摘要
当解线性方程组Ax=b时,将系数矩阵A作双分裂分裂A=P-R+S,P是非奇异的.运用矩阵和代数理论给出并证明了系数矩阵A的非负双分裂的收敛定理和比较定理,最后用实例加以验证.
The linear system Ax=b where A∈Rn×nwith A is nonsingular can be solved by splitting A into three matrices P,R and S with P is nonsingular,which can be expressed by A=P-R＋S.In this paper,the nonnegative double splitting method is derived by using the matrix and the algebra theories.The convergence and comparison theorems for this method are obtained.Examples are given to illustrate the process at last.
出处
《纺织高校基础科学学报》
CAS
2011年第3期322-325,共4页
Basic Sciences Journal of Textile Universities
基金
国家自然科学基金资助项目(60671063)
关键词
非负双分裂
收敛定理
比较定理
nonnegative double splitting
convergence theorem
comparison theorem
