Geodesic
On the CRI method for solving Sylvester equation with complex symmetric positive semi-definite coefficient matrices
Filomat, Tome 35 (2021) no. 9, p. 3071

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DOI

Combination of real and imaginary parts (CRI) method is an efficient method for solving a class of large sparse linear systems with complex symmetric positive semi-definite coefficient matrices. In this work we will extend CRI approach to determine the approximate solution of Sylvester equation with complex symmetric semi-definite positive coefficient matrices. We show that the new algorithm converges unconditionally to the unique exact solution of the Sylvester matrix equation. In the end we test the new scheme by solving some numerical examples
DOI : 10.2298/FIL2109071K
Classification : 15A30, 15A69, 65F10
Keywords: Complex Sylvester matrix equation, CRI iteration method, Convergence 
Gholamreza Karamali; Akbar Shirilord; Mehdi Dehghan. On the CRI method for solving Sylvester equation with complex symmetric positive semi-definite coefficient matrices. Filomat, Tome 35 (2021) no. 9, p. 3071 . doi: 10.2298/FIL2109071K
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     author = {Gholamreza Karamali and Akbar Shirilord and Mehdi Dehghan},
     title = {On the {CRI} method for solving {Sylvester} equation with complex symmetric positive semi-definite coefficient matrices},
     journal = {Filomat},
     pages = {3071 },
     year = {2021},
     volume = {35},
     number = {9},
     doi = {10.2298/FIL2109071K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2109071K/}
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