TY - JOUR
T1 - On Minimization of Upper Bound for the Convergence Rate of the QHSS Iteration Method
AU - Wu, Wen Ting
N1 - Publisher Copyright:
© 2019, Shanghai University.
PY - 2019/6/7
Y1 - 2019/6/7
N2 - For an upper bound of the spectral radius of the QHSS (quasi Hermitian and skew-Hermitian splitting) iteration matrix which can also bound the contraction factor of the QHSS iteration method, we give its minimum point under the conditions which guarantee that the upper bound is strictly less than one. This provides a good choice of the involved iteration parameters, so that the convergence rate of the QHSS iteration method can be significantly improved.
AB - For an upper bound of the spectral radius of the QHSS (quasi Hermitian and skew-Hermitian splitting) iteration matrix which can also bound the contraction factor of the QHSS iteration method, we give its minimum point under the conditions which guarantee that the upper bound is strictly less than one. This provides a good choice of the involved iteration parameters, so that the convergence rate of the QHSS iteration method can be significantly improved.
KW - Convergence rate
KW - Non-Hermitian matrix
KW - QHSS iteration method
KW - System of linear equations
UR - http://www.scopus.com/inward/record.url?scp=85078457191&partnerID=8YFLogxK
U2 - 10.1007/s42967-019-00015-y
DO - 10.1007/s42967-019-00015-y
M3 - Article
AN - SCOPUS:85078457191
SN - 2096-6385
VL - 1
SP - 263
EP - 282
JO - Communications on Applied Mathematics and Computation
JF - Communications on Applied Mathematics and Computation
IS - 2
ER -