Nonlinear Optimization, MIT 6.7220 and 15.084, Spring 2025 / Lecture 7: Lagrange Multipliers and KKT Conditions (updated 2025)

Online text: ocw.mit.edu/courses/6-7220j-nonlinear-optimization-spring-2025/mit6_7220_s25_lec07.pdf

Lecture 7 course notes identify Gabriele Farina as instructor and record revisions through 15 March 2025. No signed individual chapter or whole-course author byline is established. The date is a revision date, distinct from the Spring 2025 offering.

Cited passages: Lecture 7, §L7.1.1, Definition L7.1, printed p. 3: the four KKT requirements; Lecture 7, §L7.1.3, Theorem L7.3, printed p. 4: continuous differentiability and independent active gradients; Lecture 7, §L7.1.3, Theorem L7.3, printed p. 4: independent active gradients.