Questions tagged [bisection]

Use this tag for questions related to the bisection method, which is a root-finding method that repeatedly bisects an interval and then selects a subinterval in which a root must lie for further processing.

The bisection method is a root-finding method that bisects an interval and then selects a subinterval in which a root must lie for further processing. It is a simple and robust method, but it is also slow, hence its use is often restricted to obtaining quickly a starting point for more rapidly-converging methods. The bisection method is also called the interval halving method, binary search method, or dichotomy method.

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Should I use input as radian to estimate root of $f(x)=x^2-\sin x$ by bisection method?

I want to estimate roots of $f(x)=x^2-\sin x$(first root is obviously $x_1=0$ and second root is in the interval $[0.5,1]$ ) using bisection method. We have trigonometry function $\sin x$ and ordinary function $x^2$ . so my question is should I put…
Etemon
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Bisection Method for functions just touching $x$-axis

For functions just above or below x-axis like $f(x)=x^2$ or $f(x)=|x|$, is there any way to use bisection methods? Is using something like $x=y+2$ and $f(y+2)=(y+2)^2$ and then solving for $y$ to finally get $x$ a good way? But how do we find the…
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Bisection-Regula falsi-Bolzano

I want to ask about these theorems in Matlab, to confirm the requirement that x1, x2 where f(x1) * f(x2) < 0 is there any way to find x1, x2 if i have the function eg. $$f(x) = \tan(x)\frac{(e^{2x} - 1)}{(e^{2x} + 1)} + 1$$ by code. Thanks
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Intervals for bisection method

I have this function below: $$f(x) = \tan(x)\frac{(e^{2x} - 1)}{(e^{2x} + 1)} + 1$$ and I want to find the intervals to use the bisection method. The first interval I think is $f(0) = 1 >0$ but i can't find the $f()<0$. Does anybody have an idea…