Solve convex optimization problems efficiently
Scanned 9/2/2026
Install to Claude Code
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---
name: convex-optimization-solver
description: Solve convex optimization problems efficiently
allowed-tools:
- Bash
- Read
- Write
- Edit
- Glob
- Grep
metadata:
specialization: mathematics
domain: science
category: optimization
phase: 6
graph:
domains: [domain:mathematics]
specializations: [specialization:computational-mathematics]
skillAreas: [skill-area:np-hard-heuristics, skill-area:mathematical-reasoning, skill-area:dynamic-programming]
workflows: [workflow:experiment-design]
roles: [role:computational-scientist, role:research-engineer]
---
# 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
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