在Matlab中向量化递归方程 [英] Vectorizing a recurrence equation in matlab

问题描述

我有一个递归方程:

a(i+1)=a(i)+(((b(i)+b(i+1))*(c(i+1)-c(i)))/(d(i)+d(i+1)));

我有必需的向量b，c和d，它们的长度都相同.我可以假设a(1)=0.

I have the required vectors b,c, and d and they all have the same length. I can assume that a(1)=0.

通常，我总是使用循环来执行此操作，但是由于数据太大，因此需要花费大量时间.我想知道是否有矢量化a的方法?

Generally, I always do this using a loop but since the data is too large, it takes a considerable amount of time. I was wondering if there is a way to vectorize a?

推荐答案

我认为我已经找到答案了.在纸上做了一点数学后，我得到了:

I think that I have got the answer. After doing a bit of math on paper, I get this:

a=cumsum([a(1) ((b(1:end-1)+b(2:end)).*diff(c))./(d(1:end-1)+d(2:end))]);

这篇关于在Matlab中向量化递归方程的文章就介绍到这了，希望我们推荐的答案对大家有所帮助，也希望大家多多支持IT屋！