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Solutions and perturbation estimates for the matrix equation

✍ Scribed by Xiaoyan Yin; Sanyang Liu; Liang Fang


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
191 KB
Volume
431
Category
Article
ISSN
0024-3795

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✍ Ai-Guo Wu; Junqiang Hu; Guang-Ren Duan πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 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

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The periodic differential equation (1 + E cos t)y"+ py = 0, hereby termed the ## Carson-Cambi equation, is the simplest second-order differential equation having a periodic coefficient associated with the second derivative. Provided (e( < 1, which is the case we examine, then the differential equat