Open AccessOn the CRI method for solving Sylvester equation with complex symmetric positive semi-definite coefficient matrices
Author(s) -
Gholamreza Karamali,
Akbar Shirilord,
Mehdi Dehghan
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2109071k
Subject(s) - mathematics , sylvester equation , positive definite matrix , coefficient matrix , matrix (chemical analysis) , sylvester's law of inertia , scheme (mathematics) , symmetric matrix , mathematical analysis , eigenvalues and eigenvectors , materials science , physics , quantum mechanics , composite material
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.