Root Finding

When to Use

Use this skill when working on root-finding problems in numerical methods.

Decision Tree

1. Characterize the Problem

   • Single root or multiple roots?
   • Bracketed (know interval containing root)?
   • Derivatives available?

2. Method Selection

   Situation	Method	Implementation
   Bracketed, no derivatives	Bisection, Brent	scipy.optimize.brentq
   Derivatives available	Newton-Raphson	scipy.optimize.newton