本文選題：線性方程 + CU三角分解法��； 參考：《南昌大學(xué)學(xué)報(bào)(理科版)》2017年01期

【摘要】：針對(duì)傳統(tǒng)CU三角分解法進(jìn)行三角分解時(shí)C、U陣因子陣元素需多個(gè)數(shù)組存放、元素對(duì)應(yīng)關(guān)系不清、計(jì)算公式繁瑣、編程計(jì)算效率不高等問題,提出快速CU三角分解法。在新方法中,引入可清晰地體現(xiàn)c、u元素關(guān)系的合成陣;應(yīng)用按列消元模式和極為簡單、直觀的四角規(guī)則分步計(jì)算c、u元素,而無需使用繁瑣的元素計(jì)算公式;根據(jù)c、u元素的對(duì)應(yīng)關(guān)系,減少相應(yīng)u元素的計(jì)算。新方法簡化了CU三角分解法的分解過程、可大大提高編程效率,并提高三角分解的速度。新方法可用于電力系統(tǒng)計(jì)算等各工程領(lǐng)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.
【作者單位】： 南昌大學(xué)信息工程學(xué)院;國網(wǎng)江西省電力公司培訓(xùn)中心;
【基金】：江西省研究生創(chuàng)新專項(xiàng)資金資助項(xiàng)目(YC2016-S065) 南昌大學(xué)研究生創(chuàng)新專項(xiàng)資金資助項(xiàng)目(cx2016268);南昌大學(xué)科研訓(xùn)練項(xiàng)目(本科生)(1228,2016-01—2017-06)
【分類號(hào)】：TM74
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本文編號(hào)：1871146