Advanced & Applied Topics · Numerical Optimization & Scientific Methods

Numerical methods: computational arithmetic, errors, and stability — advanced academic reference

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction Treatise on Numerical Analysis

Overview

Topics covered

  • Introduction
  • Numerical Methods: Computational Arithmetic, Error Theory and Stability of Algorithms
  • Fundamentals of Computational Arithmetic
  • Fixed Point vs. Floating Point Systems
  • The IEEE 754 Standard
  • The Epsilon of the Machine ( )

Related concepts

Main connections

  • Calculus & differentiation
  • Linear algebra & matrices
  • Bayes' theorem & priors
  • Diagnostic test evaluation & ROC
  • Supervised machine learning

Compatible notation

Mathematical sample in LaTeX

The expression is rendered accessibly, with its LaTeX source preserved below.

x=I+F⋅β−d
View LaTeX sourcex = I + F \cdot \beta^{-d}