Newton-Raphson finds roots using tangent-line updates from a current estimate.
What Is Newton-Raphson Method?
Newton-Raphson finds roots using tangent-line updates from a current estimate.
Examples of Newton-Raphson Method
1
For x²−2=0, xₙ₊₁=(xₙ+2/xₙ)/2.Formula and Key Points
Formula / rule
xₙ₊₁=xₙ−f(xₙ)/f′(xₙ)
- Know the definition and standard notation for Newton-Raphson Method.
- Be able to recognise or compute newton-raphson method in a small example.
- Connect the concept to nearby topics in the same subject before using it in larger CSE problems.
Why This Matters in Computer Science
Used when software must approximate roots, integrals, equations or other quantities that have no convenient exact solution.
Related Math Terms
Newton-Raphson Method: Frequently Asked Questions
What is Newton-Raphson Method?
Newton-Raphson finds roots using tangent-line updates from a current estimate.
Why is Newton-Raphson Method useful in computer science?
Used when software must approximate roots, integrals, equations or other quantities that have no convenient exact solution.