```markdown
**Total Number of Newton Iterations (Excluding First Centering Step)**

The image presents a formula and a graph related to the total number of Newton iterations:

### Formula
\[
\# \text{Newton iterations} \leq N = \left\lceil \frac{\log(m/(t^{(0)}\epsilon))}{\log \mu} \right\rceil \left( \frac{m(\mu - 1 - \log \mu)}{\gamma} + c \right)
\]

### Graph
- **Axes**:
  - Horizontal: \(\mu\), ranging approximately from 1 to 1.2.
  - Vertical: \(N\), ranging from 0 to \(5 \times 10^4\).

- **Plot**: A curve showing the relationship between \(N\) and \(\mu\).

### Annotations
- The figure illustrates \(N\) for typical values of \(\gamma\) and \(c\).
- Parameters: \(m = 100\), \(\frac{m}{t^{(0)}\epsilon} = 10^5\).

### Observations
- Confirms trade-off in the choice of \(\mu\).
- In practice, the number of iterations is in the tens and is not very sensitive for \(\mu \geq 10\).

**Source**: A. d'Aspremont, Convex Optimization M2.
```
