Beale function, acc=0.0001 :
start point =       3.1        0.6 
newton : calls=70 steps=5 f=6.1004e-14 p=         3        0.5 
newton2: calls=103 steps=5 f=3.4896e-14 p=         3        0.5 

Rosenbrock's valley function: newton
start point:        -3         -4 
nsteps=29  ncalls=392
minimum    :         1          1 
f(x_min)          = 4.221472E-10
|gradient| goal   = 0.0001
|gradient| actual = 2.334937E-05
test passed

Rosenbrock's valley function: newton2
start point:        -3         -4 
nsteps=29  ncalls=521
minimum    :         1          1 
f(x_min)          = 1.429816E-10
|gradient| goal   = 0.0001
|gradient| actual = 1.039765E-06
test passed

Himmelblau's function: newton
start point:         5          3 
nsteps=5  ncalls=69
minimum    :         3          2 
f(x_min)          = 5.871264E-14
|gradient| goal   = 0.0001
|gradient| actual = 4.053574E-06
test passed

Himmelblau's function: newton2
start point:         5          3 
nsteps=5  ncalls=102
minimum    :         3          2 
f(x_min)          = 2.044813E-13
|gradient| goal   = 0.0001
|gradient| actual = 9.693626E-07
test passed