Turkish Journal of Mathematics and Computer Science

Turkish Journal of Mathematics and Computer Science

Solving the Singular Semi-Sylvester Equation Using Drazin-Inverse and DGMRES Algorithm

Yazarlar: Majid ADİB

Cilt 11 , Sayı 1 , 2019 , Sayfalar 1 - 7

Konular:Matematik

Anahtar Kelimeler:Semi-Sylvester equations,Multiple linear systems,DGM- RES algorithm

Özet: In this paper, we want to solve the singular semi-Sylvester equation using the Drazin-inverse and the Drazin-inverse generalized minimum residual method (DGMRES(m) algorithm). First, we transform the semi-Sylvester equation into a multiple linear systems. Then, we present the conditions and assumptions needed to apply the DGMRES(m) algorithm. We compare our proposed method with the Galerkin projection method in point of view CPU-time, accuracy and iteration number. Finally, by some numerical experiments, we show the efficiency of the proposed method.


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BibTex
KOPYALA
@article{2019, title={Solving the Singular Semi-Sylvester Equation Using Drazin-Inverse and DGMRES Algorithm}, volume={11}, number={1}, publisher={Turkish Journal of Mathematics and Computer Science}, author={Majid ADİB}, year={2019}, pages={1–7} }
APA
KOPYALA
Majid ADİB. (2019). Solving the Singular Semi-Sylvester Equation Using Drazin-Inverse and DGMRES Algorithm (Vol. 11, pp. 1–7). Vol. 11, pp. 1–7. Turkish Journal of Mathematics and Computer Science.
MLA
KOPYALA
Majid ADİB. Solving the Singular Semi-Sylvester Equation Using Drazin-Inverse and DGMRES Algorithm. no. 1, Turkish Journal of Mathematics and Computer Science, 2019, pp. 1–7.