matrix A in packed storage using the Cholesky factorization A = U**T*U or A = L*L**T computed by DPPTRF
dptcon		dptcon (3p)	- compute the reciprocal of the condition number (in the 1-norm) of a real symmetric positive definite tridiagonal matrix using the factorization A = L*D*L**T or A = U**T*D*U computed by DPTTRF
dpteqr		dpteqr (3p)	- compute all eigenvalues and, optionally, eigenvectors of a symmetric positive definite tridiagonal matrix by first factoring the matrix using DPTTRF, and then calling DBDSQR to compute the singular values of the bidiagonal factor
dptrfs		dptrfs (3p)	- improve the computed solution to a system of linear equations when the coefficient matrix is symmetric positive definite and tridiagonal, and provides error bounds and backward error estimates for the solution
dptsl		dptsl (3p)	- solve the linear system Ax = b for a symmetric positive definite tridiagonal matrix A and vectors b and x.
dptsv		dptsv (3p)	- compute the solution to a real system of linear equations A*X = B, where A is an N-by-N symmetric positive definite tridiagonal matrix, and X and B are N-by-NRHS matrices
dptsvx		dptsvx (3p)	- use the factorization A = L*D*L**T to compute the solution to a real system of linear equations A*X = B, where A is an N-by-N symmetric positive definite tridiagonal matrix and X and B are N-by-NRHS matrices
dpttrf		dpttrf (3p)	- compute the factorization of a real symmetric positive definite tridiagonal matrix A
dpttrs		dpttrs (3p)	- solve a system of linear equations A * X = B with a symmetric positive definite tridiagonal matrix A using the factorization A = L*D*L**T or A = U**T*D*U computed by DPTTRF
dqdota		dqdota (3p)	- Compute a double precision constant plus an extended precision constant plus the extended precision dot product of two double precision vectors x and y.
dqdoti		dqdoti (3p)	- Compute a constant plus the extended precision dot product of two double precision vectors x and y.
dqrdc		dqrdc (3p)	- compute the QR factorization of a general matrix A.  It is typical to follow a  call to xQRDC with a call to xQRSL to solve Ax = b or to xPODI to compute the determinant of A.
dqrsl		dqrsl (3p)	- solve the linear system Ax = b for a general matrix A, which has been QR- factored by xQRDC, and vectors b and x.
drot		drot (3p)	- Apply a Given's rotation constructed by DROTG.
drotg		drotg (3p)	- Construct a Given's plane rotation
drotm		drotm (3p)	- Apply a Gentleman's modified Given's rotation constructed by DROTMG.
drotmg		drotmg (3p)	- Construct a Gentleman's modified Given's plane rotation
drscl		drscl (3p)	- multiply an n-element real vector x by the real scalar 1/a
dsbev		dsbev (3p)	- compute all the eigenvalues and, optionally, eigenvectors of a real symmetric band matrix A
dsbevd		dsbevd (3p)	- compute all the eigenvalues and, optionally, eigenvectors of a real symmetric band matrix A
dsbevx		dsbevx (3p)	- compute selected eigenvalues and, optionally, eigenvectors of a real symmetric band matrix A
dsbgst		dsbgst (3p)	- reduce a real symmetric-definite banded generalized eigenproblem A*x = lambda*B*x to standard form C*y = lambda*y,
dsbgv		dsbgv (3p)	- compute all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite banded eigenproblem, of the form A*x=(lambda)*B*x
dsbmv		dsbmv (3p)	- perform the matrix-vector operation	y := alpha*A*x + beta*y
dsbtrd		dsbtrd (3p)	- reduce a real symmetric band matrix A to symmetric tridiagonal form T by an orthogonal similarity transformation
dscal		dscal (3p)	- Compute y := alpha * y
dsdot		dsdot (3p)	- Compute the double precision dot product of two single precision vectors x and y.
dsecnd		dsecnd (3p)	- return the user time for a process in seconds.
dsico		dsico (3p)	- compute the UDU factorization and condition number of a symmetric matrix A.  If the condition number is not needed then xSIFA is slightly faster.  It is typical to follow a call to xSICO with a call to xSISL to solve Ax = b or to xSIDI to compute the determinant, inverse, and inertia of A.
dsidi		dsidi (3p)	- compute the determinant, inertia, and inverse of a symmetric matrix A, which has been UDU-factored by xSICO or xSIFA.
dsifa		dsifa (3p)	- compute the UDU factorization of a symmetric matrix A.  It is typical to follow a call to xSIFA with a call to xSISL to solve Ax = b or to xSIDI to compute the determinant, inverse, and inertia of A.
dsinqb		dsinqb (3p)	- synthesize a Fourier sequence from its representation in terms of a sine series with odd wave numbers.  The xSINQ operations are unnormalized inverses of themselves, so a call to xSINQF followed by a call to  xSINQB will multiply the input sequence by 4 * N.  The VxSINQ operations are normalized, so a call of  VxSINQF followed by a call of VxSINQB will return the original sequence.
dsinqf		dsinqf (3p)	- compute the Fourier coefficients in a sine series representation with only odd wave numbers.	The xSINQ operations are unnormalized inverses of themselves, so a call to xSINQF followed by a call to  xSINQB will multiply the input sequence by 4 * N.  The VxSINQ operations are normalized, so a call of	VxSINQF followed by a call of VxSINQB will return the original sequence.
dsinqi		dsinqi (3p)	- initialize the array xWSAVE, which is used in both xSINQF and xSINQB.
dsint		dsint (3p)	- compute the discrete Fourier sine transform of an odd sequence. The xSINT transforms are unnormalized inverses of themselves, so a call of xSINT followed by another call of xSINT will multiply the input sequence by 2 * (N+1).  The VxSINT transforms are normalized, so a call of VxSINT followed by a call of VxSINT will return the original sequence.
dsinti		dsinti (3p)	- initialize the array xWSAVE, which is used in subroutine xSINT.
dsisl		dsisl (3p)	- solve the linear system Ax = b for a symmetric matrix A, which has been UDU-factored by xSICO or xSIFA, and vectors b and x.
dspco		dspco (3p)	- compute the UDU factorization and condition number of a symmetric matrix A in packed storage.  If the condition number is not needed then xSPFA is slightly faster.  It is typical to follow a call to xSPCO with a call to xSPSL to solve Ax = b or to xSPDI to compute the determinant, inverse, and inertia of A.
dspcon		dspcon (3p)	- estimate the reciprocal of the condition number (in the 1-norm) of a real symmetric packed matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by DSPTRF
dspdi		dspdi (3p)	- compute the determinant, inertia, and inverse of a symmetric matrix A in packed storage, which has been UDU-factored by xSPCO or xSPFA.
dspev		dspev (3p)	- compute all the eigenvalues and, optionally, eigenvectors of a real symmetric matrix A in packed storage
dspevd		dspevd (3p)	- compute all the eigenvalues and, optionally, eigenvectors of a real symmetric matrix A in packed storage
dspevx		dspevx (3p)	- compute selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix A in packed storage
dspfa		dspfa (3p)	- compute the UDU factorization of a symmetric matrix A in packed storage.  It is typical to follow a call to xSPFA with a call to xSPSL to solve Ax = b or to xSPDI to compute the determinant, inverse, and inertia of A.
dspgst		dspgst (3p)	- reduce a real symmetric-definite generalized eigenproblem to standard form, using packed storage
dspgv		dspgv (3p)	- compute all the eigenvalues and, optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem, of the form A*x=(lambda)*B*x, A*Bx=(lambda)*x, or B*A*x=(lambda)*x
dspmv		dspmv (3p)	- perform the matrix-vector operation	y := alpha*A*x + beta*y
dspr		dspr (3p)	- perform the symmetric rank 1 operation   A := alpha*x*x' + A
dspr2		dspr2 (3p)	- perform the symmetric rank 2 operation   A := alpha*x*y' + alpha*y*x' + A
dsprfs		dsprfs (3p)	- improve the computed solution to a system of linear equations when the coefficient matrix is symmetric indefinite and packed, and provides error bounds and backward error estimates for the solution
dspsl		dspsl (3p)	- solve the linear system Ax = b for a symmetric matrix A in packed storage, which has been UDU-factored by xSPCO or xSPFA, and vectors b and x.
dspsv		dspsv (3p)	- compute the solution to a re