Duality Course
Gain mastery in linear programming duality starting from basics. Link linear algebra, dual spaces, and shadow prices, then tackle primal-dual models for actual planning and optimization challenges. Perfect for mathematics experts seeking profound understanding and refined modeling expertise. This comprehensive program builds confidence in duality applications across dimensions.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a straightforward practical guide from linear programming setup to complete dual analysis. Learners will represent models using matrices, construct primal-dual pairs, and link dual variables to shadow prices. With targeted examples, participants solve compact systems, confirm strong duality and complementary slackness, and effectively convert theoretical dual concepts into practical problem-solving abilities.
Elevify advantages
Develop skills
- Model linear programs in matrix notation by swiftly deriving A, b, c from constraints.
- Construct dual programs from primal ones using sign conventions and shadow price meanings.
- Apply dual space concepts viewing A rows as linear functionals and pricing mechanisms.
- Hand-solve compact primal-dual linear programs verifying strong duality and slackness.
- Convert duality theory into practical insights for production planning in n-dimensional space.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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