Problem 2 posted on Apr 22. (10 points). Solve the following equality-constrained optimiza- tion problem using Newton descent algorithm with the initial point (1,4,0): min f(x, y, z) = e + 2y² +3z² x,y,z subject to x - 5z = 1 y+z=4 Compute the optimal dual variables as well.

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Problem 2 posted on Apr 22. (10 points). Solve the following equality-constrained optimiza-
tion problem using Newton descent algorithm with the initial point (1,4,0):
min f(x, y, z) = eª + 2y² +3z²
x,y,z
subject to x - 5z = 1
y+z=4
Compute the optimal dual variables as well.
Transcribed Image Text:Problem 2 posted on Apr 22. (10 points). Solve the following equality-constrained optimiza- tion problem using Newton descent algorithm with the initial point (1,4,0): min f(x, y, z) = eª + 2y² +3z² x,y,z subject to x - 5z = 1 y+z=4 Compute the optimal dual variables as well.
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