# Lecture 11-3: The KKT Conditions

Download the original slides: [CMSE382-Lec11_3.pdf](CMSE382-Lec11_3.pdf)

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This is an AI-generated transcript of the lecture slides and may contain errors or inaccuracies. Please refer to the original course materials for authoritative content.
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## This Lecture

**Topics:**

- Review of KKT conditions

**Announcements:**

- HW 5 posted, due Friday, Apr 10 at 11:59pm

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### Big picture view (v2)

![](../../../figures/useful_solution_charts/KKT_conditions_summary-v2.png)

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### Sufficiency and Necessity

**Sufficient**

- All KKT points are optima.
- Optima might not be KKT points.

**Necessary**

- All optima are KKT points.
- KKT points might not be optima.

**Notes**

- If you only have sufficiency you know that any KKT point is an optimum. But you might miss some optima that are not KKT points.
- If you only have necessity you know that any optimum is a KKT point. But you might have some KKT points that are not optima.
- Best option is to have both, then you know that the KKT points are exactly the optima.