This package contains functions to call routines from software library LAPACK (Linear Algebra PACKage) aimed for numerical linear algebra. The library is provided by Netlib Repository.
| Name | Description |
|---|---|
| dgecon | Estimates the reciprocal of the condition number of a general real matrix A |
| dgees | Computes real Schur form T of real nonsymmetric matrix A, and, optionally, the matrix of Schur vectors Z as well as the eigenvalues |
| dgeev | Compute the eigenvalues and the (real) left and right eigenvectors of matrix A |
| dgeev_eigenValues | Compute the eigenvalues of matrix A |
| dgeevx | Compute the eigenvalues and the (real) left and right eigenvectors of matrix A, using lapack routine dgeevx (includes balancing of A) |
| dgeevx_eigenValues | Compute the eigenvalues of matrix A, using lapack routine dgeevx (with balancing) |
| dgegv | Compute generalized eigenvalues for a (A,B) system |
| dgehrd | Reduces a real general matrix A to upper Hessenberg form H by an orthogonal similarity transformation: Q' * A * Q = H |
| dgeqp3 | Computes a QR factorization with column pivoting |
| dgeqrf | Computes a QR factorization without pivoting |
| dgesdd | Determine singular value decomposition |
| dgesvd | Determine singular value decomposition |
| dgesvx | Solve real system of linear equations op(A) * X = B, op(A) is A or A' according to the boolean input transposed |
| dgetrs | Solves a system of linear equations with the LU decomposition from dgetrf(..) |
| dggev | Compute generalized eigenvalues for a (A,B) system |
| dggev_eigenValues | Compute only generalized eigenvalues 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 |
| dhseqr | Compute eingenvalues of a matrix A using lapack routine DHSEQR for Hessenberg form matrix |
| dlange | Norm of a matrix |
| dlansy | Norm of a symmetric matrix |
| dorghr | Generates a real orthogonal matrix Q which is defined as the product of IHI-ILO elementary reflectors of order N, as returned by DGEHRD |
| dorgqr | Generate a real orthogonal matrix Q which is defined as the product of elementary reflectors, as returned by DGEQRF |
| dorgqr_x | Generates a real orthogonal matrix Q which is defined as the product of elementary reflectors, as returned by DGEQRF |
| dormhr | Overwrites 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 returne by dgehrd |
| dormqr | Overwrites 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 |
| dtrsen | DTRSEN reorders the real Schur factorization of a real matrix |
| dtrsyl | DTRSYL solves the real Sylvester matrix equation |
| dgelsx | Computes the minimum-norm solution to a real linear least squares problem with rank deficient A |
| dgemm | Blas algorithm to perform C:=a*op(A)*op(B) + b*C (a,b scalars, ABC matrices) |
| dpotrf | Computes the Cholesky factorization of a real symmetric positive definite matrix A |
| dtrmm | Blas algorithm to perform B := alpha*op( A )*B, or B := alpha*B*op( A ) with triangular 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 |
| drot | Applies a plane rotation |
| drotg | Construct Givens plane rotation |
| dtrsv | Solve one of the matrix equations op( A )*x = B where A is upper or lower triangular matrix. BLAS routine |
| dposv | Compute the solution to A * X = B, where A is a symmetric positive definite matrix |
| dpocon | Estimates the reciprocal of the condition number (1-norm) of a real symmetric matrix A using the Cholesky factor |
| dgelqf | Compute LQ factorization of a real matrix A=L*Q |
| dorglq | Generate a matrix Q with orthonormal rows which is defined as the product of elementary reflectors, as returned by DGELQF |
| dtrtri | Computes the inverse of a triangular real matrix A |