Lectures related to Fixed-point theorem

Explores the numerical analysis of nonlinear equations, focusing on convergence criteria and methods like bisection and fixed-point iteration.

Explores stability properties and fixed points in discrete time solutions.

Covers the Picard method for solving nonlinear equations using fixed point iteration.

Covers the convergence of fixed point methods for nonlinear equations, including global and local convergence theorems and the order of convergence.

Explores the Banach Fixed Point Theorem, showing the uniqueness of fixed points in contraction mappings.

Explores the convergence of fixed point methods and the implications of different convergence rates.

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.

Explores Newton's method for finding roots of nonlinear equations and its interpretation as a second-order method.

Explores the Newton method for non-linear equations, discussing convergence criteria and stopping conditions.

Covers the basics of information theory, entropy, and fixed points in graph colorings and the Ising model.

Covers the stability of discrete time periodic solutions and their properties.

Discusses stopping criteria for fixed point iteration in nonlinear equations and how to manage errors.

Covers the topic of nonlinear equations and the fixed point method.

Focuses on fixed points in graph theory and their implications in algorithms and analysis.

Explores applying fixed point methods to solve electrical circuit equations and find diode voltage.

Introduces the fixed point method for solving nonlinear equations by transforming the problem into an equivalent form.

Covers the concept of the renormalization group and the effective Hamiltonian.

Explores the local inversion theorem, demonstrating uniqueness of solutions and continuity of functions.

Covers fixed point methods and the Picard method for solving nonlinear equations iteratively.

Covers the computation of Bethe free entropy and the interpretation of messages between variables and factors.