Rate of convergence

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Error Estimation in Numerical Methods

Explores error estimation in numerical methods for solving ordinary differential equations, emphasizing the impact of errors on solution accuracy and stability.

Solving Equations: Newton's Method

Covers Newton's method conditions and convergence, extension to multiple variables, and linear models.

Accelerated Algorithms for Monotone Inclusions

By Quoc Tran-Dinh explores accelerated algorithms for monotone inclusions, covering optimization models, challenges, and new algorithms.

Iterative Methods for Nonlinear Equations

Explores iterative methods for solving nonlinear equations, discussing convergence properties and implementation details.

Exemple: Convergence Analysis

Analyzes the convergence of a function using the Newton method.

Markov Chains: Convergence and Equilibrium

Explores the convergence properties of Markov chains and the computation of long-run mean rewards.

Convergence Order

Explores the concepts of linear and quadratic convergence rates, highlighting their differences and applications in numerical methods.

Convergence of Adaptive Langevin using hypocoercivity

Covers the convergence of Adaptive Langevin dynamics using hypocoercive techniques and explores the Central Limit Theorem.

Newton method for systems: Fixed point iterations

Explores the Newton method for systems and fixed point iterations, discussing convergence and properties.

Lipschitz continuous Hessian and Newton's method

Explores the convergence of Newton's method and the CG algorithm for solving linear equations.