LIST OF MLAPACK ROUTINES and LAPACK correspondence

List for LAPACK driver/computational routines
Driver routines are listed in bold type, for example Rgbsv and Cgbsv.

MLAPACK Routine		LAPACK correspondence		Description
real	complex	real	complex
Rsteqr	Csteqr	dsteqr	zsteqr	Computes all eigenvalues and eigenvectors of a real symmetric tridiagonal matrix, using the implicit QL or QR algorithm. NOT CHECKED FOR EXTREME CASES and "I"
Rsterf		dsterf		Computes all eigenvalues of a real symmetric tridiagonal matrix, using a root-free variant of the QL or QR algorithm. NOT CHECKED FOR EXTREME CASES and "I"
Rorgqr	Cungqr	dorgqr	zungqr	Generates all or part of the orthogonal/unitary matrix Q from a QR factorization determined by Rgeqrf/Cgeqrf.
Rorgql	Cungql	dorgql	zungql	Generates all or part of the orthogonal/unitary matrix Q from a QL factorization determined by Rgeqlf/Cgeqlf.
Rsytrd	Chetrd	dsytrd	zhetrd	Reduces a symmetric/Hermitian matrix to real symmetric tridiagonal form by an orthogonal/unitary similarity transformation.
Rorgtr	Cungtr	dorgtr	zungtr	Generates the orthogonal/unitary transformation matrix from a reduction to tridiagonal form determined by Rsytrd/Chetrd.
Rsyev	Cheev	dsyev	zheev	Computes all eigenvalues and, optionally, eigenvectors of a symmetric/Hermitian matrix.
Rpotrf	Cpotrf	dpotrf	zpotrf	Computes the Cholesky factorization of a symmetric/Hermitian positive definite matrix.
Rtrtri	Ctrtri	dtrtri	ztrtri	Computes the inverse of a triangular matrix.
Rgetrf	Cgetrf	dgetrf	zgetrf	Computes an LU factorization of a general matrix, using partial pivoting with row interchanges.
Rgetri	Cgetri	dgetri	zgetri	Computes the inverse of a general matrix, using the LU factorization computed by Rgetrf/Cgetrf.
Rgetrs	Cgetrs	dgetrs	zgetrs	Solves a general system of linear equations AX=B, A^T X=B or A^H X=B, using the LU factorization computed by Rgetrf/Cgetrf.
Rgesv	Cgesv	dgesv	zgesv	Solves a general system of linear equations AX=B.
Rtrtrs	Ctrtrs	dtrtrs	ztrtrs	Solves a triangular system of linear equations A X=B, A^T X=B or A^H X=B.

List for LAPACK auxliary routines

MLAPACK Routine		LAPACK correspondence		Description
real	complex	real	complex
Rlae2		dlae2		Computes the eigenvalues of a 2-by-2 symmetric matrix.
Rlamch		dlamch		Determines machine parameters for floating-point arithmetic.
Rlaev2	Claev2	dlaev2	zlaev2	Computes the eigenvalues and eigenvectors of a 2-by-2 symmetric/Hermitian matrix.
Rlassq	Classq	dlassq	zlassq	Updates a sum of squares represented in scaled form.
Rlanst	Clanht	dlanst	zlanht	Returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element, of a symmetric/Hermitian tridiagonal matrix.
Rlansy	Clansy Clanhe	dlansy	zlansy,zlanhe	Returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element, of a symmetric/Hermitian tridiagonal matrix.
Rlapy2		dlapy2		Returns sqrt(x^2 + y^2), avoiding unnecessary overflow or harmful underflow.
Rlapy3		dlapy3		Returns sqrt(x^2 + y^2 + z^2), avoiding unnecessary overflow or harmful underflow.
Rladiv	Cladiv	dladiv	zladiv	Performs complex division in real arithmetic, avoiding unnecessary overflow.
Rlarfg	Clarfg	dlarfg	zlarfg	Generates an elementary reflector (Householder matrix).NOT CHECKED FOR EXTREME CASES
Rlartg	Clartg	dlartg	zlartg	Generates a plane rotation with real cosine and real/complex sine.NOT CHECKED FOR EXTREME CASES
Rlaset	Claset	dlaset	zlaset	Initializes the off-diagonal elements of a matrix to alpha and the diagonal elements to beta.
Rlasr	Clasr	dlasr	zlasr	Applies a sequence of plane rotations to a general rectangular matrix.
	Clacgv		zlacgv	Conjugates a complex vector.
Rpotf2	Cpotf2	dpotf2	zpotf2	Computes the Cholesky factorization of a symmetric/Hermitian positive definite matrix (unblocked algorithm).
Rlascl	Clascl	dlascl	zlascl	Multiplies a general rectangular matrix by a real scalar defined as cto/cfrom. NOT CHECKED FOR EXTREME CASES
Rlasrt		dlasrt		Sorts numbers in increasing or decreasing order using Quick Sort.
Rsytd2	Chetd2	dsytd2	zhetd2	Reduces a symmetric/Hermitian matrix to real symmetric tridiagonal form by an orthogonal/unitary similarity transformation (unblocked algorithm).
Rlarf	Clarf	dlarf	zlarf	Applies an elementary reflector to a general rectangular matrix.
Rorg2l	Cung2l	dorg2l	zung2l	Generates all or part of the orthogonal/unitary matrix Q from a QL factorization determined by Rgeqlf/Cgeqlf (unblocked algorithm).
Rorg2r	Cung2r	dorg2r	zung2r	Generates all or part of the orthogonal/unitary matrix Q from a QR factorization determined by Rgeqrf/Cgeqrf (unblocked algorithm).
Rlarft	Clarft	dlarft	zlarft	Forms the triangular factor T of a block reflector H = I - V^T V^H. NOT CHECKED FOR TAU[i]=0 for some CASES
Rlarfb	Clarfb	dlarfb	zlarfb	Applies a block reflector or its transpose/conjugate-transpose to a general rectangular matrix.
Rlatrd	Clatrd	dlatrd	zlatrd	Reduces the first nb rows and columns of a symmetric/Hermitian matrix A to real tridiagonal form by an orthogonal/unitary similarity transformation, and returns auxiliary matrices which are needed to apply the transformation to the unreduced part of A.
Rtrti2	Ctrti2	dtrti2	ztrti2	Computes the inverse of a triangular matrix (unblocked algorithm).
Rgetf2	Cgetf2	dgetf2	zgetf2	Computes the inverse of a triangular matrix (unblocked algorithm).
Rlaswp	Claswp	dlaswp	zlaswp	Computes the inverse of a triangular matrix (unblocked algorithm).
Rlasyf	Clasyf, Clahef	dlasyf	zlasyf, zlahef	Computes a partial factorization of a real symmetric/complex symmetric/complex Hermitian indefinite matrix, using the diagonal pivoting method.
	Clacrm		zlacrm	Performs the transformation ... where c, s, x, and y are complex.
	Claesy		zlaesy	Computes the eigenvalues and eigenvectors of a 2-by-2 complex symmetric matrix, and checks that the norm of the matrix of eigenvectors is larger than a threshold value.NOT CHECKED FOR EXTREME CASES"
	Crot		zrot	Applies a plane rotation with real cosine and complex sine to a pair of complex vectors.
	Cspmv		zspmv	Computes the matrix-vector product y = alpha Ax + beta y, where alpha and beta are complex scalars, x and y are complex vectors and A is a complex symmetric matrix in packed storage.
	Cspr		zspr	Performs the symmetric rank-1 update A = alpha x x^T + A, where alpha is a complex scalar, x is a complex vector and A is a complex symmetric matrix in packed storage.
	Csymv		zsymv	Computes the matrix-vector product y = alpha Ax + beta y, where alpha and beta are complex scalars, x and y are complex vectors and A is a complex symmetric matrix.
	Csyr		zsyr	Performs the symmetric rank-1 update A = alpha x x^T + A, where alpha is a complex scalar, x is a complex vector and A is a complex symmetric matrix.
	iCmax1		izmax1	Finds the index of the element whose real part has maximum absolute value (similar to the Level 1 MBLAS iCamax, but using the absolute value of the real part).
	RCsum1		dzsum1	Forms the 1-norm of a complex vector (similar to the Level 1 MBLAS RCasum, but using the true absolute value).
Rpotrs		dpotrs	-	Rpotrs solves a system of linear equations A*X = B with a symmetric positive definite matrix A
Rposv		dposv	-	Rposv computes the solution to a real system of linear equations A * X = B.
Rgeequ		dgeequ	-	Rgeequ computes row and column scalings intended to equilibrate an M-by-N matrix A and reduce its condition number.
Rlatrs		dlatrs	-	Rlatrs solves one of the triangular systems A x = sb or A'x = sb with scaling to prevent overflow.
Rlacn2	Clacn2	dlacn2	zlacn2	Estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products. These routinese are thread safe version of Rlacon/Clacon.
Rgecon	--	dgecon	-	Rgecon estimates the reciprocal of the condition number of a general real matrix A, in either the 1-norm or the infinity-norm

MLAPACK driver/computational routines

MLAPACK auxiliary routines