[RFC]: Add LAPACK routines for solving systems of linear equations (tracking issue)

[iampratik13]

Description

This RFC serves as a tracking issue for adding LAPACK routines for solving systems of linear equations.

Packages

• disnan
• dgbtf2
• dgbtrs
• dgeequ
• dgeequb
• dgerfs
• dgesv
• dgetf2
• dgetrf
• dgetrs
• dgtrfs
• dgtsv
• dgttrs
• dlabad
• dlagtf
• dlagtm
• dlagts
• dlaisnan
• dlaln2
• dlangt
• dlanhs
• dlansb
• dlansp
• dlanst
• dlansy
• dlantr
• dlapmr
• dlaqsp
• dlarf
• dlarnv
• dlaruv
• dlatbs
• dlatps
• dptrfs
• dpttrs
• dsprfs
• dspsv
• dsptrf
• dsptrs
• dtbtrs
• dtptrs
• dtrtrs

Related Issues

None.

Questions

No.

Other

No.

Checklist

• I have read and understood the Code of Conduct.
• Searched for existing issues and pull requests.
• The issue name begins with RFC:.

[0PrashantYadav0]

@iampratik13 Are modules here different from #2464 ?

[iampratik13]

@0PrashantYadav0 There’s some minor overlap, but the two are scoped differently. #2464 is a broader RFC covering the LAPACK computational-routine surface, while this issue focuses specifically on the routines needed for solving systems of linear equations.

Only ~9 routines overlap between the two lists, and the rest aren’t included in #2464. So this is more of a curated subset focused on the linear-solve workflow.