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Solve convex optimization problems efficiently
--- name: convex-optimization-solver-c8067758032c 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--- name: convex-optimization-solver-c8067758032c 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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