id: 06074604
dt: j
an: 06074604
au: Guo, Xiao-Xia; Wang, Shen
ti: Modified HSS iteration methods for a class of non-Hermitian
    positive-definite linear systems.
so: Appl. Math. Comput. 218, No. 20, 10122-10128 (2012).
py: 2012
pu: Elsevier Science Publishing Co. (North-Holland), New York
la: EN
cc: 
ut: non-Hermitian positive definite matrix; HSS; MHSS; iteration method;
    convergence analysis
ci: 
li: doi:10.1016/j.amc.2012.03.088
ab: Summary: We consider the numerical solution of a class of non-Hermitian
    positive-definite linear systems by the modified Hermitian and
    skew-Hermitian splitting (MHSS) iteration method. We show that the MHSS
    iteration method converges unconditionally even when the real and the
    imaginary parts of the coefficient matrix are nonsymmetric and positive
    semidefinite and, at least, one of them is positive definite. At each
    step the MHSS iteration method requires to solve two linear sub-systems
    with real nonsymmetric positive definite coefficient matrices. We
    propose to use inner iteration methods to compute approximate solutions
    of these linear sub-systems. We illustrate the performance of the MHSS
    method and its inexact variant by two numerical examples.
rv: