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MPSD迭代矩阵与Jacobi迭代矩阵特征值关系研究
引用本文:皮阳.MPSD迭代矩阵与Jacobi迭代矩阵特征值关系研究[J].绵阳师范高等专科学校学报,2014(8):19-25.
作者姓名:皮阳
作者单位:电子科技大学,四川成都611731
摘    要:该文在陈恒新,Evans等前辈的基础上,证明了Jacobi迭代法与其他MPSD迭代法之间的收敛性关系.最后在此基础上,证明了P-循环矩阵情况下,Jacobi迭代矩阵与MPSD迭代矩阵的特征值关系.

关 键 词:迭代法  收敛性  Jacobi  MPSD  P-循环矩阵

Comparison Results between Jacobi and MPSD Iterative Methods
PI Yang.Comparison Results between Jacobi and MPSD Iterative Methods[J].Journal of Mianyang Teachers College,2014(8):19-25.
Authors:PI Yang
Institution:PI Yang ( UESTC, Chengdu, Sichuan 611731 )
Abstract:The comparison results between Jacobi and MPSD iterative methods has been proved in this paper on the basis of Chen Heng-xin,Evans and other seniors′achievement. And hence,the relationship between Jacobi itera-tion matrix and MPSD iterative in the case of P- circle matrix was put forward in this paper based on the results.
Keywords:Jacobi  MPSD  iterative method  convergence  Jacobi  MPSD  P-cyclic matrices
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