高师理科学刊
高師理科學刊
고사이과학간
JOURNAL OF SCIENCE OF TEACHERS' COLLEGE AND UNIVERSITY
2013年
2期
20-22
,共3页
方秀男%汤凤香%杨文泉%李东%邹晓范
方秀男%湯鳳香%楊文泉%李東%鄒曉範
방수남%탕봉향%양문천%리동%추효범
病态方程组%SOR法%残差%修正算法%最优松弛因子
病態方程組%SOR法%殘差%脩正算法%最優鬆弛因子
병태방정조%SOR법%잔차%수정산법%최우송이인자
ill-conditioned equations%SOR method%residual%modified algorithm%optimal relaxation factor
针对一类病态方程组的SOR法进行了研究,在引入残差的基础上,提出了求解的修正SOR方法,对其最优松弛因子进行了分析,并通过实例对修正算法做了进一步的探讨.
針對一類病態方程組的SOR法進行瞭研究,在引入殘差的基礎上,提齣瞭求解的脩正SOR方法,對其最優鬆弛因子進行瞭分析,併通過實例對脩正算法做瞭進一步的探討.
침대일류병태방정조적SOR법진행료연구,재인입잔차적기출상,제출료구해적수정SOR방법,대기최우송이인자진행료분석,병통과실례대수정산법주료진일보적탐토.
Researched a kind of ill-conditioned equations with SOR method,and on the basis of the introduction of residual,proposed a new modified SOR method. Then the analysis about its optimal relaxation factor was provided. Finally further explored the modified algorithm through an example.