Parameterized Solution to Generalized Sylvester Matrix Equation

被引：1

作者：

Qiao Yupeng ^{[1
]}

Qi Hongsheng ^{[1
]}

Cheng Daizhan ^{[1
]}

机构：

[1] Chinese Acad Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China

来源：

PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 2 | 2008年

关键词：

Sylvester matrix equation; Parameterized solution;

D O I：

10.1109/CHICC.2008.4604885

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The paper considers the parameterized solution to generalized Sylvester matrix equation. A set of matrix computation formulas have been developed. Using them, formulas for converting generalized Sylvester matrix mappings into conventional linear mappings are obtained. Based on this equation, an easily computable numerical algorithm for complete parameterized solutions of generalized Sylvester matrix equation is provided. The standard Sylvester matrix equation AX-EXF = BY and its dual equation XA-FXE = YC are considered as its special cases and then the corresponding solutions can be produced easily. Some further properties are also investigated. Comparing with existing algorithms, new approach simplified the computation significantly.

引用

页码：2 / 6

页数：5

共 50 条

[1] Uniqueness of solution of a generalized ☆-Sylvester matrix equation
De Teran, Fernando
Iannazzo, Bruno
LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 493 : 323 - 335
[2] On the solution of parameterized Sylvester matrix equations
Dehghani-Madiseh, Marzieh
JOURNAL OF MATHEMATICAL MODELING, 2022, 10 (04): : 535 - 553
[3] Iterative procedure for solution of Sylvester generalized matrix equation
Nikitin, AV
Yasinskii, VK
CYBERNETICS AND SYSTEMS ANALYSIS, 2000, 36 (03) : 472 - 474
[4] Iterative procedure for solution of sylvester generalized matrix equation
A. V. Nikitin
V. K. Yasinskii
Cybernetics and Systems Analysis, 2000, 36 : 472 - 474
[5] The Solution of a Generalized Sylvester Quaternion Matrix Equation and Its Application
Guang-Jing Song
Shaowen Yu
Advances in Applied Clifford Algebras, 2017, 27 : 2473 - 2492
[6] Determinantal Representations for the Solution of the Generalized Sylvester Quaternion Matrix Equation
Kyrchei І.І.
Journal of Mathematical Sciences, 2020, 246 (2) : 234 - 244
[7] The Solution of a Generalized Sylvester Quaternion Matrix Equation and Its Application
Song, Guang-Jing
Yu, Shaowen
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2017, 27 (03) : 2473 - 2492
[8] Parameterized Solution to a Class of Sylvester Matrix Equations
Yu-Peng Qiao 1 Hong-Sheng Qi 2 Dai-Zhan Cheng 2 1 Center for Control and Optimization
Machine Intelligence Research, 2010, (04) : 479 - 483
[9] Parameterized solution to a class of sylvester matrix equations
Qiao Y.-P.
Qi H.-S.
Cheng D.-Z.
International Journal of Automation and Computing, 2010, 7 (04) : 479 - 483
[10] Parameterized Solution to a Class of Sylvester Matrix Equations
YuPeng Qiao HongSheng Qi DaiZhan Cheng Center for Control and OptimizationCollege of Automation Science and EngineeringSouth China University of TechnologyGuangzhou PRC Key Laboratory of Systems and ControlAcademy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing PRC
International Journal of Automation & Computing, 2010, 7 (04) : 479 - 483

← 1 2 3 4 5 →