TY - JOUR
T1 - On the *-Sylvester equation AX +/- X* B* = C
AU - Chiang, Chun-Yueh
AU - Chu, King-Wah Eric
AU - Lin, Wen-wei
PY - 2012
Y1 - 2012
N2 - We consider the solution of the star-Sylvester equations AX +/- (XB star)-B-star = C, for star = T, H and A, B, is an element of C-nxn, and the related linear matrix equations AXB(star) +/- X-star = C, AXB(star) +/- (CXD star)-D-star = E and AX +/- X(star)A(star) = C. Solvability conditions and numerical methods are considered, in terms of the (generalized and periodic) Schur and QR decompositions. We emphasize the square cases where m = n but the rectangular cases will be considered.
AB - We consider the solution of the star-Sylvester equations AX +/- (XB star)-B-star = C, for star = T, H and A, B, is an element of C-nxn, and the related linear matrix equations AXB(star) +/- X-star = C, AXB(star) +/- (CXD star)-D-star = E and AX +/- X(star)A(star) = C. Solvability conditions and numerical methods are considered, in terms of the (generalized and periodic) Schur and QR decompositions. We emphasize the square cases where m = n but the rectangular cases will be considered.
UR - http://www.sciencedirect.com/science/article/pii/S0096300312001142
U2 - 10.1016/j.amc.2012.01.065
DO - 10.1016/j.amc.2012.01.065
M3 - Article
SN - 0096-3003
VL - 218
SP - 8393
EP - 8407
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 17
ER -