PROJECT2 Solution of Linear Algebraic Equations
2.0 Introduction
2.1 Gauss-Jordan Elimination
2.2 Gaussian Elimination with Backsubstitution
2.3 LU Decomposition and Its Applications
2.4 Tridiagonal and Band Diagonal Systems of Equations
2.5 Iterative Improvement of a Solution to Linear Equations
2.6 Singular Value Decomposition
2.7 Sparse Linear Systems
2.8 Vandermonde Matrices and Toeplitz Matrices
2.9 Cholesky Decomposition
2.10 QR Decomposition
11 Eigensystems
11.0 Introduction
11.1 Jacobi Transformation of a Symmetric Matrix
11.2 Reduction of a Symmetric Matrix to Tridiagonal
Form: Givens and Householder Reductions
11.3 Eigenvalues and Eigenvectors of a Tridiagonal Matrix
11.4 Hermitian Matrices
11.5 Reduction of a General Matrix to Hessenberg Form
11.6 The QR Algorithm for Real Hessenberg Matrices
11.7 Improving Eigenvalues and/or Finding Eigenvectors
by Inverse Iteration
S.E. Koonin, D.C. Meredith: Computational Physics
Chapter 5: Matrix Operations
PROJECT