Root Finding in one Dimension
Subject classification: this is a mathematics resource. |
SummaryEdit
This course belongs to the track Numerical Algorithms in the Department of Scientific Computing in the School of Computer Science.
In this course, students will learn how to solve problems of the type numerically. Convergence rates, termination criteria and implementation details are discussed.
IntroductionEdit
- Why do we want to solve ?
- Why do we want to solve it numerically?
- Formal definition of the problem.
- Maybe a bit of history?
Binomial SearchEdit
- Derivation
- The Algorithm
- Convergence
Secant MethodEdit
- Derivation
- The Algorithm
- Convergence
- Iterative form
Iterative MethodsEdit
- Convergence rates
Newton's MethodEdit
- Derivation
- The Algorithm
- Convergence
Halley's MethodEdit
- Derivation
- The Algorithm
- Convergence
- Generalization