Reduces the first nb columns of a general rectangular matrix A so that elements below the k-th subdiagonal are zero, and returns auxiliary matrices which are needed to apply the transformation to the unreduced part of A.
Generates a plane rotation with real cosine and real/complex sine.
Solves overdetermined or underdetermined linear systems involving a matrix of full rank.
Computes the factorization of a real/complex symmetric indefinite matrix, using the diagonal pivoting method (unblocked algorithm).
Applies a block reflector or its transpose/conjugate-transpose as returned by p?tzrzf to a general matrix.
Computes the LU factorization of a general m-by-n matrix using partial pivoting with row interchanges (unblocked algorithm).
Assists other languages in calling the xerbla function.
Computes a QR factorization with column pivoting of the matrix block.
Computes the generalized QR factorization.
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