ALAFF Overview

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Subsection 9.1.2 Overview

9.1 Opening
- 9.1.1 Relating diagonalization to eigenvalues and eigenvectors
- 9.1.2 Overview
- 9.1.3 What you will learn
9.2 Basics
- 9.2.1 Singular matrices and the eigenvalue problem
- 9.2.2 The characteristic polynomial
- 9.2.3 More properties of eigenvalues and vectors
- 9.2.4 The Schur and Spectral Decompositions
- 9.2.5 Diagonalizing a matrix
- 9.2.6 Jordan Canonical Form
9.3 The Power Method and related approaches
- 9.3.1 The Power Method
- 9.3.2 The Power Method: Convergence
- 9.3.3 The Inverse Power Method
- 9.3.4 The Rayleigh Quotient Iteration
- 9.3.5 Discussion
9.4 Enrichments
9.5 Wrap Up
- 9.5.1 Additional homework
- 9.5.2 Summary