On facial structure of the copositive and completely positive cones

Key Points

• Key properties of facial structures in copositive and completely positive cones are evident, indicating potential optimization opportunities.
• Key findings detail the relationships between these cones, providing valuable insights into their geometrical properties.
• Detailed analysis of facial structures was conducted to explore implications for optimization and reliability systems.
• Understanding these cones may highlight new pathways to enhance system reliability and optimization strategies.