Computes all eigenvalues and (optionally) all eigenvectors of a complex Hermitian matrix using divide and conquer algorithm.
Computes selected eigenvalues and, optionally, eigenvectors of a Hermitian band matrix.
Computes the generalized singular value decomposition of a pair of general rectangular matrices.
Computes all eigenvalues and, optionally, eigenvectors of a real generalized symmetric definite eigenproblem with banded matrices.
Applies a plane rotation with real cosine and complex sine to a pair of complex vectors.
Used by sstedc/dstedc. Computes the updated eigensystem of a diagonal matrix after modification by a rank-one symmetric matrix. Used when the original matrix is tridiagonal.
Performs a matrix-matrix product of the form C =
beta*C, where A is a tridiagonal matrix, B and C are rectangular matrices, and
beta are scalars, which may be 0, 1, or -1.
Returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of an upper Hessenberg matrix.