Linear Algebra: Advanced and Computational Matrix Factorizations · Introduction

Introduction

What this guide covers

A comprehensive and rigorous analysis of the structural decomposition of matrices, with emphasis on numerical stability, high-performance computational algorithms, spectral analysis, and probabilistic methods.

Overview

Topics covered

Introduction
Linear Algebra: Advanced Matrix Factorizations
Fundamentals and Numerical Stability
Vector and Matrix Norms
Conditioning of a Problem and Condition Number
Numerical Stability according to Wilkinson

Related concepts

Main connections

Compatible notation

Mathematical sample in LaTeX

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

\|x\|_p = \left( \sum_{i=1}^n |x_i|^p \right)^{1/p}

View LaTeX source

\|x\|_p = \left( \sum_{i=1}^n |x_i|^p \right)^{1/p}