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Newton's method in optimization
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Related lectures (28)
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Optimization Methods
Covers optimization methods, central path algorithms, optimality conditions, and Newton's method.
Descent Methods and Newton Method with Line Search
Covers the comparison between descent methods and Newton's method, modifications, line search, and convergence analysis.
Lipschitz continuous Hessian and Newton's method
Explores the convergence of Newton's method and the CG algorithm for solving linear equations.
Newton's Method: Optimization & Indefiniteness
Covers Newton's Method for optimization and discusses the caveats of indefiniteness in optimization problems.
Higher Order Methods: Iterative Techniques
Covers higher order methods for solving equations iteratively, including fixed point methods and Newton's method.
Solving Systems of Nonlinear Equations
Covers the Newton-Raphson method, Jacobian matrix, and iterative schemes for solving nonlinear equations.
Coordinate Descent: Efficient Optimization Techniques
Covers coordinate descent, a method for optimizing functions by updating one coordinate at a time.
Conjugate Gradient Method: Iterative Optimization
Covers the conjugate gradient method, stopping criteria, and convergence properties in iterative optimization.
Finite Difference Method
Summarizes the finite difference method for solving one-dimensional limit problems.
Numerical Methods: Iterative Techniques
Covers open methods, Newton-Raphson, and secant method for iterative solutions in numerical methods.