Reduces a general matrix to bidiagonal form using an unblocked algorithm.
Estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products.
Used by ?stedc. Computes the Z vector determining the rank-one modification of the diagonal matrix. Used when the original matrix is dense.
Applies back multiplying factors in solving the least squares problem using divide and conquer SVD approach. Used by ?gelsd.
Returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a triangular matrix supplied in packed form.
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).
Pre- and post-multiplies a real general matrix with a random orthogonal matrix.
Generates a plane rotation with real cosine and real/complex sine.
Computes the SVD of an updated upper bidiagonal matrix obtained by merging two smaller ones by appending a row. Used by ?bdsdc.
Updates a sum of squares represented in scaled form.