computes a complete orthogonal decomposition

computes a complete orthogonal decomposition by Householder transformations

finds a convex hull of a set of planar points

computes the determinant of a square matrix

reduces a matrix to row-echelon normal form

computes eigenvalues and eigenvectors

computes eigenvalues

computes eigenvectors

computes eigenvalues and eigenvectors of a generalized eigenproblem

computes a generalized inverse

computes the Gram-Schmidt orthonormalization

computes the Cholesky decomposition

generates a Hankel matrix

performs a horizontal direct product

reduces a matrix to Hermite normal form

solves homogeneous linear systems

computes the inverse

updates a matrix inverse

solves a sparse general linear system by iteration

provides updating and downdating for rank-deficient linear least squares solutions, complete orthogonal factorization, and Moore-Penrose inverses

computes the QR decomposition of a matrix by Householder transformations

downdates and updates QR and Cholesky decompositions

performs the Cholesky decomposition of a matrix

updates QR and Cholesky decompositions

updates QR and Cholesky decompositions

solves a system of linear equations

solves a sparse symmetric system of linear equations by direct decomposition

computes the singular value decomposition

generates a Toeplitz or block-Toeplitz matrix

sums diagonal elements

solves linear systems with triangular matrices

performs extended-precision matrix multiplication