Agent Skills: Convex Optimization Solver

Solve convex optimization problems efficiently

optimizationID: a5c-ai/babysitter/convex-optimization-solver

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plugins/babysitter/skills/babysit/process/specializations/domains/science/mathematics/skills/convex-optimization-solver/SKILL.md

Skill Metadata

Name
convex-optimization-solver
Description
Solve convex optimization problems efficiently

Convex Optimization Solver

Purpose

Provides capabilities for formulating and solving convex optimization problems efficiently and reliably.

Capabilities

  • Linear programming (LP)
  • Quadratic programming (QP)
  • Second-order cone programming (SOCP)
  • Semidefinite programming (SDP)
  • Conic optimization
  • Duality analysis

Usage Guidelines

  1. Convexity Verification: Confirm problem convexity
  2. Formulation: Express problem in standard conic form
  3. Solver Selection: Choose solver based on problem structure
  4. Duality: Extract dual variables for sensitivity analysis

Tools/Libraries

  • CVXPY
  • Gurobi
  • MOSEK
  • SCS
  • ECOS