feat: add lapack/base/dgttrf

[aayush0325]

Description

What is the purpose of this pull request?

This pull request:

• adds lapack/base/dgttrf

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No.

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• Read, understood, and followed the contributing guidelines.

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@stdlib-js/reviewers

[stdlib-bot]

Coverage Report

Package	Statements	Branches	Functions	Lines
lapack/base/dgttrf	$\color{green}457/457$ $\color{green}+100.00\%$	$\color{green}29/29$ $\color{green}+100.00\%$	$\color{green}3/3$ $\color{green}+100.00\%$	$\color{green}457/457$ $\color{green}+100.00\%$

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

[aayush0325]

/stdlib update-copyright-years

[aayush0325]

import numpy as np
from scipy.linalg.lapack import dgttrf

n = 9
dl = np.array([3.0] * 8, dtype=np.float64)
d = np.array([1.0] * 9, dtype=np.float64)
du = np.array([4.0] * 8, dtype=np.float64)

dl, d, du, du2, ipiv, info = dgttrf(dl, d, du)

testing all values against the scipy implementation.

[aayush0325]

added the equation tags in the readme :)

cc: @kgryte

[kgryte]

/stdlib merge

[aayush0325]

ready for a final review @kgryte!

[kgryte]

LGTM after clean-up.