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Halley's method
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Newton Method: Convergence Analysis
Explores the Newton method for root finding and its convergence analysis, including the modified Newton method.
Fixed Point Methods
Explores fixed point methods for function solutions and non-linear systems.
Numerical Analysis: Newton's Method
Explores Newton's method for finding roots of nonlinear equations and its interpretation as a second-order method.
Nonlinear Equations: Bisection Method
Covers the bisection method for solving nonlinear equations with continuous functions and root finding examples in diode circuits.
Bisection Method: Proposition and Demonstration
Covers the bisection method proposition and its demonstration for finding roots.
Coppersmith's Method: Small Roots of Polynomials Mod N
Covers Coppersmith's method for finding small roots of polynomials modulo N efficiently.
Nonlinear Equations: Bisection Method
Introduces root finding using the bisection method for nonlinear equations, illustrated with a three-tanks system example.
Nonlinear Equation Resolution: Introduction to Bisection Method
Introduces the bisection method for resolving nonlinear equations using numerical techniques and Python programming.
Bisection Method
Covers the bisection method for finding function roots within intervals and its geometric interpretation.