Duality Course
Build expertise in linear programming duality starting from basics. Link linear algebra concepts, dual spaces, and shadow prices while solving primal-dual problems for practical planning and optimization. Perfect for mathematics experts seeking advanced insights and refined modeling abilities 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 programs to understanding their dual forms. Learners will represent problems using matrices, create primal-dual pairs, and link dual variables to shadow prices. With practical examples, you will tackle small problems, confirm strong duality and complementary slackness, and apply dual theory to real-world optimization effectively.
Elevify advantages
Develop skills
- Model linear programs in matrix notation by identifying A, b, and c from constraints swiftly.
- Construct dual problems from primal ones using sign conventions and explain shadow prices clearly.
- Interpret dual spaces where matrix rows act as linear functionals and pricing mechanisms.
- Hand-solve compact primal-dual linear programs and validate strong duality plus slackness conditions.
- Apply duality concepts to gain insights into production planning within multidimensional spaces.
Suggested summary
Before starting, you can change the chapters and 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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