Programming & Scientific Computing · Statistical & Parallel Computing

Statistical computing: Computational arithmetic and numerical linear algebra — Expert reference

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction Numeric Linear Algebra · Scientific Precision

Overview

Topics covered

  • Introduction
  • Statistical Computing: Computational Arithmetic and Numerical Algebra
  • Floating Point Numerical and Arithmetic Representation
  • The IEEE 754 Standard and Binary Representation
  • Machine Epsilon, Underflow and Overflow
  • Numerical Instability and Loss of Significance

Related concepts

Main connections

  • Linear algebra & matrices
  • Regularization (Lasso / Ridge / Elastic Net)
  • Variance & standard deviation
  • Bayes' theorem & priors
  • Maximum likelihood estimation
  • Linear regression

Compatible notation

Mathematical sample in LaTeX

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

value(x)=(−1)s×(1+f)×2e−bias
View LaTeX source\text{value}(x) = (-1)^s \times (1 + f) \times 2^{e - \text{bias}}