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Solutions with special structure to the linear matrix equation

โœ Scribed by Ying Li; Fengxia Zhang; Wenbin Guo; Jianli Zhao


Book ID
108078655
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
275 KB
Volume
61
Category
Article
ISSN
0898-1221

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Solutions to the matrix equation
โœ Ai-Guo Wu; Junqiang Hu; Guang-Ren Duan ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 550 KB

An explicit solution to the generalized Sylvester matrix equation AX -EXF = BY , with the matrix F being a companion matrix, is given. This solution is represented in terms of the R-controllability matrix of (E, A, B), generalized symmetric operator and a Hankel matrix. Moreover, several equivalent