Duality Course
Build expertise in linear programming duality starting from basics. Link linear algebra, dual spaces, and shadow prices, then work through primal-dual problems for genuine planning and optimisation challenges. Perfect for maths pros seeking greater understanding and refined modelling abilities.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This course provides a straightforward, hands-on guide from setting up linear programs to fully understanding their dual forms. You'll represent models using matrices, construct primal-dual pairs, and link dual variables to shadow prices. With targeted examples, you'll tackle small problems, confirm strong duality and complementary slackness, and turn theoretical dual concepts into practical optimisation skills.
Elevify advantages
Develop skills
- Model linear programs in matrix notation: swiftly pull out A, b, c from constraints.
- Construct duals from primal problems: follow sign conventions and explain shadow prices.
- Apply dual space concepts: view A's rows as linear functionals and pricing mechanisms.
- Hand-solve compact primal-dual linear programs and check strong duality plus 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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