Two families of the simple iteration method, in comparison

Autor: N. N. Chentsova, Pavel Nikolaevich Sorokin
Jazyk: ruština
Rok vydání: 2012
Předmět:
Zdroj: Компьютерные исследования и моделирование, Vol 4, Iss 1, Pp 5-29 (2012)
ISSN: 2077-6853
2076-7633
Popis: Convergence to the solution of the linear system with real quadrate non singular matrix A with real necessary different sign eigen values of two families of simple iteration method: two-parametric and symmetrized one-parametric generated by these A and b is considered. Also these methods are compared when matrix A is a symmetric one. In this case it is proved that the coefficient of the optimal compression of two-parametric family is strongly less than the coefficient of the optimal compression of symmetrized one-parametric family of the simple iteration method.
Databáze: OpenAIRE