Title :
GLHSS Method for Singular Saddle Point Problems
Author_Institution :
Sch. of Math. & Inf. Sci., Wenzhou Univ., Wenzhou, China
Abstract :
For large sparse saddle point problems, Zhu studied a generalized local Hermitian and skew-Hermitian splitting (GLHSS) method for the non-Hermitian saddle problem (see M.Z.Zhu, A generalized local Hermitian and skew-Hermitian splitting iteration methods for the non-Hermitian saddle point problems, J. Comput. Appl. Math., 218 (2012) 8816-8824). In this paper, we present GLHSS method for singular saddle point problems and derive conditions for guaranteeing the semiconvergence.
Keywords :
approximation theory; convergence of numerical methods; integral equations; iterative methods; GLHSS method; generalized local Hermitian-and-skew-Hermitian splitting iteration methods; nonHermitian saddle problem; singular saddle point problems; sparse saddle point problems; Convergence; Educational institutions; Eigenvalues and eigenfunctions; Equations; Iterative methods; Linear systems; Symmetric matrices; Hermitian and skew-Hermitian positive splitting; Iterative method; Singular saddle point problems; semiconvergence;
Conference_Titel :
Computational and Information Sciences (ICCIS), 2013 Fifth International Conference on
Conference_Location :
Shiyang
DOI :
10.1109/ICCIS.2013.255
