How to evaluate a function matrix at a point in Scientific Notebook

[Hercuflea]

Hi all,

I need to evaluate a matrix of functions. I got the jacobian matrix, and I need to run Newton's Method for systems of nonlinear equations on it. I have the right functions/matrix, but I don't know how to PLUG IN values for x,y,and z in scientific notebook. I need to iterate 5 times starting with (1,1,1). Look at the attached picture and you'll see what I'm talking about. No way I can plug that in by hand 5 iterations. I don't need you to give me any answers, just to tell me how to PLUG IN numbers in Sci NB for matrices with variables in them.

Thanks!

 

[NateD]

You can use the built-in Sci NB command for Newton's Method in order to solve your equation. The command is “Newton[f,x0]” where f is the function and x0 is the initial value in which you want to start the iteration. The command will then iterate until it finds a solution or a maximum number of iterations has been reached. You can specify the maximum number of iterations by adding a third argument to the command, e.g. “Newton[f,x0,5]”. In order to plug in your initial values, you will need to define them as variables. For example, if you want to start with (1,1,1) as your initial values, you can define three variables x, y, and z, and set their values to 1, like this: x=1; y=1; z=1; Once you have defined the variables, you can call the Newton command with the matrix of functions and the variables as arguments, like this: Newton[matrix,{x,y,z},5]This will run the Newton's Method for 5 iterations, starting from the initial values of (1,1,1). I hope this helps.