| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4629662 | Applied Mathematics and Computation | 2012 | 15 Pages |
Abstract
We consider the solution of the ★-Sylvester equations AX ± X★B★ = C, for ★ = T, H and A,B,∈Cn×nA,B,∈Cn×n, and the related linear matrix equations AXB★ ± X★ = C, AXB★ ± CX★D★ = E and AX ± X★A★ = 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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Chun-Yueh Chiang, Eric King-Wah Chu, Wen-Wei Lin,