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 optimisation and planning in real scenarios. Perfect for maths experts seeking greater understanding and refined modelling prowess.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This course provides a straightforward journey from setting up linear programmes to grasping 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 solving abilities.
Elevify advantages
Develop skills
- Model linear programmes in matrix notation: swiftly derive A, b, c from constraints.
- Construct duals from primal problems: follow sign conventions and explain shadow prices.
- Apply dual space concepts: view matrix rows as linear functionals and pricing tools.
- Hand-solve compact primal-dual linear programmes 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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