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Tagged with polynomials numpy
5 questions
0
votes
1
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190
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Solving a polynomial with NumPy
I'm trying to do something that I thought would be very straightforward but somehow I'm struggling.
I have a time series and I want to extrapolate it, assuming a linear trend, to forecast when will it ...
user782
2
votes
0
answers
102
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Is the numerical resolution of this huge sparse polynomial system tractable?
I'd like to find numerically a solution to a sparse system of 2000000 polynomial equations of degree 3 with 50000 variables and integer coefficients (or at least to decide whether or not a solution ...
6
votes
1
answer
509
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roots of polynomials with small coefficients
I would like to compute the roots of a polynomial with exponentially small coefficients.
$$ \sum_{n=0}^N a_n \frac{z^n}{\sqrt{n!}} \tag{$\ast$}$$
where $a_n$ are Normal random variables with mean $0$...
- 957
0
votes
1
answer
927
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roots of polynomials of high degree: LinAlgError: Eigenvalues did not converge
I wrote a simple script to generate random polynoimals $\displaystyle f(z)= \sum_{k=0}^N a_k \frac{z^k}{\sqrt{k!}} $ of high degree and find their roots. For more discussion on random polyomials see ...
- 957
5
votes
1
answer
2k
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Rational functions in Python
I would like use Python to verify the following identities:
$ \frac{1}{1-z} = 1 + z + z^2 + z^3 + \dots $
$ \frac{1}{1-z - z^2} = 1 + z + 2z^2 + 3z^3 + \dots $
$ q \prod_{n \geq 1} (1 - q^n)^{24} = ...
- 957