鞍点问题PHSS方法预条件的新取法

doi:10.13371/j.cnki.chin.q.j.m.2015.04.008

数学季刊 ›› 2015, Vol. 30 ›› Issue (4): 555-561.doi: 10.13371/j.cnki.chin.q.j.m.2015.04.008

鞍点问题PHSS方法预条件的新取法

1. Department of Mathematics, Shanghai University2. Department of Automotive Engineering, Nanyang Vocational College of Agriculture

收稿日期:2014-01-22 出版日期:2015-12-30 发布日期:2020-11-19
作者简介:Biographies:WANGShi-heng(1965-), male, native of Nanyang, Henan, an associate professor of Nanyang Vocational College of Agriculture, M.S.D., engages in advanced algebra; WANG Ke(corresponding author)(1978-), male, native of Nanyang, Henan, a lecturer of Shanghai University, Ph.D., engages in numerical linear algebra and scientific computing.
基金资助:
Supported by the National Natural Science Foundation of China(11301330)； Supported by the Shanghai College Teachers Visiting Abroad for Advanced Study Program（B.60-A101-12-010）； Supported by the First-class Discipline of Universities in Shanghai；

A New Choice of the Preconditioner of PHSS Method for Saddle Point Problems

1. Department of Mathematics, Shanghai University2. Department of Automotive Engineering, Nanyang Vocational College of Agriculture

Received:2014-01-22 Online:2015-12-30 Published:2020-11-19
About author:Biographies:WANGShi-heng(1965-), male, native of Nanyang, Henan, an associate professor of Nanyang Vocational College of Agriculture, M.S.D., engages in advanced algebra; WANG Ke(corresponding author)(1978-), male, native of Nanyang, Henan, a lecturer of Shanghai University, Ph.D., engages in numerical linear algebra and scientific computing.
Supported by:
Supported by the National Natural Science Foundation of China(11301330)； Supported by the Shanghai College Teachers Visiting Abroad for Advanced Study Program（B.60-A101-12-010）； Supported by the First-class Discipline of Universities in Shanghai；

摘要/Abstract

摘要： Bai, Golub and Pan presented a preconditioned Hermitian and skew-Hermitian splitting（PHSS） method [Numerische Mathematik, 2004, 32: 1-32] for non-Hermitian positive semidefinite linear systems. We improve the method to solve saddle point systems whose（1,1） block is a symmetric positive definite M-matrix with a new choice of the preconditioner and compare it with other preconditioners. The results show that the new preconditioner outperforms the previous ones.

关键词: saddle point problem, PHSS method, preconditioner

Abstract: Bai, Golub and Pan presented a preconditioned Hermitian and skew-Hermitian splitting（PHSS） method [Numerische Mathematik, 2004, 32: 1-32] for non-Hermitian positive semidefinite linear systems. We improve the method to solve saddle point systems whose（1,1） block is a symmetric positive definite M-matrix with a new choice of the preconditioner and compare it with other preconditioners. The results show that the new preconditioner outperforms the previous ones.

Key words: saddle point problem, PHSS method, preconditioner

中图分类号:

O241.6

孙佳, 王世恒, 王珂. 鞍点问题PHSS方法预条件的新取法[J]. 数学季刊, 2015, 30(4): 555-561.

SUN Jia, WANG Shi-heng, WANG Ke. A New Choice of the Preconditioner of PHSS Method for Saddle Point Problems[J]. Chinese Quarterly Journal of Mathematics, 2015, 30(4): 555-561.

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鞍点问题PHSS方法预条件的新取法

A New Choice of the Preconditioner of PHSS Method for Saddle Point Problems

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