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What is Bisection Method for Nonlinear Roots about?
1. The bisection method finds the root of a nonlinear equation f(x) = 0 by repeatedly bisecting an interval where the function changes sign until the root is determined to within a specified tolerance. 2. It starts with an initial interval [xl, xu] where f(xl) and f(xu) have opposite signs, ensuring there is a root between them. 3. It then computes the midpoint xr and evaluates f(xr). Based on the sign of f(xr), it replaces either the lower or upper bound and halves the interval. 4. It iterates until the
- Author
- Paulyn Bathan
- Language
- EN