Applies an elementary reflector to a general rectangular matrix.
Given the tridiagonal matrix T, sets small off-diagonal elements to zero and for each unreduced block Ti, finds base representations and eigenvalues.
Computes the singular values of a real upper bidiagonal n-by-m matrix B with diagonal d and off-diagonal e. Used by ?bdsdc.
Checks for deflation, computes a shift and calls dqds. Used by ?bdsqr.
Computes a partial factorization of a complex Hermitian indefinite matrix, using the bounded Bunch-Kaufman diagonal pivoting method.
Computes the product U*UT(U*UH) or LT*L (LH*L), where U and L are upper or lower triangular matrices (blocked algorithm).
Computes the Cholesky factorization of a symmetric/ Hermitian positive-definite band matrix (unblocked algorithm).
Converts a double precision matrix to a single precision matrix.
Computes a QR factorization of a real or complex "triangular-pentagonal" matrix, which is composed of a triangular block and a pentagonal block, using the compact WY representation for Q.
Computes a matrix-vector product using a general matrix to calculate error bounds.