Generating Multivariate Polynomial Coeffients with known Constants
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I am extremely new to MatLab and am having a hard time trying to generate Coefficients from this equation:
t= (A * a) + (B * s) + (C * s * a)+ (D * s^2) + (E * s^2 * a) + (F)
I have the data for t,s,a.
Trying to find (A,B,C,D,E,F)
I can remove the Coefficient (F) if need be, being it is just an offset, and I have (t).
I could post what I have tried, but I usually dont save it because I am not getting close.
I do have Curve Fitting, Statistics, and Optimization Toolboxes thinking it would help.
I have also tried polyfit and polyfitn.
Also, if this has been answered a hundred times, what would best describe that equation for searching?
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Steven Lord
2024-7-2
See the Multiple Regression section on this documentation page for an example you can adapt to your equation. Make sure you use array operators when constructing the columns of the design matrix.
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Steven Lord
2024-7-3
If you use more information (and so more equations) that will also affect the solution. To use Cleve's example, if I told you that the two numbers have an average of 3 there are multiple solutions (3 and 3, 4 and 2, 6 and 0, etc.)
A = [1/2 1/2; 1 -1];
b = [3; 2];
solutionsToFirstEquation = [3 4 6 16-pi; 3 2 0 -10+pi]
checkFirstEquation = A(1, :)*solutionsToFirstEquation
If I then add the additional information that the difference of the two numbers is 2 the solution is unique. The solution is the second column of solutionsToFirstEquation.
x = A\b
satisfiesBothEquations = A*solutionsToFirstEquation % Only 2nd is right
satisfiesBothEquations2 = [A*x, b]
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