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Lecture
Bisection Method: Example
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Bisection Method: Iterative Search for Zeros
Covers the bisection method for finding zeros of continuous functions through iterative narrowing of intervals.
Electrical Circuit: Fixed Point Methods
Explores applying fixed point methods to solve electrical circuit equations and find diode voltage.
Newton's Method: Convergence and Applications
Covers the convergence of Newton's method and its applications in numerical analysis.
Numerical Methods: Iterative Techniques
Covers open methods, Newton-Raphson, and secant method for iterative solutions in numerical methods.
Jacobi and Gauss-Seidel methods
Explains the Jacobi and Gauss-Seidel methods for solving linear systems iteratively.
Non-linear Equations: Dichotomy Method
Explores non-linear equations using the dichotomy method for finding zeros with tolerance.
Numerical Analysis: Newton's Method
Explores Newton's method for finding roots of nonlinear equations and its interpretation as a second-order method.
Numerical Analysis: Nonlinear Equations
Covers algorithms for solving mathematical problems approximately using a computer, including nonlinear equations and numerical approximation methods.
Descent methods and line search: Finiteness of the line search algorithm
Explores the Wolfe conditions for line search algorithms and proves the finiteness of the line search parameter.
Convergence Criteria
Discusses convergence criteria and when iteration stops, focusing on known cases and metrics attention.
