MAT341 (Computational Math): Visualization of Multivariable Newton's Method

Visualization of Multivariable Newton's Method converging towards a critical point when applied to the function:

f(x,y) = -sin(x) - cos(y)

for 4 different initial values. Each of these initial values results in the algorithm converging towards a different critical point!

Highlights:
1. Not always obvious which critical point will be found, given an initial point.
2. Multivariable Newton's Method can converge to maxima, minima, or even saddle-points!

*** NOTE: Due to rotating the surf plot (left), the (x,y) point values may look a little funky when compared to the contour plot (right).