周平, 李耀堂. 弱链对角占优B-矩阵线性补问题解的误差界估计式的改进[J]. 云南大学学报(自然科学版), 2020, 42(6): 1038-1045. doi: 10.7540/j.ynu.20190656
引用本文: 周平, 李耀堂. 弱链对角占优B-矩阵线性补问题解的误差界估计式的改进[J]. 云南大学学报(自然科学版), 2020, 42(6): 1038-1045. doi: 10.7540/j.ynu.20190656
ZHOU Ping, LI Yao-tang. The improvement on the error bound estimation of the solution of the linear supplementary problem for the weak chain diagonally dominant B-matrix[J]. Journal of Yunnan University: Natural Sciences Edition, 2020, 42(6): 1038-1045. DOI: 10.7540/j.ynu.20190656
Citation: ZHOU Ping, LI Yao-tang. The improvement on the error bound estimation of the solution of the linear supplementary problem for the weak chain diagonally dominant B-matrix[J]. Journal of Yunnan University: Natural Sciences Edition, 2020, 42(6): 1038-1045. DOI: 10.7540/j.ynu.20190656

弱链对角占优B-矩阵线性补问题解的误差界估计式的改进

The improvement on the error bound estimation of the solution of the linear supplementary problem for the weak chain diagonally dominant B-matrix

  • 摘要: 利用弱链对角占优M-矩阵的逆矩阵的无穷大范数的上界估计式和不等式技巧,给出了弱链对角占优B-矩阵线性补问题解的误差界的2个新估计式,改进了已有结果.

     

    Abstract: Two new estimates of the error bound of the solution to the linear supplementary problem of weak chain diagonally dominant B-matrix are given by using the upper bound estimation of infinite norm of the inverse matrix of the weak chain diagonally dominant M-matrix and the techniques of inequalities. These estimates improve several existing results.

     

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