Optimizing

The art of finding things like:

• Highest point on a mountain
• Greatest possible income
• Minimal amount of expenses
• …

Mathematical Optimization

This often revolves around discovering critical points. Critical points include:

• zero-points
• extremal-points

A point is definitionally a extremal point when the derrivative is zero. There are different types of critical points depending on their nature:

• Global maximum
• Local maximum
• Sadle-point? (good ingles)
• Local minimum
• Global minimum

Finding Critical points

Hessematrise er en diagnoalmatrise på kritiske punkter Egenverdiene til hessematrisen Andrederrivert-testen