Multivariate Calculus and Optimization · 免费预览

线性化与多元泰勒级数

线性化与多元泰勒级数

1. Linearization and Multivariate Taylor Series

Linearization and Multivariate Taylor Series

2. Quick check: First-order Taylor approximation

The linearisation of ff around x0x_0 is

3. Linearization and Multivariate Taylor Series (2)

Linearization and Multivariate Taylor Series (2)

4. Linearization and Multivariate Taylor Series (3)

Linearization and Multivariate Taylor Series (3)

5. Linearization and Multivariate Taylor Series (4)

Linearization and Multivariate Taylor Series (4)

6. Linearization and Multivariate Taylor Series (5)

Linearization and Multivariate Taylor Series (5)

7. Linearization and Multivariate Taylor Series (6)

Linearization and Multivariate Taylor Series (6)

8. Linearization and Multivariate Taylor Series (7)

Linearization and Multivariate Taylor Series (7)

9. Hessian in the quadratic term

The second-order Taylor term of f:Rn→Rf: \mathbb{R}^n \to \mathbb{R} involves

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