TY - JOUR
ID - 34907
TI - A Class of Nested Iteration Schemes for Generalized Coupled Sylvester Matrix Equation
JO - Wavelet and Linear Algebra
JA - WALA
LA - en
SN - 2383-1936
AU - Sheybani, Malihe
AU - Tajaddini, Azita
AU - Yaghoobi, Mohammad Ali
AD - Department of Applied Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
AD - Department of Applied Mathematics, Faculty of Mathematics &amp; Computer Sciences, Shahid Bahonar University of Kerman
AD - Department of Applied Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran.
Y1 - 2018
PY - 2018
VL - 5
IS - 2
SP - 29
EP - 45
KW - Generalized coupled Sylvester equation
KW - NSCG method
KW - inner and outer iteration
DO - 10.22072/wala.2019.93411.1197
N2 - Global Krylov subspace methods are the mostÂ efficient and robust methods to solve generalized coupled Sylvester matrix equation. In this paper, we propose the nested splitting conjugate gradient process for solving this equation. This method has inner and outer iterations, which employs the generalized conjugate gradient method as an inner iteration to approximate each outer iterate, while each outer iteration is induced by a convergence and symmetric positive definite splitting of the coefficient matrices. Convergence properties of this method are investigated. Finally, the effectiveness of the nested splitting conjugate gradient method is explained by some numerical examples.
UR - https://wala.vru.ac.ir/article_34907.html
L1 - https://wala.vru.ac.ir/article_34907_bfd916a717266b2a7855f332a24eff29.pdf
ER -