Optimization Theory

  1. Computational Aspects and Software
    1. Numerical Considerations
      1. Floating Point Arithmetic
        1. Conditioning and Stability
          1. Scaling and Preconditioning
            1. Convergence Criteria
            2. Algorithm Implementation
              1. Data Structures
                1. Memory Management
                  1. Parallel Computing
                    1. GPU Acceleration
                    2. Software Tools and Libraries
                      1. Modeling Languages
                        1. AMPL
                          1. GAMS
                            1. Pyomo
                            2. Solver Interfaces
                              1. Commercial Solvers
                                1. Open Source Solvers
                                2. Performance Analysis
                                  1. Computational Complexity
                                    1. Benchmarking
                                      1. Profiling and Optimization
                                        1. Scalability Analysis

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                                      13. Applications and Case Studies

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                                      1. Foundations of Optimization