linear-solvers

linear-solvers is a Physics, mathematics & simulation skill for AI agents, published by HeshamFS in the materials-simulation-skills repository on GitHub. Skillspace rates linear-solvers F (45/100) and the safety scan rated it risky; the rating is based on static analysis only.

Select and configure linear solvers for Ax=b systems arising in numerical simulations — choose between direct (LU, Cholesky) and iterative (CG, GMRES, BiCGSTAB, MINRES) methods, analyze sparsity patterns and matrix conditioning, recommend preconditioners (AMG, ILU, IC), apply row/column scaling, and diagnose convergence stagnation from residual histories. Use when setting up a linear solve for FEM/FVM assembly, debugging slow or stalled Krylov iterations, choosing a preconditioner for SPD or nonsymmetric systems, or investigating ill-conditioning, even if the user only says "my solver is slow" or "GMRES won't converge."

Grade
F
Quality
45 / 100
Safety
Risky
GitHub stars
59

Unproven: rated by static analysis only, not yet compared head-to-head.

This rating describes the version of the repository we crawled; it may have changed since.

Our review

Architecture
81 / 100
Maturity
Structured: ships references or scripts
Security scan
High-risk patterns
License
Apache-2.0
Adoption
Adopted by 0 other repositories, in 0 collections

What the scanner flagged

  • dynamic code execution (eval/exec)

Not checked yet

  • Not judged on the rubric yet (not a contender in its category)
  • No blind task eval yet
  • Scope (portable / vendor / repo-internal) not assessed; only the top of each category is read for scope
  • Sibling files (scripts, references) not fetched; security scan covers SKILL.md only

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