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S-Nekrasov矩阵A的‖A-1上界的估计

An Estimate of the Upper Bound of the‖A-1for S-Nekrasov Matrix A

  • 摘要: 研究了H矩阵的新子类S-Nekrasov矩阵的逆矩阵无穷范数的上界估计问题,在不改变矩阵性质的情况下,通过引入恰当的参数,构造S-SDD矩阵,从而得到了S-Nekrasov矩阵的逆矩阵无穷范数的新上界.数值算例给本文所得的估计式做了强有力的支撑.

     

    Abstract: In the report, the estimate of upper bound of the inverse matrix of the new subclass S-Nekrasov matrix of H matrix was studied, In the case of unchanging the nature of the matrix, the appropriate parameters were introduced, S-SDD matrix was constructed, and a new upper bound of the infinite norm of the inverse matrix of the S-Nekrasov matrix was obtained.The numerical examples provide a strong support for the estimation of the model.

     

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