Error using inlineeval, Error in inline/subsref, Newton method HELP!

ok so, As part of a group project, we have collected data that should allow us to 'triangulate' via newtons method the position of a fourth point. we are new to matlab, but the code used is from online instruction and we cannot see how to fix the issue, the number arent great, all were really looking for is a solution and an explanation of where we went wrong

 % newton
format long
options = optimset('Jacobian','on');
n=12 % no of iterations
f = inline('[x(1)^2-1191.770*x(1)+x(2)^2-287.428*x(2)+x(3)^2-11.996*x(3)+406526.4166 ; x(1)^2-913.486*x(1)+x(2)^2-34.136*x(2)+x(3)^2-21.492*x(3)+231968.6664 ; x(1)^2-562.932*x(1)+x(2)^2-123.848*x(2)+x(3)^2-17.6742*x(3)+113459.6014]'); % original equations
Df = inline('[2*x(1)-1191.770, 2*x(2)-287.428, 2*x(3)-11.996 ; 2*x(1)-913.486, 2*x(2)-34.136, 2*x(3)-21.492 ; 2*x(1)-562.932, 2*x(2)-123.848, 2*x(3)-14.6742]'); % partial differentials
x = [1200;1200]
for i = 1:n
    Dx = -Df(x)\f(x); %solve for increment
    x = x + Dx;        %add on for new guess
    f(x)              %see if f(x) is zero
end

there are comments so you can hoipefully follow our logic, thanks in advance for any help

these are the error codes

Error using inlineeval (line 15) Error in inline expression ==> [2*x(1)-1191.770, 2*x(2)-287.428, 2*x(3)-11.996 ; 2*x(1)-913.486, 2*x(2)-34.136, 2*x(3)-21.492 ; 2*x(1)-562.932, 2*x(2)-123.848, 2*x(3)-14.6742] Index exceeds matrix dimensions.

Error in inline/subsref (line 24) INLINE_OUT_ = inlineeval(INLINE_INPUTS_, INLINE_OBJ_.inputExpr, INLINE_OBJ_.expr);

Error in gps (line 9) Dx = -Df(x)\f(x); %solve for increment

Answer 1

[Sean de Wolski]

Don't use inline. Use anonymous functions:

http://www.mathworks.com/help/releases/R2012b/matlab/matlab_prog/anonymous-functions.html

Answer 2

[Dylan]

Thanks for the quick reply, so would the idea be to end up with something like where we are now

format long
options = optimset('Jacobian','on');
n=12 % no of iterations
f = @(x1,x2,x3) ('[x1^2-1191.770*x1+x2^2-287.428*x2+x3^2-11.996*x3+406526.4166 ; x1^2-913.486*x1+x2^2-34.136*x2+x3^2-21.492*x3+231968.6664 ; x1^2-562.932*x1+x2^2-123.848*x2+x3^2-17.6742*x3+113459.6014]'); 
Df = @(x1,x2,x3) ('[2*x1-1191.770, 2*x2-287.428, 2*x3-11.996, 0 ; 2*x1-913.486, 2*x2-34.136, 2*x3-21.492, 0 ; 2*x1-562.932, 2*x2-123.848, 2*x3-14.6742, 0]');
x = [100;100]
for i = 1:n
  Dx = -Df(x)\f(x); %solve for increment
  x = x + Dx;        %add on for new guess
  f(x)              %see if f(x) is zero
end

the new erors being

Error using + Matrix dimensions must agree.

Error in gpstrial (line 12) x = x + Dx; %add on for new guess

there is ofcourse the chance we didnt understand the original advice thanks again

[Dylan]

since realised x1 instead of x(1) will not work, however, when x(1) is put inplace of x1 where f = @ (x1...) the error code is

Error: File: gpstrial.m Line: 7 Column: 8 Unbalanced or unexpected parenthesis or bracket.

[Sean de Wolski]

The matrix dimensions not agreeing means that you have two matrices that aren't the sizes you expect. Run:

dbstop if error

and then run your code. MATLAB will stop with the debugger and you will be able to identify the two variables that don't agree.

The other error indicates you're missing a parenthesis, bracket or brace.