Duality Course
Build expertise in linear programming duality starting from basics. Link linear algebra, dual spaces, and shadow prices while solving primal-dual models for optimization and planning. Perfect for math professionals seeking advanced insights and refined modeling abilities. Enrich your toolkit with hands-on verification of duality principles and practical applications in higher dimensions.

4 to 360h flexible workload
certificate valid in your country
What will I learn?
This course provides a practical guide from primal linear programming formulation to dual interpretation. Learners will represent models in matrix form, construct primal-dual pairs, and link dual variables to shadow prices. Using targeted examples, participants solve small systems, confirm strong duality and complementary slackness, and apply dual theory to real-world problem-solving.
Elevify advantages
Develop skills
- Model linear programs in matrix notation by extracting A, b, c from constraints.
- Construct dual problems from primal forms using sign conventions and shadow price meanings.
- Interpret dual spaces with rows of A as linear functionals and pricing mechanisms.
- Hand-solve compact primal-dual systems and validate strong duality plus slackness.
- Apply duality concepts to production planning and optimization in multidimensional spaces.
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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