Fitting 8 equations simultaneously with three parameters
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I have 8 equations each with three parameters (A, B, and C) to be fitted. For example,
Eq. 1: 2A+3B+5C-1=0
Eq. 2: -5A+2B-10C+12=0 and so on
I would like to fit the three parameters so that all the 8 equations almost hold simultaneously. Having looked at other posts, it seems that lsqnonlin may be the right choice. I am not looking for the actual solution but I would appreciate a yes or no to the use of lsqnonlin for this problem.
Thanks,
Vahid
采纳的回答
If all 8 equations are linear in the fitting parameters like in your example from above, "lsqlin" instead of "lsqnonlin" would be the code to use. If this is not the case, yes: use "lsqnonlin".
2 个评论
Vahid Askarpour
2025-9-19
If there are no constraints on the solution parameters, @Star Strider 's suggestion is also possible to use:
% Eq. 1: 2A+3B+5C-1=0
% Eq. 2: -5A+2B-10C+12=0
% Eq. 3: 9A-B+2C+5=0
% Eq. 4: 4A-7B+6C-13=0
ABC = lsqlin([2 3 5; -5 2 -10; 9 -1 2; 4 -7 6],[1; -12; -5; 13])
ABC = [2 3 5; -5 2 -10; 9 -1 2; 4 -7 6] \ [1; -12; -5; 13]
更多回答（1 个）
Example --
% Eq. 1: 2A+3B+5C-1=0
% Eq. 2: -5A+2B-10C+12=0
% Eq. 3: 9A-B+2C+5=0 % <- ADDED
ABC = [2 3 5; -5 2 -10; 9 -1 2] \ [1; -12; -5]
fprintf('\nA = %9.5f\nB = %9.5f\nC = %9.5f\n',ABC)
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