Nonlinear equations

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Contents

1 Introduction
2 Residual Form
3 Solving a Single Nonlinear Equation
- 3.1 Closed Domain Methods
  - 3.1.1 Bisection
  - 3.1.2 Regula Falsi
- 3.2 Open Domain Methods
  - 3.2.1 Secant Method
  - 3.2.2 Newton's Method
4 Solving a System of Nonlinear Equations
- 4.1 Newton's Method
5 Solution Approaches: Single Nonlinear Equation
- 5.1 Excel
- 5.2 Matlab
6 Solution Approaches: System of Nonlinear Equations
- 6.1 Excel
- 6.2 Matlab

Introduction

Residual Form

Solving a Single Nonlinear Equation

Closed Domain Methods

Bisection

Regula Falsi

Open Domain Methods

Secant Method

Newton's Method

Solving a System of Nonlinear Equations

Newton's Method

Solution Approaches: Single Nonlinear Equation

Excel

Matlab

Solution Approaches: System of Nonlinear Equations

Excel

Matlab

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