Agent skill

numerical-linear-algebra-toolkit

High-performance numerical linear algebra operations

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Install this agent skill to your Project

npx add-skill https://github.com/a5c-ai/babysitter/tree/main/library/specializations/domains/science/mathematics/skills/numerical-linear-algebra-toolkit

Metadata

Additional technical details for this skill

phase
6
domain
science
category
numerical-analysis
specialization
mathematics

SKILL.md

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

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