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- W3143635296 abstract "In this paper, we propose a new nonlinear optimization model to solve semidefinite optimization problems (SDPs), providing some properties related to local optimal solutions. The proposed model is based on another nonlinear optimization model given by Burer and Monteiro (2003), but it has several nice properties not seen in the existing one. Firstly, the decision variable of the proposed model is a triangular low-rank matrix, and hence the dimension of its decision variable space is smaller. Secondly, the existence of a strict local optimum of the proposed model is guaranteed under some conditions, whereas the existing model has no strict local optimum. In other words, it is difficult to construct solution methods equipped with fast convergence using the existing model. Some numerical results are also presented to examine the efficiency of the proposed model." @default.
- W3143635296 created "2021-04-13" @default.
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- W3143635296 date "2021-03-29" @default.
- W3143635296 modified "2023-09-27" @default.
- W3143635296 title "An equivalent nonlinear optimization model with triangular low-rank factorization for semidefinite programs" @default.
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- W3143635296 doi "https://doi.org/10.48550/arxiv.2103.15411" @default.
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