Nekrasov矩阵线性互补问题的误差界

曲靖师范学院学报 ›› 2020, Vol. 39 ›› Issue (3): 6-8.

Nekrasov矩阵线性互补问题的误差界

蒋建新

文山学院数学学院,云南文山 663099

收稿日期:2020-03-16 出版日期:2020-05-26
作者简介:蒋建新,文山学院数学学院副教授,主要从事数值计算、矩阵理论及其应用研究.

Error Bounds for Iinear Complementarity Problems of Nekrasov Matrix

Jiang Jianxin

School of Mathematics, Wenshan University, Wenshan Yunnan 663099,China

Received:2020-03-16 Published:2020-05-26

摘要/Abstract

摘要： 在研究Nekrasov矩阵A的逆矩阵无穷范数上界的基础上,利用严格对角占优矩阵经典的线性互补误差界估计式,得到了Nekrasov矩阵A的线性互补问题的误差界. 同时借助数值算例对估计式的优越性进行了说明.

关键词: Nekrasov矩阵, 线性互补, 误差界

Abstract: On the basis of studying the upper bound of the infinite norm of the inverse matrix Nekrasov of A, using the classical linear complementary error bounds of strictly diagonally dominant matrices, the error bounds for linear complementarity of A is obtained.At the same time, the superiority of the estimator is illustrated by numerical examples.

Key words: Nekrasov matrix, linear complementarity, error bound

中图分类号:

O151.21

蒋建新. Nekrasov矩阵线性互补问题的误差界[J]. 曲靖师范学院学报, 2020, 39(3): 6-8.

Jiang Jianxin. Error Bounds for Iinear Complementarity Problems of Nekrasov Matrix[J]. JOURNAL OF QUJING NORMAL UNIVERSITY, 2020, 39(3): 6-8.