Semidefinite Program Duals for Separable Polynomial Programs Involving Box Constraints

2020 ◽  
Vol 185 (1) ◽  
pp. 289-299
Author(s):  
Thai Doan Chuong
2016 ◽  
Vol 296 ◽  
pp. 265-274 ◽  
Author(s):  
Przemysław Gospodarczyk ◽  
Paweł Woźny

2012 ◽  
Vol 479-481 ◽  
pp. 1318-1324
Author(s):  
Zhi Qing Li ◽  
Jin Xin Tian ◽  
Tian Hua Song

The contradiction between the effective supply and the uncertain demand in housing security system, which is an important part of the urban social security system, has been a major obstacle to urban sustainable development since 1998, and how to effectively deal with it is becoming more and more important. In this paper, the uncertain demand of indemnificatory housing, which was caused by the rapid urbanization, is considered, and the models for indemnificatory housing provision under box constraints, ellipsoid constraints and polyhedral constraints are constructed respectively by using distributional robust optimization, and at the same time, the reliability of optimal models in theory is proved in the form of theorem. In the end, as application of models, the paper takes Beijing as an example, and conducts empirical research on provision of indemnificatory housing during the past five years (2006-2010), which shows the effectiveness of the method.


Entropy ◽  
2020 ◽  
Vol 22 (2) ◽  
pp. 161
Author(s):  
Bao-Zhi Sun ◽  
Zhi-Xi Wang ◽  
Xianqing Li-Jost ◽  
Shao-Ming Fei

The quantum measurement incompatibility is a distinctive feature of quantum mechanics. We investigate the incompatibility of a set of general measurements and classify the incompatibility by the hierarchy of compatibilities of its subsets. By using the approach of adding noises to measurement operators, we present a complete classification of the incompatibility of a given measurement assemblage with n members. Detailed examples are given for the incompatibility of unbiased qubit measurements based on a semidefinite program.


2013 ◽  
Vol 297 (12) ◽  
pp. 2233-2253 ◽  
Author(s):  
Nicholas R. Geist ◽  
Willem J. Hillenius ◽  
Eberhard Frey ◽  
Terry D. Jones ◽  
Ross A. Elgin

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