Duality Course
Gain expertise in linear programming duality starting from basics. Link linear algebra concepts, dual spaces, and shadow prices, then tackle primal-dual models for practical planning and optimisation tasks. Perfect for mathematics experts seeking profound understanding and advanced modelling abilities in higher dimensions.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
This course offers a straightforward practical guide from setting up linear programming problems to understanding their dual forms completely. Learners will represent models using matrices, create primal-dual pairs, and link dual variables to shadow prices. With targeted examples, you will solve compact systems, confirm strong duality and complementary slackness, and apply dual theory effectively to real-world problems.
Elevify advantages
Develop skills
- Model linear programmes in matrix notation by swiftly deriving A, b, c from constraints.
- Construct dual problems from primal ones using sign conventions and explain shadow prices.
- Apply dual space concepts viewing A's rows as linear functionals and pricing mechanisms.
- Hand-solve small primal-dual linear programmes and validate 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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