Constrained optimization introduction global optimization

Tutorial 3 steps, run in order in one session. Every step was executed against the engine and the output below is what it produced.

Step 1

Minimize[{x, x^2 + y^2  < 1}, {x, y}]

Output

{-1, {x -> -1, y -> 0}}

Step 2

Minimize[{x^2, x y == 1}, {x, y}]

Output

Minimize[{x^2, x*y == 1}, {x, y}]

Step 3

Minimize[{x^2 + (y - 1)^2, y > x^2}, {x, y}]

Output

{0, {x -> 0, y -> 1}}

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