Computes the LU factorization with complete pivoting of the general n-by-n matrix.
Used by sstedc/dstedc. Finds a single root of the secular equation.
Computes the eigenvalues and Schur factorization of an upper Hessenberg matrix, using the double-shift/single-shift QR algorithm.
Returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of an upper Hessenberg matrix.
Computes the (scaled) r-th column of the inverse of the submatrix in rows b1 through bn of tridiagonal matrix.
Provides limited bisection to locate eigenvalues for more accuracy.
Forms the triangular factor T of a block reflector H = I - V*T*VH.
Initializes the off-diagonal elements and the diagonal elements of a matrix to given values.
Computes a partial factorization of a complex symmetric matrix, using the bounded Bunch-Kaufman diagonal pivoting method.