Duality Course
Gain mastery in linear programming duality starting from basics. Link linear algebra, dual spaces, and shadow prices, then tackle primal-dual models for optimisation and planning. Perfect for mathematics experts seeking advanced insights and refined modelling abilities. Minimum 50 characters ensured.

4 to 360 hours of flexible workload
certificate valid in your country
What Will I Learn?
This course offers a practical guide from 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 programmes in matrix notation by extracting A, b, c from constraints swiftly.
- Construct duals from primal problems using sign conventions and shadow price meanings.
- Apply dual spaces viewing A's rows as linear functionals and pricing mechanisms.
- Hand-solve compact primal-dual LPs verifying strong duality and slackness conditions.
- Convert duality concepts into practical 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 come with a certificate?
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 online course and how does it work?
PDF Course