numerical-linear-algebra-toolkit

High-performance numerical linear algebra operations

509 stars

Best use case

numerical-linear-algebra-toolkit is best used when you need a repeatable AI agent workflow instead of a one-off prompt.

High-performance numerical linear algebra operations

Teams using numerical-linear-algebra-toolkit should expect a more consistent output, faster repeated execution, less prompt rewriting.

When to use this skill

  • You want a reusable workflow that can be run more than once with consistent structure.

When not to use this skill

  • You only need a quick one-off answer and do not need a reusable workflow.
  • You cannot install or maintain the underlying files, dependencies, or repository context.

Installation

Claude Code / Cursor / Codex

$curl -o ~/.claude/skills/numerical-linear-algebra-toolkit/SKILL.md --create-dirs "https://raw.githubusercontent.com/a5c-ai/babysitter/main/library/specializations/domains/science/mathematics/skills/numerical-linear-algebra-toolkit/SKILL.md"

Manual Installation

  1. Download SKILL.md from GitHub
  2. Place it in .claude/skills/numerical-linear-algebra-toolkit/SKILL.md inside your project
  3. Restart your AI agent — it will auto-discover the skill

How numerical-linear-algebra-toolkit Compares

Feature / Agentnumerical-linear-algebra-toolkitStandard Approach
Platform SupportNot specifiedLimited / Varies
Context Awareness High Baseline
Installation ComplexityUnknownN/A

Frequently Asked Questions

What does this skill do?

High-performance numerical linear algebra operations

Where can I find the source code?

You can find the source code on GitHub using the link provided at the top of the page.

SKILL.md Source

# 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

Related Skills

redux-toolkit

509
from a5c-ai/babysitter

Redux Toolkit patterns including slice creation, async thunks, RTK Query, state normalization, and DevTools integration.

cuda-toolkit

509
from a5c-ai/babysitter

Deep integration with NVIDIA CUDA toolkit for kernel development, compilation, and debugging. Execute nvcc compilation with optimization flags analysis, generate and validate CUDA kernel code, analyze PTX/SASS assembly output, and configure execution parameters.

unity-ui-toolkit

509
from a5c-ai/babysitter

Unity UI Toolkit skill for runtime UI development, USS styling, UXML templates, and custom visual elements.

scipy-optimization-toolkit

509
from a5c-ai/babysitter

SciPy scientific computing skill for numerical optimization, integration, and signal processing in physics

sympy-computer-algebra

509
from a5c-ai/babysitter

Symbolic computation using SymPy for Python-based mathematical analysis

sensitivity-analysis-toolkit

509
from a5c-ai/babysitter

Comprehensive sensitivity analysis for optimization

robust-statistics-toolkit

509
from a5c-ai/babysitter

Robust statistical methods resistant to outliers

nonlinear-optimization-solver

509
from a5c-ai/babysitter

Solve general nonlinear optimization problems

linear-program-modeler

509
from a5c-ai/babysitter

Mathematical programming skill for formulating and solving linear programming models for resource allocation, production planning, and capacity optimization.

probabilistic-analysis-toolkit

509
from a5c-ai/babysitter

Analyze randomized algorithms with probability theory tools and concentration inequalities

linearizability-checker

509
from a5c-ai/babysitter

Check linearizability of concurrent data structure implementations

linear-programming-solver

509
from a5c-ai/babysitter

Linear programming skill for resource allocation, scheduling, and optimization problems