3by3 Newton-Raphson Method 2

[windell747]

Hi, I'm writing a program in C that creates a simple model of the forces within a tow cable being pulled through the ocean by a ship. In my force analysis I have three non-linear equations with three unknows. To solve for these unknowns I would like to use the Newton-Raphson method. I've found a lot of information on the simple single unknown form, but haven't found much for solving three unknonows using a 3by3 matrix.

Do any of you know of any already made functions that I could use so that I eliminate the need to reinvent the wheel?

Thank you,
windell747

 

[BigInch]

Isn't that better known as the "Newton-Multidimensional" method? ie. calculating corrections via a Jacobi matrix. You might try searching for an algorithm by that name.

BigInch-born in the trenches.

http://virtualpipeline.spaces.msn.com

 

[PNachtwey]

http://en.wikipedia.org/wiki/Newton's_method#Nonlinear_systems_of_equations

Look below in the references at the Numerical Recipes in C.
You can buy the source code or find it on line.

http://www.nr.com