Editing Operators (section)

== Matrix Decomposition ==
* Singular Value Decomposition (SVD)
** Decomposes a matrix into singular vectors and singular values.
*** Dimensionality reduction, image compression.

* Eigenvalue Decomposition
** Decomposes a matrix into eigenvectors and eigenvalues.
*** Stability analysis, systems of ordinary differential equations.

* QR Decomposition
** Decomposes a matrix into an orthogonal matrix and an upper triangular matrix.
*** Solving linear least squares problems, numerical stability.

* Cholesky Decomposition
** Decomposes a symmetric positive definite matrix into the product of a lower triangular matrix and its conjugate transpose.
*** Solving linear systems, generating correlated random variables.

* LU Decomposition
** Decomposes a matrix into the product of a lower triangular matrix and an upper triangular matrix.
*** Solving linear systems, matrix inversion.

* Schur Decomposition
** Decomposes a matrix into a unitary matrix and an upper triangular matrix.
*** Solving linear systems, stability analysis.

* Jordan Normal Form
** Canonical form of a matrix under a similarity transformation.
*** Stability analysis, solving systems of linear differential equations.