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B-矩阵线性互补问题的误差界估计 被引量:1

Error Bounds for Linear Complementarity Problem of B-Matrices
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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. 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.
作者 董瑛雪 莫宏敏 DONG Yingxue;MO Hongmin(College of Mathematics and Statistics, Jishou University, Jishou 416000, Hunan China)
出处 《吉首大学学报(自然科学版)》 CAS 2021年第1期16-22,共7页 Journal of Jishou University(Natural Sciences Edition)
基金 吉首大学研究生校级科研项目(JDY19009)。
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 linear complementarity problem strictly diagonally dominant M-matrices B-matrices error bound estimate
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  • 2Shivakumar P N, Williams J J, Ye Q and Marinov C A. On two-sided bounds related to weakly diagonally dominant M-matrices with application to digital circuit dynamics. SIAM J. Matrix Anal. Appl., 1996, 17(2):298-312.
  • 3Cheng G H and Huang T Z. An upper bound for ||A^-1||∞ of strictly diagonally dominant matrices. Linear Algebra Appl., 2007, 426:667-673.
  • 4Wang P. An upper bound for ||A^-1||∞ of strictly diagonally dominant matrices. Linear Algebra Appl., 2009, 431:511-517.
  • 5Li Y T, Chen F B and Wang D F. New lower bounds on eigenvalue of the Hadamard product of an M- matrix and its inverse. Linear Algebra Appl., 2009, 430:1423-1431.

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