DocumentCode
232547
Title
A new technique for solving continuous Sylvester-conjugate matrix equation AX − X̅B = C
Author
Caiqin Song ; Feng, Jun-e ; Jianli Zhao ; Min Meng
Author_Institution
Coll. of Math. & Syst. Sci., Shandong Univ. of Sci. & Technol., Qingdao, China
fYear
2014
fDate
28-30 July 2014
Firstpage
6545
Lastpage
6548
Abstract
In this paper, the explicit solutions to the matrix equation AX - X̅B = C have been given by using of the so-called Leverrier algorithm. While one of the explicit solutions is stated as a polynomial of coefficient matrices of the matrix equation. Comparing to the existing results, there is no requirement on the coefficient matrices. Furthermore, a numerical example is presented to show the effectiveness of the proposed method.
Keywords
polynomial matrices; Leverrier algorithm; coefficient matrices polynomial; continuous Sylvester-conjugate matrix equation; explicit solutions; Educational institutions; Iterative methods; Mathematical model; Polynomials; Quaternions; Symmetric matrices; Coefficient matrix; Explicit solution; Sylvester-conjugate matrix equation;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (CCC), 2014 33rd Chinese
Conference_Location
Nanjing
Type
conf
DOI
10.1109/ChiCC.2014.6896072
Filename
6896072
Link To Document