Open AccessExtrapolated New Hermitian and Skew-Hermitian Splitting Method for Non-Hermitian Positive Definite Linear System
Author(s) -
Qing Xue,
Xin Sun,
Yanting Xiao
Publication year - 2020
Publication title -
iop conference series. earth and environmental science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.179
H-Index - 26
eISSN - 1755-1307
pISSN - 1755-1315
DOI - 10.1088/1755-1315/428/1/012052
Subject(s) - hermitian matrix , positive definite matrix , convergence (economics) , mathematics , skew , hermitian function , mathematical analysis , pure mathematics , physics , eigenvalues and eigenvectors , quantum mechanics , astronomy , economics , economic growth
Extrapolated new Hermitian and skew-Hermitian splitting method is presented for solving non-Hermitian and normal positive definite linear systems. We theoretically prove that this method is convergent in three different ranges of the parameters α and ω. Specially, the convergence results of the NHSS method are also obtained, which generalize the conclusions in [2]. The numerical example further verifies the results.