How to Use arrayfun with a Multivariate Function of n Variables?

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Kareem Elgindy 2020-8-3

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https://ww2.mathworks.cn/matlabcentral/answers/574447-how-to-use-arrayfun-with-a-multivariate-function-of-n-variables

评论： Arthur Roué 2020-8-4

Suppose f(X) is a function of a vector X = [x1, x2, ..., xn]. How to evaluate the function at a certain range of values, say y1, y2, ..., ym, for the variable xi while keeping all other variables fixed?

To make it simple: Say x1, ..., x59, x61, ..., x100 = 10, and we want to evaluate the function for three different values for x60, say at 1.5, -3, and 12. Can we do this without for loops?

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Answer 1

Arthur Roué 2020-8-3

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https://ww2.mathworks.cn/matlabcentral/answers/574447-how-to-use-arrayfun-with-a-multivariate-function-of-n-variables#answer_474502

编辑：Arthur Roué 2020-8-3

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arrayfun is generally not faste than a for loop, becaut it has an internal for loop. read this for more details : https://fr.mathworks.com/matlabcentral/answers/324130-is-arrayfun-faster-much-more-than-for-loop

So I reccomend something like

X = [x1 .. xn];
x60 = [1.5, -3, 12];
Y = NaN(1, numel(x60)); % Pre-allocation (not required for small vectors)
for idx = 1:numel(x60)
    X(60) = x60(idx)
    Y(idx) = yourFun(X)
end