Multivariate Calculus and Optimization · 免费预览

约束优化与拉格朗日乘数

约束优化与拉格朗日乘数

1. Constrained Optimization and Lagrange Multipliers

Constrained Optimization and Lagrange Multipliers

2. Quick check: Lagrangian for an equality constraint

To minimise f(x)f(x) subject to g(x)=0g(x) = 0, the Lagrangian is

3. Constrained Optimization and Lagrange Multipliers (2)

Constrained Optimization and Lagrange Multipliers (2)

4. Constrained Optimization and Lagrange Multipliers (3)

Constrained Optimization and Lagrange Multipliers (3)

5. Constrained Optimization and Lagrange Multipliers (4)

Constrained Optimization and Lagrange Multipliers (4)

6. Constrained Optimization and Lagrange Multipliers (5)

Constrained Optimization and Lagrange Multipliers (5)

7. Gradient condition at a constrained optimum

At a constrained minimum, the objective's gradient is ______ to the constraint's gradient.

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