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Numerical Methods

Secant Method

The secant method approximates a root using a line through two recent function values instead of an explicit derivative.

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Meaning

What Is Secant Method?

The secant method approximates a root using a line through two recent function values instead of an explicit derivative.

The secant method approximates a root using a line through two recent function values instead of an explicit derivative.

Examples

Examples of Secant Method

1Use two starting guesses x₀ and x₁ for f(x)=0.
Understand

Formula and Key Points

Formula / rule
xₙ₊₁=xₙ−f(xₙ)(xₙ−xₙ₋₁)/(f(xₙ)−f(xₙ₋₁))
  • Know the definition and standard notation for Secant Method.
  • Be able to recognise or compute secant method in a small example.
  • Connect the concept to nearby topics in the same subject before using it in larger CSE problems.
CSE Connection

Why This Matters in Computer Science

Used when software must approximate roots, integrals, equations or other quantities that have no convenient exact solution.

FAQ

Secant Method: Frequently Asked Questions

What is Secant Method?

The secant method approximates a root using a line through two recent function values instead of an explicit derivative.

Why is Secant Method useful in computer science?

Used when software must approximate roots, integrals, equations or other quantities that have no convenient exact solution.