Geodesic
Solving Sylvester equation with complex symmetric semi-definite positive coefficient matrices
Filomat, Tome 36 (2022) no. 5, p. 1743

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DOI

Combination of real and imaginary parts (CRI) works well for solving complex symmetric linear systems. This paper develops a generalization of CRI method to determine the solution of Sylvester matrix equation. We show that this, regardless of condition, converges to solution of the Sylvester equation. At the end we test the new scheme by solving a numerical example.
DOI : 10.2298/FIL2205743S
Classification : 15A30, 15A69, 65F10
Keywords: Complex Sylvester matrix equation, GCRI iteration method, Convergence 
Akbar Shirilord; Gholamreza Karamali; Mehdi Dehghan. Solving Sylvester equation with complex symmetric semi-definite positive coefficient matrices. Filomat, Tome 36 (2022) no. 5, p. 1743 . doi: 10.2298/FIL2205743S
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     author = {Akbar Shirilord and Gholamreza Karamali and Mehdi Dehghan},
     title = {Solving {Sylvester} equation with complex symmetric semi-definite positive coefficient matrices},
     journal = {Filomat},
     pages = {1743 },
     year = {2022},
     volume = {36},
     number = {5},
     doi = {10.2298/FIL2205743S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2205743S/}
}
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