User:Nathanielhm/Books/Numerical Linear Algebra

An Open-Access, Community-Written Guide

 * Terms and Concepts
 * Sparse matrix
 * Hilbert matrix
 * QR decomposition
 * Eigendecomposition of a matrix
 * Singular value decomposition
 * LU decomposition
 * Kernel (linear algebra)


 * Solving Systems
 * Gaussian elimination
 * Cholesky decomposition
 * Iterative refinement
 * Jacobi method
 * Gauss–Seidel method
 * Modified Richardson iteration
 * Conjugate gradient method
 * Conjugate residual method
 * Generalized minimal residual method
 * Chebyshev iteration
 * Moore–Penrose pseudoinverse


 * Eigenvectors and Eigenvalues
 * Eigenvalue algorithm
 * Power iteration
 * Rayleigh quotient iteration
 * Arnoldi iteration
 * QR algorithm
 * Jacobi eigenvalue algorithm
 * Eigenvalue perturbation


 * Orthogonalization
 * Orthogonalization
 * Gram–Schmidt process
 * Householder transformation
 * Givens rotation


 * Special and Advanced Topics
 * Krylov subspace
 * In-place matrix transposition
 * Pivot element
 * Matrix-free methods
 * Block matrix pseudoinverse
 * Bidiagonalization
 * Cuthill–McKee algorithm