Random search of stable member in a matrix polytope

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:308

Article

Yilmaz, Serife¹  Buyukkoroglu, Taner²  Dzhafarov, Vakif² 

[1] Mehmet Akif Ersoy Univ, Dept Elementary Educ, Fac Educ, Istiklal Campus, TR-15030 Burdur, Turkey

[2] Anadolu Univ, Fac Sci, Dept Math, TR-26470 Eskisehir, Turkey

关键词: Stable matrix;    Matrix polytope;    Random search;    Bialternate product;   

DOI  :  10.1016/j.cam.2016.05.020

来源: Elsevier

【 摘 要 】

Given a matrix polytope we consider the existence problem of a stable member in it. We suggest an algorithm in which part of uncertainty parameters is chosen randomly. Applications to affine families and 3 x 3 interval families are considered. A necessary and sufficient condition for the existence of a stable member is given for general interval families with nonnegative off-diagonal intervals. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free