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I've tried all sorts of initial conditions but this just won't converge. It is an easy Lagrange multipliers problem.

var("y z L") F(x, y, z, L) = (x-3)^2 (y-1)^2 (z 1)^2 L*(x^2 y^2 z^2 - 4)
minimize(F, [4, 3, 2, 1], algorithm='ncg' )

Any thoughts? Are there ways of forcing it to use more iterations, or something??

I've tried all sorts of initial conditions but this just won't converge. It is an easy Lagrange multipliers problem.

var("y z L") 
F(x, y, z, L) = (x-3)^2   (y-1)^2   (z 1)^2   L*(x^2   y^2   z^2 - 4) 
 
minimize(F, [4, 3, 2, 1], algorithm='ncg' )
)

I've tried all sorts of initial conditions but this just won't converge. It is an easy Lagrange multipliers problem.

var("y z L") 
F(x, y, z, L) = (x-3)^2  +  (y-1)^2  +  (z 1)^2  +  L*(x^2   y^2   z^2 - 4)  
minimize(F, [4, 3, 2, 1], algorithm='ncg' )

Any thoughts? Are there ways of forcing it to use more iterations, or something??

I've tried all sorts of initial conditions but this just won't converge. It is an easy Lagrange multipliers problem.

var("y z L") 
F(x, y, z, L) = (x-3)^2 +  (y-1)^2 +  (z 1)^2 +  L*(x^2  +  y^2  +  z^2 - 4)  
minimize(F, [4, 3, 2, 1], algorithm='ncg' )

Any thoughts? Are there ways of forcing it to use more iterations, or something??

I've tried all sorts of initial conditions but this just won't converge. It is an easy Lagrange multipliers problem.

var("y z L") 
F(x, y, z, L) = (x-3)^2 +  (y-1)^2 +  (z + 1)^2 +  L*(x^2 +  y^2 +  z^2 - 4)  
minimize(F, [4, 3, 2, 1], algorithm='ncg' )

Any thoughts? Are there ways of forcing it to use more iterations, or something??