packageLAPACK

Information

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.

Contents

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