strong duality

Strong duality is a concept in optimization where the best possible solution to a problem (called the primal problem) has a direct, equal counterpart in a related problem (called the dual problem). When strong duality holds, solving either problem gives the same optimal value, and the relationship between them helps verify solution quality and interpret results. It is a key property ensuring that analyzing the problem from different angles yields consistent and reliable solutions, facilitating more efficient and insightful decision-making in complex optimization scenarios.