摘要
提出了求解系数矩阵为块三对角矩阵的线性方程组的三次PEk方法,并讨论了系数矩阵为Hermite正定矩阵时三次PEk方法的可解性及收敛性。最后在数值实验中估计出最优参数的范围,并与SBGS和Jacobi方法进行了比较,验证了新算法的有效性。
Cubic PEk method is proposed for solving a system of linear equations whose coefficient matrix is block tridi- agonal matrix. And the solubility and convergency of the cubic PEk method are analyzed when the coefficient matrix is Hermi- tian positive definite matrix. Finally the range of optimal parameter is estimated in the numerical experiment. Compared with the SBGS and Jacobi method , the effectiveness of new algorithm is verified.
出处
《四川理工学院学报（自然科学版）》
CAS
2013年第4期90-92,共3页
Journal of Sichuan University of Science & Engineering(Natural Science Edition)
基金
福建省教育厅A类科技项目(JAI2287)
莆田学院教学改革项目(JG200918)
