for a special kind of matrices, Linear Algebra Appl. 416 (2006), no. 2, 336-347.
DOI
ScienceOn
|