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Results tagged with rootfinding
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user 525243
Algorithms to approximate numerically a root of a nonlinear equation or system: for instance, Newton's method, secant method, bisection, etc.
1
vote
1
answer
94
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Finding closed form roots for pseudo-trinomial
I have the below function:
$$\pi(x) = \frac{s_0\cdot \left(1-\left(\frac{s_1}{s_1+x \cdot \lambda}\right)^{k}\right) \cdot r_1}{s_0\cdot \left(1-\left(\frac{s_1}{s_1+x \cdot \lambda}\right)^{k}\right) …
- 11
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Finding closed form roots for pseudo-trinomial
After spending some time on it, below is my proposed solution.
We can undergo another change of variables to make it a trinomial:
$t=\frac{1}{\sqrt{y}}$ and we obtain:
\begin{align}
A \cdot t^{k+1} + …
- 11