Numerical Methods2D

Roots of Equations - Theory & Concepts - Secant Method

Methods for finding roots of algebraic and transcendental equations.

Finding the root of $f(x) = e^{-x} - x$ using the Secant method with initial guesses $x_{-1} = 0$ and $x_0 = 1$ .

Iteration Step: 0

Step 0 (Initial)Step 4

Previous Guess (x_i-1)

0.00000

f(x_i-1) = 1.00000

Current Guess (x_i)

1.00000

f(x_i) = -0.63212

Formula

x_{i+1} = x_i - \frac{f(x_i)(x_{i-1} - x_i)}{f(x_{i-1}) - f(x_i)}

Next Estimate (x_i+1)

0.612700

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