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Duality Course

Duality Course
from 4 to 360h flexible workload
valid certificate in your country

What will I learn?

This course offers 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 programs 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 check strong duality plus slackness conditions.
  • Apply duality theory to gain insights for production planning problems in n-dimensional space.

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.
Workload: between 4 and 360 hours

What our students say

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