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- Title
Linear matrix equations of the Sylvester type in the self-conjugate case.
- Authors
Ikramov, Kh.
- Abstract
The article presents the linear matrix equations of self-conjugate Sylvester type of equation. It examines the transposed analogs of the matrix equations with the discrete Sylvester equation and the continuous Sylvester equation. It notes the correspondence of linear operators related to Sylvester operators and matrix equations. It explains that the bar over a matrix's symbol represents the entry-wise complex conjugation. The solutions and explanations of the equations proving the matrix are also provided.
- Subjects
LINEAR matrix inequalities; SYLVESTER matrix equations; QUANTITATIVE research; CONTROL theory (Engineering); ANALOG data; MATHEMATICAL models; MATHEMATICAL functions; MATHEMATICAL analysis; NUMERICAL analysis
- Publication
Doklady Mathematics, 2013, Vol 87, Issue 3, p286
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562413030162