Generalized LHSS method for non-Hermitian positive definite linear systems(求解非埃尔米特正定方程组的广义LHSS迭代法)

CHULu(初鲁); BAOLiang(鲍亮); DONGBeibei(董贝贝)

doi:10.3785/j.issn.1008-9497.2018.06.008

Zhejiang Daxue xuebao. Lixue ban (Nov 2018)

Generalized LHSS method for non-Hermitian positive definite linear systems(求解非埃尔米特正定方程组的广义LHSS迭代法)

CHULu(初鲁),
BAOLiang(鲍亮),
DONGBeibei(董贝贝)

Affiliations

CHULu(初鲁): ORCiD; School of Science, East China University of Science and Technology, Shanghai 200237, China(华东理工大学理学院，上海 200237)
BAOLiang(鲍亮): ORCiD; School of Science, East China University of Science and Technology, Shanghai 200237, China(华东理工大学理学院，上海 200237)
DONGBeibei(董贝贝): School of Science, East China University of Science and Technology, Shanghai 200237, China(华东理工大学理学院，上海 200237)

DOI: https://doi.org/10.3785/j.issn.1008-9497.2018.06.008
Journal volume & issue: Vol. 45, no. 6
pp. 694 – 697

Abstract

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基于矩阵的埃尔米特和反埃尔米特分解，李良等给出了一类求解非埃尔米特正定方程组的LHSS迭代法，在系数矩阵的埃尔米特和非埃尔米特之间进行了非对称迭代，在较松弛的约束条件下即可获得收敛结果.本文对该方法做进一步研究，给出了一类求解非埃尔米特正定方程组的广义LHSS迭代方法.数值结果表明，系数矩阵经恰当分解，在处理某些问题时广义LHSS迭代法优于HSS迭代法.

Published in Zhejiang Daxue xuebao. Lixue ban

ISSN: 1008-9497 (Print)
Publisher: Zhejiang University Press
Country of publisher: China
LCC subjects: Science: Mathematics: Instruments and machines: Electronic computers. Computer science; Science: Physics
Website: https://www.zjujournals.com/sci/EN/1008-9497/home.shtml

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