User:Rogério Brito/Books/Applied Linear Algebra
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Selected Topics on Applied Linear Algebra[edit]
Numerical and Theoretical Applied Linear Algebra[edit]
- 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