The solution of the matrix equation AXB=D and the system of matrix equations AX=C, XB=D with X*X=Ip

[1]  Yongxin Yuan,et al.  The Re-nnd and Re-pd solutions to the matrix equations AX = C, XB = D , 2020, Linear and Multilinear Algebra.

[2]  Zhongyun Liu,et al.  Stationary splitting iterative methods for the matrix equation AXB=C , 2020, Appl. Math. Comput..

[3]  Q. Wang,et al.  The Re-nonnegative definite solutions to the matrix equation $AXB=C$ , 1998 .

[4]  Anding Wang,et al.  Least squares solutions to the equations AX=B, XC=D with some constraints , 2008, Appl. Math. Comput..

[5]  Mohammad Khorsand Zak,et al.  Nested splitting conjugate gradient method for matrix equation AXB=CAXB=C and preconditioning , 2013, Comput. Math. Appl..

[6]  Hongxing Wang,et al.  Relations between least-squares and least-rank solutions of the matrix equation AXB=CAXB=C , 2013, Appl. Math. Comput..

[7]  N. Trendafilov,et al.  The Orthogonally Constrained Regression Revisited , 2001 .

[8]  Robert E. Skelton,et al.  All covariance controllers for linear discrete-time systems , 1990 .

[9]  D. S. Cvetkovi-Iliíc The reflexive solutions of the matrix equation AX B = C , 2006 .

[10]  Lawrence Crone Second order adjoint matrix equations , 1981 .

[11]  Nickolay T. Trendafilov,et al.  On a differential equation approach to the weighted orthogonal Procrustes problem , 1998, Stat. Comput..

[12]  Xi-Yan Hu,et al.  The skew-symmetric orthogonal solutions of the matrix equation AX=B☆ , 2005 .

[13]  Jerry J. Koliha,et al.  Positive solutions to the equations AX = C and XB = D for Hilbert space operators , 2007 .

[14]  R. Penrose A Generalized inverse for matrices , 1955 .

[15]  Yonghui Liu,et al.  Some properties of submatrices in a solution to the matrix equations AX=C, XB=D , 2009 .

[16]  Qingxiang Xu Common hermitian and positive solutions to the adjointable operator equations AX = C, XB = D , 2008 .

[17]  Yongxin Yuan,et al.  The Re-nonnegative definite and Re-positive definite solutions to the matrix equation AXB = D , 2015, Appl. Math. Comput..

[18]  D. Cvetkovic-Ilic,et al.  Re-nnd SOLUTIONS OF THE MATRIX EQUATION AXB=C , 2008, Journal of the Australian Mathematical Society.

[19]  Sujit Kumar Mitra Common solutions to a pair of linear matrix equations A 1 XB 1 = C 1 and A 2 XB 2 = C 2 , 1973 .

[20]  Junfeng Lu,et al.  The matrix equations AX=B, XC=F with PX=sXP constraint , 2007, Appl. Math. Comput..

[21]  K. Chu Symmetric solutions of linear matrix equations by matrix decompositions , 1989 .

[22]  Lin Dai,et al.  On Hermitian and skew-Hermitian splitting iteration methods for the linear matrix equation AXB=C , 2013, Comput. Math. Appl..

[23]  Hua Dai,et al.  Generalized reflexive solutions of the matrix equation AXB=D and an associated optimal approximation problem , 2008, Comput. Math. Appl..