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关于Z-矩阵的一类新预条件迭代法(英文)

A New Type of Preconditioned Iterative Methods for Z-matrices
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摘要 给出了解线性方程组Ax =b的一类新的预条件迭代法 ,并证明了其收敛性 .数值例子表明 。 A new type of preconditioned iterative methods for solving a linear system Ax=b are presented,some of related convergent results are proved.Some numerical examples illustrate that the convergence rate of the new preconditioned method proposed is superior to the classical Gauss-Seidel iterative methods.
出处 《云南大学学报(自然科学版)》 CAS CSCD 2002年第1期5-8,13,共5页 Journal of Yunnan University(Natural Sciences Edition)
基金 ThisworkissupportedbytheSciencesFoundationofYunnanProvince( 2 0 0 0A0 0 0 1-1M ) andthecooperativeprojectofYunnanProvincewithuniversities subjectconstructionoffinancialmathematics andtheRh .DFoundationofXi’anJiaotongUniversity
关键词 GAUSS-SEIDEL迭代法 预条件迭代法 Z-矩阵 对角占优 线性方程组 收敛速度 Gauss-Seidel iteration preconditioned method Z-matrix diagonal dominant
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参考文献5

  • 1ANANDA D G.Modified iterative methods for consistent linear systems[].Linear Algebra and Its Applications.1991
  • 2KOHNO T,KOTAKEMORI H,NIKI H.Improving the modified Gauss-Seidel method for Z-matrices[].Linear Algebra and Its Applications.1997
  • 3USUI M,NIKI H,KOHNO T.Adaptive Gauss-Seidel method for linear systems[].International Journal of Computer Mathematics.1994
  • 4KOTAKEMORI H,NIKI H,OKAMOTO N.Accelerated iterative method for Z-matrices[].J Comput & Appl Math.1996
  • 5JAMES K R,RIHA W.Convergence of matrix iterations subject to diagonal dominance[].SIAM Journal on Numerical Analysis.1973

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