Add LU solver documentation

[mgovers]

• Add LU solver documentation
  • Rationale
  • Implementation

[mgovers]

@TonyXiang8787 this is ready for a first review round. I will spend some time tomorrow on going through all the documentation from start to finish myself as well to check if the structure still makes sense, but some feedback would be nice as well at this stage.

[Jerry-Jinfeng-Guo]

Up until Block-sparse LU-factorization

[Jerry-Jinfeng-Guo]

Up to Pivot perturbation

[TonyXiang8787]

@mgovers I have resolved all my previous comments. But I think I made a mistake to propose using mathbb for matrix symbol. What I meant is actually mathbf. We usually use mathbb for set notations.

[Jerry-Jinfeng-Guo]

This is my final sprint in this review. I will try and go over the comments from my previous reviews but I believe if there is a matter opinion difference, you can proceed by resolving mine. If I made a factual mistake in certain comment, you can also resolve them directly.

[mgovers]

@mgovers I have resolved all my previous comments. But I think I made a mistake to propose using mathbb for matrix symbol. What I meant is actually mathbf. We usually use mathbb for set notations.

While a very small change, I believe it makes the difference between matrices and vectors almost disappear, and even more so for vectors of matrices. E.g.:

vs

what do you propose?

[figueroa1395]

@mgovers I have resolved all my previous comments. But I think I made a mistake to propose using mathbb for matrix symbol. What I meant is actually mathbf. We usually use mathbb for set notations.

While a very small change, I believe it makes the difference between matrices and vectors almost disappear, and even more so for vectors of matrices. E.g.:

vs

what do you propose?

Even though you have a point, I find the new "font" more aesthetic and easier on the eyes. That is probably subjective, but I would keep the new version.

[mgovers]

@mgovers I have resolved all my previous comments. But I think I made a mistake to propose using mathbb for matrix symbol. What I meant is actually mathbf. We usually use mathbb for set notations.

While a very small change, I believe it makes the difference between matrices and vectors almost disappear, and even more so for vectors of matrices. E.g.:
vs
what do you propose?

Even though you have a point, I find the new "font" more aesthetic and easier on the eyes. That is probably subjective, but I would keep the new version.

cfr. this and offline discussion with tony: \boldsymbol for vectors, \mathbf for matrices. Block-vectors are also matrices and therefore are also represented as \mathbf

[mgovers]

Since all other comments are resolved, I will now do the git mv cfr.
#890 (comment)

[mgovers]

IT'S HAPPENING

[sonarqubecloud]

Quality Gate passed

Issues
0 New issues
0 Accepted issues

Measures
0 Security Hotspots
0.0% Coverage on New Code
0.0% Duplication on New Code

See analysis details on SonarQube Cloud