```markdown
### Eigenvalue Minimization

**Objective:**
- Minimize \( \lambda_{\text{max}}(A(x)) \)

**Where:**
- \( A(x) = A_0 + x_1 A_1 + \cdots + x_n A_n \)
  - Given \( A_i \in \mathcal{S}^k \)

**Equivalent SDP:**
- Minimize \( t \)
- Subject to \( A(x) \preceq tI \)

**Details:**
- **Variables:** \( x \in \mathbb{R}^n, \, t \in \mathbb{R} \)
- **Follows From:** 
  - \( \lambda_{\text{max}}(A) \leq t \iff A \preceq tI \)

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*Reference: A. d'Aspremont, Convex Optimization M2, Slide 66/67.*
```