Niklas Z

Basically, this would also allow for outlier detection in a next step.

@paucablop You are highly welcome 😸 Yes, it's a lot of files. I'm sorry it turned so big 😅 Take all the time you need and just ping me for...

I want to give special credits and thanks for the support by Guillaume Biessy, the author of [Revisiting Whittaker-Henderson Smoothing](https://arxiv.org/pdf/2306.06932) which is - as far as I'm aware - the...

@paucablop I'm done with the renaming of all the variables and functions to make them more readable. Besides, I also added a [tiny cheatsheet for testing with `pytest` as a...

@paucablop Just wanted to mention that this issue could become obsolete if [this `scipy` issue](https://github.com/scipy/scipy/issues/22468) would be implemented. The authors of the article linked in the initial issue description propose...

Wow, great to see this made it into `chemotools`! 🤩 Nice job! 🤩

In the implementation, I forgot the special case of a diagonal matrix and a tridiagonal matrix. For the diagonal case (`l_and_u = (0, 0)`), there is not much to be...

## Functions finalized I added the tridiagonal and diagonal solver now and updated the initial post in this issue. ## Additional questions that came up While testing it, I noted...

@ewmoore @WarrenWeckesser I tagged you because you were involved in the bug fix / maintenance of [these lines](https://github.com/scipy/scipy/blob/v1.14.0/scipy/linalg/_basic.py#L459-L462): ```python if a1.shape[-1] == 1: b2 = np.array(b1, copy=(not overwrite_b)) b2 /=...

The use of orthogonal polynomial basis functions is also briefly described in [this Wikipedia article](https://en.wikipedia.org/wiki/Savitzky%E2%80%93Golay_filter#Use_of_orthogonal_polynomials). Their Vandermonde matrix product $\mathbf{V}^{T}\cdot \mathbf{V}$ is diagonal (due to orthogonality), so the evaluation of...