Duality Course
Gain mastery in linear programming duality from foundational principles. Link linear algebra, dual spaces, and shadow prices, then tackle primal-dual models for authentic planning and optimisation challenges. Perfect for mathematical professionals seeking profound insights and refined modelling proficiency.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This course provides a clear, practical pathway from linear programming formulation to comprehensive dual interpretation. Learners will represent models in matrix notation, construct primal-dual pairs, and link dual variables to shadow prices. Via targeted examples, participants solve compact systems, confirm strong duality and complementary slackness, and adeptly convert theoretical dual concepts into practical problem-solving expertise.
Elevify advantages
Develop skills
- Model linear programmes in matrix format: swiftly derive A, b, c from constraints.
- Construct duals from primal problems: employ sign conventions and elucidate shadow prices.
- Harness dual spaces: view rows of A as linear functionals and pricing mechanisms.
- Solve compact primal-dual linear programmes manually and validate strong duality plus slackness.
- Convert abstract duality theory into insights for production planning in R^n.
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
FAQs
Who is Elevify? How does it work?
Do the courses have certificates?
Are the courses free?
What is the course duration?
What are the courses like?
How do the courses work?
What is the duration of the courses?
What is the cost or price of the courses?
What is an EAD or online course and how does it work?
PDF Course