Duality Course
Build expertise in linear programming duality starting from basics. Link linear algebra concepts, dual spaces, and shadow prices, while solving primal-dual models for practical planning and optimisation challenges. Perfect for mathematics experts seeking advanced insights and refined modelling abilities in higher dimensions.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course offers a straightforward guide from setting up linear programmes to grasping their dual forms. Learners will represent models using matrices, construct primal-dual pairs, and link dual variables to shadow prices. With practical examples, you will tackle small problems, confirm strong duality and complementary slackness, and apply dual theory to real-world optimisation effectively.
Elevify advantages
Develop skills
- Model linear programmes in matrix notation by extracting A, b, c from constraints swiftly.
- Construct dual programmes from primal ones using sign conventions and explain shadow prices.
- Apply dual spaces by viewing matrix rows as linear functionals and pricing mechanisms.
- 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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