compute force matrix from positions matrix

Question

Diego Soler Polo 2016-3-24

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https://ww2.mathworks.cn/matlabcentral/answers/275334-compute-force-matrix-from-positions-matrix

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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Answer 1

Jos (10584) 2016-3-25

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https://ww2.mathworks.cn/matlabcentral/answers/275334-compute-force-matrix-from-positions-matrix#answer_214962

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.