Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/50409
Título: | m-step preconditioners for nonhermitian positive definite Toeplitz systems |
Autor(es): | Liu, Zhongyun Yu, Jing Zhang, Yan Zhang, Yulin |
Palavras-chave: | Circulant Skew circulant splitting m-step polynomial preconditioners Conjugate gradientmethod Toeplitz matrix |
Data: | 2016 |
Editora: | Mathematics Society of Hunan |
Revista: | Mathematical Theory and Applications |
Resumo(s): | It is known that if A is a Toeplitz matrix,then A enjoys a circulant and skew circulant splitting(de— noted by CSCS),i.e.,A=C+ S with C a circulant matrix and S a skew circulant matrix. Based on the CSCS iteration,we give m-step preconditioners P for certain classes of Toeplitz matrices in this paper.We show that if both C and S are positive definite,then the spectrum of the preconditioned matrix(PA)^* PA are clustered around one for some moderate size . Experimental results show that the proposed preconditioners perform slightly better than T.Chan’S preconditioners for some moderate size m. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/50409 |
ISSN: | 1006-8074 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
非埃米特正定Toeplitz矩阵的m-步预处理子2016.pdf | 190,48 kB | Adobe PDF | Ver/Abrir |
Este trabalho está licenciado sob uma Licença Creative Commons