# Numerical Linear Algebra Toolkit

> High-performance numerical linear algebra operations

- Skill: `a5c-ai/numerical-linear-algebra-toolkit` (Agent Skill)
- Install (CLI): `npx skillmds@latest add a5c-ai/numerical-linear-algebra-toolkit`
- Raw SKILL.md: https://api.skillmd.com/api/skills/a5c-ai/numerical-linear-algebra-toolkit/raw
- Safety review: pending (external: skill-scanner PASS, skillspector PASS)
- Works with: Claude Code, Claude.ai, OpenAI Codex
- Category: Coding & Dev Tools
- Author: a5c-ai (https://skillmd.com/u/a5c-ai)
- Updated: 2026-09-09
- Page: https://skillmd.com/skills/a5c-ai/numerical-linear-algebra-toolkit

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# Numerical Linear Algebra Toolkit

## Purpose

Provides high-performance numerical linear algebra operations for scientific computing and mathematical analysis.

## Capabilities

- Matrix decompositions (LU, QR, SVD, Cholesky, Schur)
- Eigenvalue/eigenvector computation
- Sparse matrix operations
- Iterative solvers (CG, GMRES, BiCGSTAB)
- Condition number estimation
- Error analysis and bounds

## Usage Guidelines

1. **Decomposition Selection**: Choose appropriate factorization for the problem
2. **Sparsity Exploitation**: Use sparse formats for large sparse matrices
3. **Iterative Methods**: Apply iterative solvers for very large systems
4. **Conditioning**: Assess and monitor condition numbers

## Tools/Libraries

- LAPACK
- BLAS
- SuiteSparse
- Eigen