Questions tagged [roots]
The roots tag has no usage guidance.
7
questions with no upvoted or accepted answers
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Finding the smallest root of a function on $[0, \infty)$
I would like to find the smallest real root of a 1-D real-valued function $f(x)$ on the domain $x\in [0,\infty)$. In this problem, I can make the following guarantees on $f$:
$f$ does have a root at ...
- 735
5
votes
0
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783
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Finding roots of systems of equations with a Jacobian that is singular everywhere
Given $a\in\mathbb{R}^{mn\times n}$, find a $C\in\mathbb{R}^{n}$, $x\in\mathbb{R}^{m\times n}$ such that
$$
0 = f_{k}(\boldsymbol{C}, \boldsymbol{x}):=\sum_{i=1}^{m} C_{i} \left(\prod_{j=1}^{n} a_{kj}^...
- 529
3
votes
0
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80
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Sufficient condition for real roots of a polynomial of order $n>5$ with arbitrary real coefficients
I ask for help in solving the problem. I am developing an optimization program that selects the coefficients of a polynomial of order $n> 5$ so that all its zeros are just real numbers. And I ...
- 131
2
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71
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Solving a nonlinear equation with a Markov process and RVs
Assume that we have the following equation and the following assumption. The scope is to solve for some particular variables expressed later.
Update
$$E_{t}\left[ b(A_{t+1})^{1-\gamma} *R_{t+1}^{-\...
- 235
1
vote
0
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116
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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 ...
- 11
1
vote
0
answers
52
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Calculating fixed point inside limit cycle
So I'm working with a rather complicated dynamical system. Instead of writing it all out. It's probably easier if you just clone my git repository.
...
- 111
0
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46
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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.
- 101