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Scripts' functionality

  • det_opt2.m : Identification of a local min/max from the sign of the Hessian matrix's determinants for an objective F of two variables

  • det_opt3.m : Identification of a local min/max from the sign of the Hessian matrix's determinants for an objective F of three variables

  • eigenvalues2.m : Identification of a local min/max from the sign of the Hessian matrix's eigenvalues for an objective F of two variables

  • eigenvalues3.m : Identification of a local min/max from the sign of the Hessian matrix's eigenvalues for an objective F of three variables

  • quadratic_Hessian_2.m : Identification of a local min/max from the sign of the Hessian matrix's quadratic form for an objective F of two variables

  • quadratic_Hessian_3.m : Identification of a local min/max from the sign of the Hessian matrix's quadratic form for an objective F of two variables

  • grad_descent.m : Implementation of the Steepest Descent (Grad descent) algorithm with a constant length of step (alpha), initialized in the code

  • grad_descent_Q.m : Implementation of the Steepest Descent (Grad descent) algorithm with a constant length of step (a), initialized in the code. This script is used for quadratic objective functions.

  • grad_descent_Q_alpha.m : Implementation of the Steepest Descent (Grad descent) algorithm with a variable length of step (a), which is calculated dynamically during the functionality of the algorithm. This script is used for quadratic objective functions.

  • Newton_Opt_2.m : Implementation of the Newton algorithm for an objective F of two variables

  • Newton_Opt_4.m : Implementation of the Newton algorithm for an objective F of four variables