Duality Course
Gain expertise in linear programming duality starting from basics. Link linear algebra, dual spaces, and shadow prices, then work through primal-dual problems for practical planning and optimisation. Perfect for mathematics experts seeking profound understanding and refined modelling techniques in higher dimensions.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a straightforward guide from setting up linear programmes to grasping their dual forms. Learners will represent problems 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, turning theoretical concepts into real-world optimisation abilities.
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 viewing A's rows as linear functionals and pricing mechanisms.
- Hand-solve compact primal-dual linear programmes and check strong duality plus slackness.
- Convert duality theory into insights for production planning across R^n 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
FAQs
Who is Elevify? How does it work?
Do the courses have certificates?
Are the courses free?
What is the course workload?
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