Root-finding algorithms

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Related lectures (29)

Root Finding Methods: Bisection and Secant Techniques

Covers root-finding methods, focusing on the bisection and secant techniques, their implementations, and comparisons of their convergence rates.

Attack on RSA using LLL

Covers Coppersmith's method for attacking RSA encryption by efficiently finding small roots of polynomials modulo N.

Bisection Method, Newton Method

Covers the Bisection Method and Newton Method for solving nonlinear equations using interval splitting and tangent lines.

Bisection Method: Approximating Zeros of Functions

Covers the bisection method for approximating zeros of functions, discussing advantages, disadvantages, and an alternative approach for faster convergence.

Taylor Series and Secant Method: Numerical Analysis Techniques

Discusses the Taylor series and secant method, focusing on their applications in numerical analysis and root-finding techniques.

Numerical Methods in Chemistry

Covers the implementation of numerical methods in MATLAB for solving chemical problems.

Nonlinear Equations: Bisection Method

Introduces root finding using the bisection method for nonlinear equations, illustrated with a three-tanks system example.

Non-linear Equations: Dichotomy Method

Explores non-linear equations using the dichotomy method for finding zeros with tolerance.

Bisection Method

Covers the bisection method for finding function roots within intervals and its geometric interpretation.

Bisection Method: Iterative Search for Zeros

Covers the bisection method for finding zeros of continuous functions through iterative narrowing of intervals.

Bisection Method: Solving Non-linear Equations

Explores the bisection method for solving non-linear equations with a focus on error control and MATLAB implementation.

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.

Runge Kutta and Multistep Methods

Explores Runge Kutta and multistep methods for solving ODEs, including Backward Euler and Crank-Nicolson.

Bracketing Methods: Bisection and Regula Falsi

Explores bisection and Regula Falsi bracketing methods for finding roots.

Bisection Method: Zero Finding

Covers the bisection method for finding zeros of continuous functions.

Bisection Method: Nonlinear Equations

Covers the bisection method for finding zeros of nonlinear functions.

Scientific Computing with SciPy Constants and Curve Fitting

Covers SciPy constants, curve fitting, and zero finding methods for scientific computing.

Root Finding Methods: Secant, Newton, and Fixed Point Iteration

Covers numerical methods for finding roots, including secant, Newton, and fixed point iteration techniques.

Nonlinear Equation Resolution: Introduction to Bisection Method

Introduces the bisection method for resolving nonlinear equations using numerical techniques and Python programming.

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