L- and R-localized solvabilities of max-separable interval linear equations and its applications

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:279

Article

Leela-apiradee, Worrawate¹  Thipwiwatpotjana, Phantipa¹ 

[1] Chulalongkorn Univ, Fac Sci, Dept Math & Comp Sci, Bangkok 10330, Thailand

关键词: Interval system;    L-localized solvability;    R-localized solvability;    Max-separable;   

DOI  :  10.1016/j.cam.2014.11.024

来源: Elsevier

【 摘 要 】

In this paper, we propose new types of solutions (an L-localized solution and an R-localized solution) to interval systems of max-separable linear equations A circle times x = b, where A = [(A) under bar, (A) over bar] and b = [(b) under bar, (b) over bar]. We provide some small application examples to emphasize the importance of our proposed solutions. We give necessary and sufficient conditions for checking L-localized and R-localized solvabilities and apply them to achieve the closed forms of the sets of all L-localized solutions and R-localized solutions, respectively. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free