Numerical methods: solution of nonlinear equations

Introduction

What this guide covers

Introduction initialize(x₀, x₁) |> calculate_residue () |> update_point () |> check_tolerance () Applied Mathematics & Scientific Computing

Overview

Topics covered

• Introduction
• Solving Nonlinear Equations with Numerical Methods
• Philosophy and Mathematical Foundations
• Theorems of Existence and Uniqueness
• Sensitivity and Conditioning of a Root
• Speed and Order of Convergence

Related concepts

Main connections

• Calculus & differentiation
• Mathematical optimization & gradients
• Linear algebra & matrices
• Bayes' theorem & priors
• Diagnostic test evaluation & ROC

Compatible notation

Mathematical sample in LaTeX

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