摘要
对系数为对称正定矩阵的线性方程组Ax=b,利用系数矩阵A主对角线上元素的和构造了一种新的收敛迭代格式xk+1=I-a11+…2+annA xk+a11+2…+annb,并进一步对这种格式进行了改进.
Using the sum of the elements of the principal diagonal of the coefficient matrixA, a new itera- tive scheme, i. e.xk=（I-2/α11＋…＋αmA）xk＋2/α11＋…＋αmb is constructed for the linear equation Ar =b of which the coefficient is a symmetric positive definite matrix. Further improvement is made of the scheme.
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第7期75-77,共3页
Journal of Southwest University(Natural Science Edition)
基金
北京物资学院科研创新基地资助项目(WYJD200902)
关键词
线性方程组
迭代算法
对称正定矩阵
linear equation
iterative algorithm
symmetric positive definite matrix
