Random search of stable member in a matrix polytope

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• 作者：Şerife Yılmaz^a ; ^{serifeyilmaz@mehmetakif.edu.tr" class="auth_mail" title="E-mail the corresponding author} ; Taner Bü ; yü ; kkö ; roğlu^b ; ^{tbuyukkoroglu@anadolu.edu.tr" class="auth_mail" title="E-mail the corresponding author} ; Vakif Dzhafarov^b ; ^{vcaferov@anadolu.edu.tr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：15A15 ; 15A24 ; 93D30 ; 93D20
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2016
• 出版时间：15 December 2016
• 年：2016
• 卷：308
• 期：Complete
• 页码：59-68
• 全文大小：592 K

文摘

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 243d99afec400c0f5d5" title="Click to view the MathML source">3×3$3\times 3$ 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.