User:Rogério Brito/Books/Applied Linear Algebra

Numerical and Theoretical Applied Linear Algebra

 * Background
 * Rank (linear algebra)
 * Symmetric matrix
 * Spectral theorem
 * Bilinear form
 * Definite bilinear form
 * Positive-definite matrix
 * Characteristic polynomial
 * Minimal polynomial
 * Cayley–Hamilton theorem


 * Special Matrices
 * Toeplitz matrix
 * Circulant matrix
 * Hermitian matrix
 * Hessenberg matrix
 * Tridiagonal matrix
 * Sparse matrix
 * Gram matrix


 * Initial Applications
 * Least squares
 * Linear least squares
 * Moore-Penrose pseudoinverse
 * Moore–Penrose pseudoinverse/Proofs


 * Decompositions and Algorithms
 * Gaussian elimination
 * Gauss–Jordan elimination
 * LU decomposition
 * Cholesky decomposition
 * Symbolic Cholesky decomposition
 * QR decomposition
 * Singular value decomposition
 * Eigendecomposition of a matrix
 * Jacobi eigenvalue algorithm
 * Numerical stability


 * Linear Algebra and Statistics
 * Linear Regression
 * Variance
 * Covariance
 * Covariance matrix
 * Correlation
 * Uncorrelated