Add basic matrix factorizations

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Assessment

Difficulty
5/5
Estimated time
Over a week
Newbie friendliness
25/100
Issue type
Feature
Clarity
Mostly clear
Activity status
Stale
Tech stack
csharp
Domain
backend

Research direction

The issue names no files, tests, or entry points. Start by locating the matrix APIs and existing size-specific math routines, then define the scope for QR, LU, Cholesky/LDLt, and EVD; done means these core factorizations are implemented and covered by appropriate numerical checks.

Written by the indexing model from the issue text.

Description

Something I find myself wanting a lot is a few core factorization utilities, particularly the QR, LU, Cholesky/LDLt, and EVD factorizations. These factorizations are extremely useful for computing properties about matrices or avoiding the computation of inverses while maintaining numerical stability. Fast, size-specific, implementations of these core factorization routines would be extremely useful for a number of tasks.

Dominant language
C#
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