• 论文 •

### 求解一类分块二阶线性方程组的QHSS迭代方法

1. 北京信息科技大学理学院, 北京 100192
• 收稿日期:2020-01-02 出版日期:2021-02-15 发布日期:2021-02-04
• 通讯作者: 陈芳, chenfreesky@126.com
• 基金资助:
国家自然科学基金（No.11501038）和北京市教育委员会科技计划项目（Nos.KM201911232010，KM201811232020）资助.

Li Tianyi, Chen Fang. QHSS ITERATION METHOD FOR A CLASS OF BLOCK TWO-BY-TWO LINEAR SYSTEMS[J]. Mathematica Numerica Sinica, 2021, 43(1): 110-117.

### QHSS ITERATION METHOD FOR A CLASS OF BLOCK TWO-BY-TWO LINEAR SYSTEMS

Li Tianyi, Chen Fang

1. School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, China
• Received:2020-01-02 Online:2021-02-15 Published:2021-02-04

We use the QHSS iteration method to solve a class of block two-by-two linear systems. By properly relaxing the convergence conditions of the QHSS iteration method, we give an alternative QHSS iteration scheme for solving the block two-by-two linear systems, and prove that when the (1, 1) block of the coefficient matrix is symmetric and positive semidefinite, this QHSS iteration method is also convergent under certain conditions. We also use the numerical experiments to verify the feasibility and effectiveness of the QHSS iteration method.

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