Localized solutions to interval linear equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:238

Article

Li, Wei¹  Wang, Huping¹  Wang, Qin² 

[1] Hangzhou Dianzi Univ, Inst Operat Res & Cybernet, Hangzhou 310018, Zhejiang, Peoples R China

[2] China Jiliang Univ, Coll Sci, Hangzhou 310018, Zhejiang, Peoples R China

关键词: Interval linear equations;    Tolerance solutions;    Control solutions;    L-localized solutions;    R-localized solutions;    Localized solutions;   

DOI  :  10.1016/j.cam.2012.08.016

来源: Elsevier

【 摘 要 】

In this paper, we propose a new type of solutions, localized solutions, to interval linear equations Ax = b. The new solutions are based on L-localized solutions and R-localized solutions. The concepts of the three solutions are given and the characteristics of the new solutions to the interval linear equations are described by means of nonlinear inequality, as is similar to the well-known Oettli-Prager inequality which is related to the mid-point and interval radius. Some necessary conditions of the three types of solutions to the equations are given. (C) 2012 Elsevier B.V. All rights reserved.

【 授权许可】

Free