An interior-point algorithm for large-scale quadratic problems with box constraints

An interior-point algorithm for large-scale quadratic problems with box constraints
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具有框约束的大规模二次问题的内点算法

DOI:
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发表时间:
1990
期刊:
影响因子:
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通讯作者:
C. Han
C. Han
中科院分区:
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文献类型:
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作者:
P. Pardalos;Y. Ye;C. Han

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我们目前的计算经验与边界点算法的大规模二次规划问题的框约束。该算法总共需要O(nL)次迭代,其中L是问题的输入数据的大小,每次迭代需要O(n 3)次算术运算。该算法已实现使用矢量化和测试的IBM 3090- 600 S计算机与矢量设施。计算结果表明,该算法的效率取决于一个适当的选择参数。计算结果与各种大规模的问题,包括障碍问题的例子,。
We present computational experience with an interior-point algorithm for large-scale quadratic programming problems with box constraints. The algorithm requires a total of O(√nL) number of iterations, where L is the size of the input data of the problem, and O(n 3) arithmetic operations per iteration. The algorithm has been implemented using vectorization and tested on an IBM 3090-600S computer with vector facilities. The computational results suggest that the efficiency of the algorithm depends on an appropriate choice of parameters. Computational results with various large-scale problems, including examples of obstacle problems, are presented.