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On the solution existence to convex polynomial programs and its applications
Optimization Letters ( IF 1.3 ) Pub Date : 2021-01-02 , DOI: 10.1007/s11590-020-01686-w
Nang Tam Nguyen , Van Nghi Tran

In this paper, we present necessary/sufficient conditions for the convex polynomial programming (CPP) problems. Some new stability results for parametric CPP problems are characterized under a regular condition. We give a positive answer for the open question in Kim et al. (Optim Lett 6:363–373, 2012) for the solution existence of convex quadratic programming problems.



中文翻译:

凸多项式程序的解存在性及其应用

在本文中,我们提出了凸多项式规划(CPP)问题的充要条件。在常规条件下表征了参数CPP问题的一些新稳定性结果。对于Kim等人的悬而未决的问题,我们给出了肯定的答案。(Optim Lett 6:363-373,2012)解决凸二次规划问题。

更新日期:2021-01-02
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