'Newton-Raphson method for multiple variables' Video Lecture

Newton-Raphson method for multiple variables

  • Course: Design and Optimization of Energy systems
  • Discipline: Mechanical Engineering
  • Faculty: Prof. C. Balaji
  • Institute: IIT Madras

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    Course Video Lectures Introduction to Optimization System Design and Analysis Workable system System simulation Information flow diagrams Successive substitution method Successive substitution method contd Successive substitution method and Newton-Rap.. Newton-Raphson method contd Convergence characteristics of Newton-Raphson.. Newton-Raphson method for multiple variables Solution of system of linear equations Introduction to Curve fitting Example for Lagrange interpolation Lagrange interpolation contd Best fit Least Square Regression Least Square Regression contd Least Square Regression contd Non-linear Regression (Gauss - Newton Algori.. Optimization- Basic ideas Properties of objective function and cardinal.. Unconstrained optimization Constrained optimization problems Mathematical proof of the Lagrange multiplier.. Test for Maxima/ Minima Handling in-equality constraints Kuhn-Tucker conditions contd Uni-modal function and search methods Dichotomous search Fibonacci search method Reduction ratio of Fibonacci search method Introduction to multi-variable optimization The Conjugate gradient method The Conjugate gradient method contd Linear programming Dynamic programming Genetic Algorithms Genetic Algorithms contd Simulated Annealing and Summary
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