dgeev

Compute eigenvalues and (right) eigenvectors for real nonsymmetric matrix A

dgeev_eigenValues

Compute eigenvalues for real nonsymmetric matrix A

dgelsy

Compute the minimum-norm solution to a real linear least squares problem with rank deficient A

dgelsy_vec

Compute the minimum-norm solution to a real linear least squares problem with rank deficient A

dgels_vec

Solve overdetermined or underdetermined real linear equations A*x=b with a b vector

dgesv

Solve real system of linear equations A*X=B with a B matrix

dgesv_vec

Solve real system of linear equations A*x=b with a b vector

dgglse_vec

Solve a linear equality constrained least squares problem

dgtsv

Solve real system of linear equations A*X=B with B matrix and tridiagonal A

dgtsv_vec

Solve real system of linear equations A*x=b with b vector and tridiagonal A

dgbsv

Solve real system of linear equations A*X=B with a B matrix

dgbsv_vec

Solve real system of linear equations A*x=b with a b vector

dgesvd

Determine singular value decomposition

dgesvd_sigma

Determine singular values

dgetrf

Compute LU factorization of square or rectangular matrix A (A = P*L*U)

dgetrs

Solve a system of linear equations with the LU decomposition from dgetrf

dgetrs_vec

Solve a system of linear equations with the LU decomposition from dgetrf

dgetri

Compute the inverse of a matrix using the LU factorization from dgetrf

dgeqp3

Compute QR factorization with column pivoting of square or rectangular matrix A

dorgqr

Generate a Real orthogonal matrix Q which is defined as the product of elementary reflectors as returned from dgeqrf

dgees

Compute real Schur form T of real nonsymmetric matrix A, and, optionally, the matrix of Schur vectors Z as well as the eigenvalues

dtrsen

Reorder the real Schur factorization of a real matrix

dgesvx

Solve real system of linear equations op(A)*X=B, op(A) is A or A' according to the Boolean input transposed

dtrsyl

Solve the real Sylvester matrix equation op(A)*X + X*op(B) = scale*C or op(A)*X - X*op(B) = scale*C

dhseqr

Compute eigenvalues of a matrix H using lapack routine DHSEQR for Hessenberg form matrix

dlange

Norm of a matrix

dgecon

Estimate the reciprocal of the condition number of a general real matrix A

dgehrd

Reduce a real general matrix A to upper Hessenberg form H by an orthogonal similarity transformation: Q' * A * Q = H

dgeqrf

Compute a QR factorization without pivoting

dgeevx

Compute the eigenvalues and the (real) left and right eigenvectors of matrix A, using lapack routine dgeevx

dgesdd

Determine singular value decomposition

dggev

Compute generalized eigenvalues, as well as the left and right eigenvectors for a (A,B) system

dggevx

Compute generalized eigenvalues for a (A,B) system, using lapack routine dggevx

dhgeqz

Compute generalized eigenvalues for a (A,B) system

dormhr

Overwrite the general real M-by-N matrix C with Q * C or C * Q or Q' * C or C * Q', where Q is an orthogonal matrix as returned by dgehrd

dormqr

Overwrite the general real M-by-N matrix C with Q * C or C * Q or Q' * C or C * Q', where Q is an orthogonal matrix of a QR factorization as returned by dgeqrf

dtrevc

Compute the right and/or left eigenvectors of a real upper quasi-triangular matrix T

dpotrf

Compute the Cholesky factorization of a real symmetric positive definite matrix A

dtrsm

Solve one of the matrix equations op( A )*X = alpha*B, or X*op( A ) = alpha*B, where A is triangular matrix. BLAS routine

dorghr

Generate a real orthogonal matrix Q which is defined as the product of IHI-ILO elementary reflectors of order N, as returned by DGEHRD