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how to find argmin to this vector

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c=argmin f(a,b).where both a,b are M*1 and N*1 column matrices respectively.
How to get a,b for minimum value of f(a,b) from matlab

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James Tursa
James Tursa on 24 Nov 2020
What does it mean to find the minimum value or index of two vectors with different lengths? Can you provide a short example of inputs and desired output?
Murali Krishna AG
Murali Krishna AG on 24 Nov 2020
Eg: Let function f=A^2+B^2+A*B+2*A^2*B
where A,B are known column matrices
Input:A,B
Expect output A,B.
I want to find in which A,B matrices the functiuon f could be minimum

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Accepted Answer

KSSV
KSSV on 24 Nov 2020
Are you looking for something like this?
Let a,b be your column matrices.
[a,b] = meshgrid(a,b) ; % make them a matrix
F = f(a,b) ; % evaluate your function, use element by element operations in f
[val,idx] = min(F(:)) ;
amin = a(idx) ;
bmin = b(idx) ;
Have a look on fmincon.

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