Comparison of Root-Finding Methods
Choosing your weapon: four root-finders in your bag, and three quick questions that pick the right one.
What this unit covers
Unit 3: Open Methods for Roots of Nonlinear Equations
- 1 The Newton-Raphson MethodOne guess and a slope: ride the tangent line down to the axis, and watch the correct digits double each step. · 11 min
- 2 Limitations of the Newton-Raphson MethodWhen Newton goes wrong, a flat tangent can fling you miles away. Know the traps before you start. · 3 min
- 3 The Secant Method and Fixed-Point IterationNewton without calculus: no derivative needed, because two points and a straight line do almost as well. · 6 min
- 4 Comparison of Root-Finding MethodsChoosing your weapon: four root-finders in your bag, and three quick questions that pick the right one. · 5 min