吉林大学学报(理学版)

• 数学 • 上一篇    下一篇

结构方阵秩亏为1的可信性验证

李喆, 周蕊   

  1. 长春理工大学 理学院, 长春 130022
  • 收稿日期:2013-03-04 出版日期:2013-11-26 发布日期:2013-11-21
  • 通讯作者: 李喆 E-mail:zheli200809@163.com

Certification of Square Structure Matrix with Rank Deficiency One

LI Zhe, ZHOU Rui   

  1. College of Science, University of Science and Technology, Changchun 130022, China
  • Received:2013-03-04 Online:2013-11-26 Published:2013-11-21
  • Contact: LI Zhe E-mail:zheli200809@163.com

摘要:

利用区间算法研究秩亏为1结构方阵的可信性验证. 通过给定一个具有特殊代数结构的矩阵M, 算法可输出一个具有相同代数结构的区间方阵M(E), 其每个位置的元素均为矩阵M相应位置元素的很小区间摄动, 使得区间矩阵M(E)中包含一个具有相同代数结构且秩亏为1的矩阵M(ε^).

关键词: 区间算法, 结构方阵, 可信性验证

Abstract:

The authors mainly discussed the certification of the square structure matrix with rank deficiency one. For a square structure matrix M, it is given an algorithm which outputs an interval squarematrix M(E) with the same algebraic structure such that M(E) contains a structure matrix M(ε^)with rank deficiency one, where each element of M(E) is a small interval perturbation of the corresponding element of M.

Key words: interval algorithm, square structure matrix, certification

中图分类号: 

  • O241.3