# Tagged Questions

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### Fitting noise with Levenberg–Marquardt algorithm

I've got a sample of noise from a microphone, and I'm trying to fit a curve to the data using the Levenberg–Marquardt algorithm. However, I can't seem to find a good starting function. I've tried a ...
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### Does having a zero eigenvalue preclude a matrix from being indefinite?

If a $3\times3$ matrix has a positive eigenvalue, a negative eigenvalue, and a zero eigenvalue, is it then, by definition, indefinite? I think so, since the matrix has both a positive and a negative ...
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Let $f: X \times Y \rightarrow \mathbb{R}$ be a continuous function, where $X \subset \mathbb{R}^n$ and $Y \subset \mathbb{R}^m$ are compact sets. Say under which conditions we have that $$\max_{x ... 0answers 45 views ### equivalence between primitive and dual I have a problem about the duality gap of the primitive problem and the dual problem. This problem comes from a probabilistic model named Lagrangian UVM. As this figure shows, this is a trinomial ... 1answer 266 views ### Generating a random monotonically increasing polynomial? Given a polynomial y : \mathbb{R} \mapsto \mathbb{R} of degree p:$$ y(x) = \sum_{k=0}^p c_k\, x^k, can a random set of coefficients $\{c_0, \cdots ,c_p\}$ be generated such that $y$ is ...
Motivation: Example. To solve a problem on evaluating the maximum of a product of $n$ real variables subject to an equality constraint on its sum $S$ ($=100$), I used the Lagrange multipliers method ...