On the ☆-Sylvester equation AX ± X☆ B☆ = C

被引：26

作者：

Chiang, Chun-Yueh ^{[1
]}

Chu, Eric King-Wah ^{[2
]}

Lin, Wen-Wei ^{[3
]}

机构：

[1] Natl Formosa Univ, Ctr Gen Educ, Huwei 632, Taiwan

[2] Monash Univ, Sch Math Sci, Clayton, Vic 3800, Australia

[3] Natl Chiao Tung Univ, Dept Appl Math, Hsinchu 300, Taiwan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 17期

关键词：

Linear matrix equation; Lyapunov equation; Palindromic eigenvalue problem; QR decomposition; Generalized algebraic Riccati equation; Schur decomposition; Singular value decomposition; Solvability; MATRIX EQUATION; ERROR;

D O I：

10.1016/j.amc.2012.01.065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：8393 / 8407

页数：15

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[2]

Bernstein D. S., 2005, MATRIX MATH THEORY F

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