# Questions tagged [roots]

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### Finding the roots of a function like $3+\cos(x)+0.005/(x-a)$?

I have a blackbox function that (for the purposes of this question) looks like $3+\cos(x) + 0.005/(x-a)$. The location of this $a$ is unknown (but within $0\to2\pi$). (The $3+\cos(x)$ is just a (bad) ...
82 views

### How can I practice multivariable root-finding?

Recently, I've been reading up on various root-finding / optimization algorithms such as the Levenberg-Marquardt method, Gauss-Newton, Conjugate Gradient, trust-region and trust-region-dogleg. I've ...
357 views

### Constrained Newton-Raphson root finding

Original Question I have a set of non-linear equations and I need to find the root where a subset of my solution vector is constrained to be greater than or equal to 0. I have implemented the Newton-...
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### Fastest way to find roots of second order polynomial upto single decimal point?

What is fasted way to find roots of second order polynomial up to single decimal point using a program.
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### What is an efficient way to calculate zeros of Bessel functions?

One approach is the brute force method of evaluating at all points at fixed intervals and when it nears zero write value, this can be combined with adaptive step size. Another approach is ...
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### ODE Event detection for calculating multiple roots of continuous sinusoidal equation

Hey everyone I have a paper that has a method for computing rise and set times of a satellite given a closed form solution. It is a complicated sinusoidal function and the paper has a method to ...
68 views

### Robust ways to find zeros of the Tricomi confluent hypergeometric function as a function of its parameters

I'm solving a quantum mechanical problem, and the quantization condition requires me to solve the equation $$U\left(\frac12(\ell+1-E), \ell+1, r^2\right) = 0,$$ where $U(a,b,z)$ is the confluent ...
Suppose $f(x,y)$ is a complex function of two real arguments with roots* that are not discrete points but lie in curves. (Is there are term for this characteristic?) An example is shown below: the ...