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Introduction
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Computational Physics
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Physics
Matrix Algebra
Subsections
Introduction
Types of Matrices
Simple Matrix Problems
Addition and Subtraction
Multiplication of Matrices
Elliptic Equations -- Poisson's Equation
One Dimension
2 or more Dimensions
Systems of Equations and Matrix Inversion
Exact Methods
Iterative Methods
The Jacobi Method
The Gauss-Seidel Method
Matrix Eigenvalue Problems
Schrödinger's equation
General Principles
Full Diagonalisation
The Generalised Eigenvalue Problem
Partial Diagonalisation
Sturm Sequence
Sparse Matrices and the Lanczos Algorithm
Problems
Project -- Oscillations of a Crane
Analysis
Project -- Phonons in a Quasicrystal
Introduction
The Fibonacci Lattice
The Model
The Physics
