# using Newton's method for three -dimensional system in matlab [closed]

Find the Jacobian matrix $J(x, y, z)$ for the functions

$f(x, y, z) = x^2 + y^2 + z^2 − 9 = 0,$

$g(x, y, z) = xyz − 1 = 0,$

$h(x, y, z) = x + y − z^2 = 0.$

Then using Newton’s method for nonlinear systems, starting with different initial guesses, find four solutions of the above nonlinear set of equations with the accuracy of four decimal places. To find the solutions write a Matlab script to do Newton iteration for this as a three-dimensional system.

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## closed as off-topic by This is much healthier., mookid, hardmath, Rick Decker, Michael AlbaneseJul 16 at 0:06

This question appears to be off-topic. The users who voted to close gave these specific reasons:

• "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – This is much healthier., mookid, Michael Albanese
• "This question is not about mathematics, within the scope defined in the help center." – hardmath, Rick Decker
If this question can be reworded to fit the rules in the help center, please edit the question.

What have you tried? I have no interest in this system, so I have no desire to find the Jacobian or solve it. However, I'd be more than happy to direct you along the right path if you enlighten me as to where you are having issues. –  Arkamis Oct 22 '12 at 17:09