B-矩阵线性互补问题的误差界估计

doi:10.13438/j.cnki.jdzk.2021.01.003

吉首大学学报（自然科学版） ›› 2021, Vol. 42 ›› Issue (1): 16-22.DOI: 10.13438/j.cnki.jdzk.2021.01.003

B-矩阵线性互补问题的误差界估计

董瑛雪，莫宏敏

（吉首大学数学与统计学院，湖南吉首 416000）

出版日期:2021-01-25 发布日期:2021-02-05
通讯作者: 莫宏敏（1969—），湖南慈利人，吉首大学数学与统计学院副教授，博士，主要从事矩阵理论与计算研究.
基金资助:
吉首大学研究生校级科研项目（JDY19009）

Error Bounds for Linear Complementarity Problem of B-Matrices

DONG Yingxue， MO Hongmin

（College of Mathematics and Statistics, Jishou University, Jishou 416000, Hunan China）

Online:2021-01-25 Published:2021-02-05

摘要/Abstract

摘要：利用严格对角占优M-矩阵的逆矩阵的无穷大范数范围，得到了P-矩阵的子类B-矩阵线性互补问题的新的误差界估计式.

关键词： 线性互补问题, 严格对角占优M-矩阵, B-矩阵, 误差界, 估计式

Abstract: With the infinite norm range of the inverse matrices of the strictly diagonally dominant M-matrices, the error bounds for linear complementarity problem of B-matrices is studied, and a new estimate of the error bounds is given.

Key words: linear complementarity problem, strictly diagonally dominant M-matrices, B-matrices, error bound, estimate

董瑛雪, 莫宏敏. B-矩阵线性互补问题的误差界估计[J]. 吉首大学学报（自然科学版）, 2021, 42(1): 16-22.

DONG Yingxue, MO Hongmin. Error Bounds for Linear Complementarity Problem of B-Matrices[J]. Journal of Jishou University(Natural Sciences Edition), 2021, 42(1): 16-22.

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B-矩阵线性互补问题的误差界估计

Error Bounds for Linear Complementarity Problem of B-Matrices

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