How to create a jacobian matrix for newton methods using multiple variables

2015 10 19
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I am trying to create a jacobian matrix using the equations
f1= x^2 +2x+2y^2-26 and f2=2x^3-y^2+4y-19
I haven't seen other codes that use more of the same variable (x^2, 2x) per equation, usually it's one x and one y variable. Does anyone have any advice or ideas on how to create the matrix?

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Walter Roberson
Walter Roberson 2015-10-19

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If you have the symbolic toolbox, then
syms x y
f1 = x^2 +2*x+2*y^2-26
f2 = 2*x^3-y^2+4*y-19
jacobian([f1, f2], [x,y])
If you do not have the symbolic toolbox then you will need to do the computations the usual way,
[diff(f1,x), diff(f1, y); diff(f2, x), diff(f2, y)]

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