Modern C++ enables solving mathematical optimization problems at compile time using constexpr capabilities. The matrix chain multiplication problem demonstrates how to implement efficient dynamic programming algorithms that run during compilation, using fixed-size containers like std::array. The approach calculates optimal matrix multiplication ordering to minimize scalar operations, with compile-time optimization generating constant results that enable more efficient code generation.

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Matrix chain multiplicationSetting up the dynamic programming problemSolving it with dynamic programming: the algorithmThe codeConclusionReferences

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