feat: add lapack/base/dgttrf

[coehemang]

Progresses #2464

Description

What is the purpose of this pull request?

This pull request:

• Adds an implementation of the dgttrf routine, which performs LU factorization of a real tridiagonal matrix using partial pivoting and row interchanges.
• Implements the function as per LAPACK’s DGTTRF routine, storing the factorized components (L and U) in-place in the original input arrays.
• Prepares groundwork for corresponding solver routines such as dgttrs.

Related Issues

Does this pull request have any related issues?

This pull request:

• Progresses [RFC]: add LAPACK routines #2464

Questions

Any questions for reviewers of this pull request?

No.

Other

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Test cases are passing with also test cases checked through fixtures

Example file

benchmark run :

Checklist

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• Read, understood, and followed the contributing guidelines

---

@stdlib-js/reviewers

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[kgryte]

@coehemang As an FYI, it looks like there is already a PR up for review for dgttrf: #5754

[stdlib-bot]

Coverage Report

Package	Statements	Branches	Functions	Lines
lapack/base/dgttrf	$\color{red}198/227$ $\color{green}+87.22\%$	$\color{red}39/48$ $\color{green}+81.25\%$	$\color{green}1/1$ $\color{green}+100.00\%$	$\color{red}198/227$ $\color{green}+87.22\%$

The above coverage report was generated for the changes in this PR.

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[ShabiShett07]

Hello @coehemang, I think there is a PR #5754 for this package

[coehemang]

Hello @coehemang, I think there is a PR #5754 for this package

oh i see i should close this than