# Computational

> Numerical computation and algorithms

- Skill: `neuralblitz/computational` (Agent Skill)
- Install (CLI): `npx skillmds@latest add neuralblitz/computational`
- Raw SKILL.md: https://api.skillmd.com/api/skills/neuralblitz/computational/raw
- Safety review: pending (external: skill-scanner PASS, skillspector PASS)
- Works with: Claude Code, Claude.ai, OpenAI Codex
- Category: AI & ML
- License: MIT
- Author: NeuralBlitz (https://skillmd.com/u/neuralblitz)
- Updated: 2026-09-21
- Page: https://skillmd.com/skills/neuralblitz/computational

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## What I do
- Design efficient numerical algorithms
- Implement matrix computations and factorizations
- Solve linear and nonlinear systems
- Optimize computational complexity
- Handle numerical stability issues
- Implement interpolation and approximation methods

## When to use me
When writing performance-critical code or implementing numerical algorithms.

## Key Concepts
- **Big-O Notation**: Algorithm complexity classification
- **Matrix Factorizations**: LU, QR, Cholesky, SVD decompositions
- **Numerical Stability**: Condition numbers and error propagation
- **Iterative Methods**: Conjugate gradient, GMRES for large systems
- **Fast Fourier Transform**: O(N log N) algorithm for discrete Fourier transforms
- **Numerical Integration**: Trapezoidal, Simpson's, Gaussian quadrature