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

VL - 218

SP - 8393

EP - 8407

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

IS - 17

ER -