compute force matrix from positions matrix

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Diego Soler Polo
Diego Soler Polo 2016-3-24
回答： Jos (10584) 2016-3-25
Hi,
I have the following problem. I want to create a function which takes as inputs a 1XN vector of masses and a Nx3 matrix of positions. The k-th row is the coordinates (x,y,z) of the k-th particle. The function should output a Nx3 matrix where the k-th row consists of the cartesian coordinates of the total gravitational force exerted upon the k-th particle.
This is very easy to achive by using loops in the function, but I was wondering whether there is some brief and more eficient way to do this without using any iteration loops.
Thank you for your help!

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回答（1 个）

Jos (10584)
Jos (10584) 2016-3-25
There surely is way to vectorise your code, using bsxfun, accumarray and/or arrayfun, for instance. However, this most likely to make your code less efficient and readable.

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