快速CU三角分解法

发布时间：2018-05-10 22:15

  本文选题：线性方程 + CU三角分解法　； 参考：《南昌大学学报(理科版)》2017年01期

【摘要】：针对传统CU三角分解法进行三角分解时C、U阵因子阵元素需多个数组存放、元素对应关系不清、计算公式繁琐、编程计算效率不高等问题,提出快速CU三角分解法。在新方法中,引入可清晰地体现c、u元素关系的合成阵;应用按列消元模式和极为简单、直观的四角规则分步计算c、u元素,而无需使用繁琐的元素计算公式;根据c、u元素的对应关系,减少相应u元素的计算。新方法简化了CU三角分解法的分解过程、可大大提高编程效率,并提高三角分解的速度。新方法可用于电力系统计算等各工程领域。
[Abstract]:A fast CU triangular decomposition method is proposed to solve the problems that the elements of CU matrix factor matrix need to be stored in multiple arrays when the traditional CU triangular decomposition method is used, the corresponding relation of the elements is not clear, the calculation formula is cumbersome, and the efficiency of programming calculation is not high. In the new method, we introduce a composite matrix which can clearly reflect the relationship of cu elements, and apply the method to calculate cu elements by column elimination model and very simple and intuitive quadrangular rules, without the use of tedious element calculation formulas According to the corresponding relation of cu element, the calculation of corresponding u element is reduced. The new method simplifies the decomposition process of CU triangular decomposition method, which can greatly improve the programming efficiency and the speed of triangulation decomposition. The new method can be used in various engineering fields such as power system calculation.
【作者单位】： 南昌大学信息工程学院;国网江西省电力公司培训中心;
【基金】：江西省研究生创新专项资金资助项目(YC2016-S065) 南昌大学研究生创新专项资金资助项目(cx2016268);南昌大学科研训练项目(本科生)(1228,2016-01—2017-06)
【分类号】：TM74
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本文编号：1871146