Performs the orthogonal/unitary similarity transformation of a Hessenberg matrix to detect and deflate fully converged eigenvalues from a trailing principal submatrix (aggressive early deflation).
Applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order less than or equal to 10.
Computes the eigenvectors of the tridiagonal matrix T = L*D*LT given L, D and the eigenvalues of L*D*LT.
Computes the square root of the i-th eigenvalue of a positive symmetric rank-one modification of a 2-by-2 diagonal matrix.Used by ?bdsdc.
Sorts numbers in increasing or decreasing order.
Generates matrices involved in the Generalized Sylvester equation.
Orthogonalizes a column vector with respect to the orthonormal basis matrix.
Applies an elementary permutation on the rows and columns of a Hermitian matrix.
Scans a matrix for its last non-zero row.
Copies a triangular matrix from the standard full format (TR) to the standard packed format (TP) .