Title of article :
On the convergence of additive and multiplicative splitting iterations for systems of linear equations
Author/Authors :
Bai، نويسنده , , Zhong-Zhi، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2003
Abstract :
We study convergence conditions for the additive and the multiplicative splitting iteration methods, i.e., two generalizations of the additive and the multiplicative Schwarz iterations, for Hermitian and non-Hermitian systems of linear equations, under an algebraic setting. Theoretical analyses show that when the coefficient and the splitting matrices are Hermitian, or non-Hermitian but diagonalizable, satisfying mild conditions, both additive and multiplicative splitting iteration methods are convergent, even if the coefficient matrix is indefinite.
Keywords :
Splitting iteration , Additive/multiplicative Schwarz methods , Hermitian matrix , Diagonalizable matrix , Commutative matrix , Convergence property
Journal title :
Journal of Computational and Applied Mathematics
Journal title :
Journal of Computational and Applied Mathematics