# Dualite

Canonical: https://manyspace.aporia.systems/tr/topics/duality-mth-opt-236
Updated: 2026-10-13

Matematik · Optimization · MTH-OPT-236

- Zorluk: 3 / 5
- Önem: 5 / 5
- Çalışma süresi: 4–8.5 sa

dual problems, complementary slackness, sensitivity analysis

## Neden önemli

Choosing the best under constraints; central to operations research, ML training, engineering design and business resource allocation.

## Nerede kullanılır

Supply chains, pricing algorithms, portfolio optimization, neural network training, logistics, ad auctions.

## Öğrendiğini nasıl anlarsın

Produce working code/model + convergence/validation/error analysis.

## Önce neye ihtiyacın var

- [Doğrusal Programlar](https://manyspace.aporia.systems/tr/topics/dogrusal-programlar-mth-opt-234) (gerekli)
- [Gauss Eleme Yöntemi](https://manyspace.aporia.systems/tr/topics/gauss-eleme-yontemi-mth-linalg-155) (gerekli)
- [3B Koordinatlar ve Vektörler](https://manyspace.aporia.systems/tr/topics/3b-koordinatlar-ve-vektorler-mth-multc-168) (gerekli)

## Kaynaklar

- Introduction to Linear Programming — Bertsimas & Tsitsiklis
- Convex Optimization (Boyd & Vandenberghe) — Boyd & Vandenberghe
- Convex Optimization (Boyd & Vandenberghe) — Boyd & Vandenberghe