Computes the eigenvalues and Schur factorization of a general matrix, and orders the factorization so that selected eigenvalues are at the top left of the Schur form.
Computes all eigenvalues and, optionally, eigenvectors of a real generalized symmetric definite eigenproblem.
Computes selected eigenvalues and, optionally, eigenvectors of a real generalized symmetric definite eigenproblem with banded matrices.
Performs the symmetrical rank-1 update of a complex symmetric packed matrix.
Computes the RQ factorization of a general rectangular matrix using an unblocked algorithm.
Used by sstedc/dstedc. Merges eigenvalues and deflates secular equation. Used when the original matrix is tridiagonal.
Solves the system of equations (T - lambda*I)*x = y or (T - lambda*I)T*x = y,where T is a general tridiagonal matrix and lambda is a scalar, using the LU factorization computed by ?lagtf.
Returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix.
Performs a forward or backward permutation of the columns of a matrix.
Scales a symmetric/Hermitian matrix, using scaling factors computed by ?poequ.