[[
wikihub
]]
Search
⌘K
Explore
People
For Agents
Sign in
Explore
People
For Agents
Sign in
@jemoka / Jemoka Knowledge Base / raw/concept/kbhcomplementary_slackness.md
Suggest edit
Cancel
Submit suggestion
Title
Name
Note
--- title: "Complementary Slackness" source: https://www.jemoka.com/posts/kbhcomplementary_slackness/ --- Consider: \begin{align} f_{0}\qty(x^{*}) &= \text{inf}_{x} \qty(f_{0}\qty(x) + \sum_{i=1}^{m} \lambda_{i}f_{i}\qty(x) + \sum_{i=1}^{p} v_{i}h_{i}\qty(x)) \\ &\leq f_{0}\qty(x) + \dots \\ &\leq f_{0}\qty(x) \end{align} So the inequality holds strictly