# --------------------------------------------------------
# Available SIMPLE and DIVIDE AND CONQUER DRIVER routines:
# --------------------------------------------------------

file lapack/single/sgesv.f
prec single
for  Solves a general system of linear equations AX=B.
gams d2a1

file lapack/single/sgbsv.f
prec single
for  Solves a general banded system of linear equations AX=B.
gams d2a2

file lapack/single/sgtsv.f
prec single
for  Solves a general tridiagonal system of linear equations AX=B.
gams d2a2a

file lapack/single/sposv.f
prec single
for  Solves a symmetric positive definite system of linear
,    equations AX=B.
gams d2b1b

file lapack/single/sppsv.f
prec single
for  Solves a symmetric positive definite system of linear
,    equations AX=B, where A is held in packed storage.
gams d2b1b

file lapack/single/spbsv.f
prec single
for  Solves a symmetric positive definite banded system
,    of linear equations AX=B.
gams d2b2

file lapack/single/sptsv.f
prec single
for  Solves a symmetric positive definite tridiagonal system
,    of linear equations AX=B.
gams d2b2a

file lapack/single/ssysv.f
prec single
for  Solves a real symmetric indefinite system of linear equations AX=B.
gams d2b1a

file lapack/single/sspsv.f
prec single
for  Solves a real symmetric indefinite system of linear equations AX=B,
,    where A is held in packed storage.
gams d2b1a

file lapack/single/sgels.f
prec single
for  Computes the least squares solution to an over-determined system
,    of linear equations, A X=B or A**H X=B,  or the minimum norm
,    solution of an under-determined system, where A is a general
,    rectangular matrix of full rank,  using a QR or LQ factorization
,    of A.
gams d9a1

file lapack/single/sgelsd.f
prec single
for  Computes the least squares solution to an over-determined system
,    of linear equations, A X=B or A**H X=B,  or the minimum norm
,    solution of an under-determined system, using a divide and conquer
,    method, where A is a general rectangular matrix of full rank,
,    using a QR or LQ factorization of A.
gams d9a1

file lapack/single/sgglse.f
prec single
for  Solves the LSE (Constrained Linear Least Squares Problem) using
,    the GRQ (Generalized RQ) factorization
gams d9b1

file lapack/single/sggglm.f
prec single
for  Solves the GLM (Generalized Linear Regression Model) using
,    the GQR (Generalized QR) factorization

file lapack/single/ssyev.f
prec single
for  Computes all eigenvalues, and optionally, eigenvectors of a real
,    symmetric matrix.
gams d4a1

file lapack/single/ssyevd.f
prec single
for  Computes all eigenvalues, and optionally, eigenvectors of a real
,    symmetric matrix.  If eigenvectors are desired, it uses a divide
,    and conquer algorithm.
gams d4a1

file lapack/single/sspev.f
prec single
for  Computes all eigenvalues, and optionally, eigenvectors of a real
,    symmetric matrix in packed storage.
gams d4a1

file lapack/single/sspevd.f
prec single
for  Computes all eigenvalues, and optionally, eigenvectors of a real
,    symmetric matrix in packed storage.  If eigenvectors are desired,
,    it uses a divide and conquer algorithm.
gams d4a1

file lapack/single/ssbev.f
prec single
for  Computes all eigenvalues, and optionally, eigenvectors of a real
,    symmetric band matrix.
gams d4a1, d4a6

file lapack/single/ssbevd.f
prec single
for  Computes all eigenvalues, and optionally, eigenvectors of a real
,    symmetric band matrix.  If eigenvectors are desired, it uses a
,    divide and conquer algorithm.
gams d4a1, d4a6

file lapack/single/sstev.f
prec single
for  Computes all eigenvalues, and optionally, eigenvectors of a real
,    symmetric tridiagonal matrix.
gams d4a1, d4a5

file lapack/single/sstevd.f
prec single
for  Computes all eigenvalues, and optionally, eigenvectors of a real
,    symmetric tridiagonal matrix.  If eigenvectors are desired, it uses
,    a divide and conquer algorithm.
gams d4a1, d4a5

file lapack/single/sgees.f
prec single
for  Computes the eigenvalues and Schur factorization of a general
,    matrix, and orders the factorization so that selected eigenvalues
,    are at the top left of the Schur form.
gams d4a2

file lapack/single/sgeev.f
prec single
for  Computes the eigenvalues and left and right eigenvectors of
,    a general matrix.
gams d4a2

file lapack/single/sgesvd.f
prec single
for  Computes the singular value decomposition (SVD) of a general
,    rectangular matrix.
gams d6

file lapack/single/sgesdd.f
prec single
for  Computes the singular value decomposition (SVD) of a general
,    rectangular matrix using divide-and-conquer.
gams d6

file lapack/single/ssygv.f
prec single
for  Computes all eigenvalues and the eigenvectors of  a generalized
,    symmetric-definite generalized eigenproblem,
,    Ax= lambda Bx,  ABx= lambda x,  or BAx= lambda x.
gams d4b1

file lapack/single/ssygvd.f
prec single
for  Computes all eigenvalues and the eigenvectors of  a generalized
,    symmetric-definite generalized eigenproblem,
,    Ax= lambda Bx,  ABx= lambda x,  or BAx= lambda x.
,    If eigenvectors are desired, it uses a divide and conquer algorithm.
gams d4b1

file lapack/single/sspgv.f
prec single
for  Computes all eigenvalues and eigenvectors of  a generalized
,    symmetric-definite generalized eigenproblem,  Ax= lambda
,    Bx,  ABx= lambda x,  or BAx= lambda x, where A and B are in packed
,    storage.
gams d4b1

file lapack/single/sspgvd.f
prec single
for  Computes all eigenvalues and eigenvectors of  a generalized
,    symmetric-definite generalized eigenproblem,  Ax= lambda
,    Bx,  ABx= lambda x,  or BAx= lambda x, where A and B are in packed
,    storage.
,    If eigenvectors are desired, it uses a divide and conquer algorithm.
gams d4b1

file lapack/single/ssbgv.f
prec single
for  Computes all the eigenvalues, and optionally, the eigenvectors
,    of a real generalized symmetric-definite banded eigenproblem, of
,    the form A*x=(lambda)*B*x.  A and B are assumed to be symmetric
,    and banded, and B is also positive definite.

file lapack/single/ssbgvd.f
prec single
for  Computes all the eigenvalues, and optionally, the eigenvectors
,    of a real generalized symmetric-definite banded eigenproblem, of
,    the form A*x=(lambda)*B*x.  A and B are assumed to be symmetric
,    and banded, and B is also positive definite.
,    If eigenvectors are desired, it uses a divide and conquer algorithm.

file lapack/single/sgegs.f
prec single
for  Computes the generalized eigenvalues, Schur form, and left and/or
,    right Schur vectors for a pair of nonsymmetric matrices

file lapack/single/sgges.f
prec single
for  Computes the generalized eigenvalues, Schur form, and left and/or
,    right Schur vectors for a pair of nonsymmetric matrices

file lapack/single/sgegv.f
prec single
for  Computes the generalized eigenvalues, and left and/or right
,    generalized eigenvectors for a pair of nonsymmetric matrices

file lapack/single/sggev.f
prec single
for  Computes the generalized eigenvalues, and left and/or right
,    generalized eigenvectors for a pair of nonsymmetric matrices

file lapack/single/sggsvd.f
prec single
for  Computes the Generalized Singular Value Decomposition

# -----------------------------------------
# Available EXPERT and RRR DRIVER routines:
# -----------------------------------------

file lapack/single/sgesvx.f
prec single
for  Solves a general system of linear equations AX=B, A**T X=B
,    or A**H X=B, and provides an estimate of the condition number
,    and error bounds on the solution.
gams d2a1

file lapack/single/sgbsvx.f
prec single
for  Solves a general banded system of linear equations AX=B,
,    A**T X=B or A**H X=B, and provides an estimate of the condition
,    number and error bounds on the solution.
gams d2a2

file lapack/single/sgtsvx.f
prec single
for  Solves a general tridiagonal system of linear equations AX=B,
,    A**T X=B or A**H X=B, and provides an estimate of the condition
,    number  and error bounds on the solution.
gams d2a2a

file lapack/single/sposvx.f
prec single
for  Solves a symmetric positive definite system of linear
,    equations AX=B, and provides an estimate of the condition number
,    and error bounds on the solution.
gams d2b1b

file lapack/single/sppsvx.f
prec single
for  Solves a symmetric positive definite system of linear
,    equations AX=B, where A is held in packed storage, and provides
,    an estimate of the condition number and error bounds on the
,    solution.
gams d2b1b

file lapack/single/spbsvx.f
prec single
for  Solves a symmetric positive definite banded system
,    of linear equations AX=B, and provides an estimate of the condition
,    number and error bounds on the solution.
gams d2b2

file lapack/single/sptsvx.f
prec single
for  Solves a symmetric positive definite tridiagonal
,    system of linear equations AX=B, and provides an estimate of
,    the condition number and error bounds on the solution.
gams d2b2a

file lapack/single/ssysvx.f
prec single
for  Solves a real symmetric
,    indefinite system  of linear equations AX=B, and provides an
,    estimate of the condition number and error bounds on the solution.
gams d2b1a

file lapack/single/sspsvx.f
prec single
for  Solves a real symmetric
,    indefinite system of linear equations AX=B, where A is held
,    in packed storage, and provides an estimate of the condition
,    number and error bounds on the solution.
gams d2b1a

file lapack/single/sgelsx.f
prec single
for  Computes the minimum norm least squares solution to an over-
,    or under-determined system of linear equations A X=B, using a
,    complete orthogonal factorization of A.
gams d9a1

file lapack/single/sgelsy.f
prec single
for  Computes the minimum norm least squares solution to an over-
,    or under-determined system of linear equations A X=B, using a
,    complete orthogonal factorization of A.
gams d9a1

file lapack/single/sgelss.f
prec single
for  Computes the minimum norm least squares solution to an over-
,    or under-determined system of linear equations A X=B,  using
,    the singular value decomposition of A.
gams d9a1

file lapack/single/ssyevx.f
prec single
for  Computes selected eigenvalues and eigenvectors of a symmetric matrix.
gams d4a1

file lapack/single/ssyevr.f
prec single
for  Computes selected eigenvalues, and optionally, eigenvectors of a real
,    symmetric matrix.  Eigenvalues are computed by the dqds
,    algorithm, and eigenvectors are computed from various "good" LDL^T
,    representations (also known as Relatively Robust Representations).
gams d4a1, d4a5

file lapack/single/ssygvx.f
prec single
for  Computes selected eigenvalues, and optionally, the eigenvectors of
,    a generalized symmetric-definite generalized eigenproblem,
,    Ax= lambda Bx,  ABx= lambda x,  or BAx= lambda x.
gams d4b1

file lapack/single/sspevx.f
prec single
for  Computes selected eigenvalues and eigenvectors of a
,    symmetric matrix in packed storage.
gams d4a1

file lapack/single/sspgvx.f
prec single
for  Computes selected eigenvalues, and optionally, eigenvectors of
,    a generalized symmetric-definite generalized eigenproblem,  Ax= lambda
,    Bx,  ABx= lambda x,  or BAx= lambda x, where A and B are in packed
,    storage.
gams d4b1

file lapack/single/ssbevx.f
prec single
for  Computes selected eigenvalues and eigenvectors of a
,    symmetric band matrix.
gams d4a1, d4a6

file lapack/single/ssbgvx.f
prec single
for  Computes selected eigenvalues, and optionally, the eigenvectors
,    of a real generalized symmetric-definite banded eigenproblem, of
,    the form A*x=(lambda)*B*x.  A and B are assumed to be symmetric
,    and banded, and B is also positive definite.

file lapack/single/sstevx.f
prec single
for  Computes selected eigenvalues and eigenvectors of a real
,    symmetric tridiagonal matrix.
gams d4a1, d4a5

file lapack/single/sstevr.f
prec single
for  Computes selected eigenvalues, and optionally, eigenvectors of a real
,    symmetric tridiagonal matrix.  Eigenvalues are computed by the dqds
,    algorithm, and eigenvectors are computed from various "good" LDL^T
,    representations (also known as Relatively Robust Representations).
gams d4a1, d4a5

file lapack/single/sgeesx.f
prec single
for  Computes the eigenvalues and Schur factorization of a general
,    matrix, orders the factorization so that selected eigenvalues
,    are at the top left of the Schur form, and computes reciprocal
,    condition numbers for the average of the selected eigenvalues,
,    and for the associated right invariant subspace.
gams d4a2

file lapack/single/sggesx.f
prec single
for  Computes the generalized eigenvalues, the real Schur form, and,
,    optionally, the left and/or right matrices of Schur vectors.

file lapack/single/sgeevx.f
prec single
for  Computes the eigenvalues and left and right eigenvectors of
,    a general matrix,  with preliminary balancing of the matrix,
,    and computes reciprocal condition numbers for the eigenvalues
,    and right eigenvectors.
gams d4a2

file lapack/single/sggevx.f
prec single
for  Computes the generalized eigenvalues, and optionally, the left
,    and/or right generalized eigenvectors.

# ---------------------------------
# Available COMPUTATIONAL routines:
# ---------------------------------

file lapack/single/sbdsdc.f
prec single
for  Computes the singular value decomposition (SVD) of a real bidiagonal
,    matrix, using a divide and conquer method.
gams d6

file lapack/single/sbdsqr.f
prec single
for  Computes the singular value decomposition (SVD) of a real bidiagonal
,    matrix, using the bidiagonal QR algorithm.
gams d6

file lapack/single/sdisna.f
prec single
for  Computes the reciprocal condition numbers for the eigenvectors of a
,    real symmetric or complex Hermitian matrix or for the left or right
,    singular vectors of a general matrix.

file lapack/single/sgbbrd.f
prec single
,    Reduces a general band matrix to real upper bidiagonal form
,    by an orthogonal transformation.

file lapack/single/sgbcon.f
prec single
for  Estimates the reciprocal of the condition number of a general
,    band matrix, in either the 1-norm or the infinity-norm, using
,    the LU factorization computed by SGBTRF.
gams d2a2

file lapack/single/sgbequ.f
prec single
for  Computes row and column scalings to equilibrate a general band
,    matrix and reduce its condition number.
gams d2a2

file lapack/single/sgbrfs.f
prec single
for  Improves the computed solution to a general banded system of
,    linear equations AX=B, A**T X=B or A**H X=B, and provides forward
,    and backward error bounds for the solution.
gams d2a2

file lapack/single/sgbtrf.f
prec single
for  Computes an LU factorization of a general band matrix, using
,    partial pivoting with row interchanges.
gams d2a2

file lapack/single/sgbtrs.f
prec single
for  Solves a general banded system of linear equations AX=B,
,    A**T X=B or A**H X=B, using the LU factorization computed
,    by SGBTRF.
gams d2a2

file lapack/single/sgebak.f
prec single
for  Transforms eigenvectors of a balanced matrix to those of the
,    original matrix supplied to SGEBAL.
gams d4c4

file lapack/single/sgebal.f
prec single
for  Balances a general matrix in order to improve the accuracy
,    of computed eigenvalues.
gams d4c1a

file lapack/single/sgebrd.f
prec single
for  Reduces a general rectangular matrix to real bidiagonal form
,    by an orthogonal transformation.
gams d6

file lapack/single/sgecon.f
prec single
for  Estimates the reciprocal of the condition number of a general
,    matrix, in either the 1-norm or the infinity-norm, using the
,    LU factorization computed by SGETRF.
gams d2a1

file lapack/single/sgeequ.f
prec single
for  Computes row and column scalings to equilibrate a general
,    rectangular matrix and reduce its condition number.
gams d2a1

file lapack/single/sgehrd.f
prec single
for  Reduces a general matrix to upper Hessenberg form by an
,    orthogonal similarity transformation.
gams d4c1b2

file lapack/single/sgelqf.f
prec single
for  Computes an LQ factorization of a general rectangular matrix.
gams d5

file lapack/single/sgeqlf.f
prec single
for  Computes a QL factorization of a general rectangular matrix.
gams d5

file lapack/single/sgeqp3.f
prec single
for  Computes a QR factorization with column pivoting of a general
,    rectangular matrix using Level 3 BLAS.
gams d5

file lapack/single/sgeqpf.f
prec single
for  Computes a QR factorization with column pivoting of a general
,    rectangular matrix.
gams d5

file lapack/single/sgeqrf.f
prec single
for  Computes a QR factorization of a general rectangular matrix.
gams d5

file lapack/single/sgerfs.f
prec single
for  Improves the computed solution to a general system of linear
,    equations AX=B, A**T X=B or A**H X=B, and provides forward and
,    backward error bounds for the solution.
gams d2a1

file lapack/single/sgerqf.f
prec single
for  Computes an RQ factorization of a general rectangular matrix.
gams d5

file lapack/single/sgetrf.f
prec single
for  Computes an LU factorization of a general matrix, using partial
,    pivoting with row interchanges.
gams d2a1

file lapack/single/sgetri.f
prec single
for  Computes the inverse of a general matrix, using the LU factorization
,    computed by SGETRF.
gams d2a1

file lapack/single/sgetrs.f
prec single
for  Solves a general system of linear equations AX=B, A**T X=B
,    or A**H X=B, using the LU factorization computed by SGETRF.
gams d2a1

file lapack/single/sggbak.f
prec single
For  Forms the right or left eigenvectors of the generalized eigenvalue
,    problem by backward transformation on the computed eigenvectors of
,    the balanced pair of matrices output by SGGBAL.

file lapack/single/sggbal.f
prec single
For  Balances a pair of general real matrices for the generalized
,    eigenvalue problem A x = lambda B x.

file lapack/single/sgghrd.f
prec single
for  Reduces a pair of real matrices to generalized upper
,    Hessenberg form using orthogonal transformations 

file lapack/single/sggqrf.f
prec single
for  Computes a generalized QR factorization of a pair of matrices. 

file lapack/single/sggrqf.f
prec single
for  Computes a generalized RQ factorization of a pair of matrices.

file lapack/single/sggsvp.f
prec single
for  Computes orthogonal matrices as a preprocessing step
,    for computing the generalized singular value decomposition

file lapack/single/sgtcon.f
prec single
for  Estimates the reciprocal of the condition number of a general
,    tridiagonal matrix, in either the 1-norm or the infinity-norm,
,    using the LU factorization computed by SGTTRF.
gams d2a2a

file lapack/single/sgtrfs.f
prec single
for  Improves the computed solution to a general tridiagonal system
,    of linear equations AX=B, A**T X=B or A**H X=B, and provides
,    forward and backward error bounds for the solution.
gams d2a2a

file lapack/single/sgttrf.f
prec single
for  Computes an LU factorization of a general tridiagonal matrix,
,    using partial pivoting with row interchanges.
gams d2a2a

file lapack/single/sgttrs.f
prec single
for  Solves a general tridiagonal system of linear equations AX=B,
,    A**T X=B or A**H X=B, using the LU factorization computed by
,    SGTTRF.
gams d2a2a

file lapack/single/shgeqz.f
prec single
for  Implements a single-/double-shift version of the QZ method for
,    finding the generalized eigenvalues of the equation 
,    det(A - w(i) B) = 0

file lapack/single/shsein.f
prec single
for  Computes specified right and/or left eigenvectors of an upper
,    Hessenberg matrix by inverse iteration.
gams d4c3

file lapack/single/shseqr.f
prec single
for  Computes the eigenvalues and Schur factorization of an upper
,    Hessenberg matrix, using the multishift QR algorithm.
gams d4c2b

file lapack/single/sopgtr.f
prec single
for  Generates the orthogonal transformation matrix from
,    a reduction to tridiagonal form determined by SSPTRD.
gams d4c1b1

file lapack/single/sopmtr.f
prec single
for  Multiplies a general matrix by the orthogonal
,    transformation matrix from a reduction to tridiagonal form
,    determined by SSPTRD.
gams d4c4

file lapack/single/sorgbr.f
prec single
for  Generates the orthogonal transformation matrices from
,    a reduction to bidiagonal form determined by SGEBRD.
gams d6

file lapack/single/sorghr.f
prec single
for  Generates the orthogonal transformation matrix from
,    a reduction to Hessenberg form determined by SGEHRD.
gams d4c1b2

file lapack/single/sorglq.f
prec single
for  Generates all or part of the orthogonal matrix Q from
,    an LQ factorization determined by SGELQF.
gams d5

file lapack/single/sorgql.f
prec single
for  Generates all or part of the orthogonal matrix Q from
,    a QL factorization determined by SGEQLF.
gams d5

file lapack/single/sorgqr.f
prec single
for  Generates all or part of the orthogonal matrix Q from
,    a QR factorization determined by SGEQRF.
gams d5

file lapack/single/sorgrq.f
prec single
for  Generates all or part of the orthogonal matrix Q from
,    an RQ factorization determined by SGERQF.
gams d5

file lapack/single/sorgtr.f
prec single
for  Generates the orthogonal transformation matrix from
,    a reduction to tridiagonal form determined by SSYTRD.
gams d4c1b1

file lapack/single/sormbr.f
prec single
for  Multiplies a general matrix by one of the orthogonal
,    transformation  matrices from a reduction to bidiagonal form
,    determined by SGEBRD.
gams d6

file lapack/single/sormhr.f
prec single
for  Multiplies a general matrix by the orthogonal transformation
,    matrix from a reduction to Hessenberg form determined by SGEHRD.
gams d4c4

file lapack/single/sormlq.f
prec single
for  Multiplies a general matrix by the orthogonal matrix
,    from an LQ factorization determined by SGELQF.
gams d5

file lapack/single/sormql.f
prec single
for  Multiplies a general matrix by the orthogonal matrix
,    from a QL factorization determined by SGEQLF.
gams d5

file lapack/single/sormqr.f
prec single
for  Multiplies a general matrix by the orthogonal matrix
,    from a QR factorization determined by SGEQRF.
gams d5

file lapack/single/sormr3.f
prec single
for  Multiples a general matrix by the orthogonal matrix
,    from an RZ factorization determined by STZRZF.

file lapack/single/sormrq.f
prec single
for  Multiplies a general matrix by the orthogonal matrix
,    from an RQ factorization determined by SGERQF.
gams d5

file lapack/single/sormrz.f
prec single
for  Multiples a general matrix by the orthogonal matrix
,    from an RZ factorization determined by STZRZF.

file lapack/single/sormtr.f
prec single
for  Multiplies a general matrix by the orthogonal
,    transformation matrix from a reduction to tridiagonal form
,    determined by SSYTRD.
gams d4c4

file lapack/single/spbcon.f
prec single
for  Estimates the reciprocal of the condition number of a
,    symmetric positive definite band matrix, using the
,    Cholesky factorization computed by SPBTRF.
gams d2b2

file lapack/single/spbequ.f
prec single
for  Computes row and column scalings to equilibrate a symmetric
,    positive definite band matrix and reduce its condition number.
gams d2b2

file lapack/single/spbrfs.f
prec single
for  Improves the computed solution to a symmetric positive
,    definite banded system of linear equations AX=B, and provides
,    forward and backward error bounds for the solution.
gams d2b2

file lapack/single/spbstf.f
prec single
for  Computes a split Cholesky factorization of a real symmetric positive
,    definite band matrix.

file lapack/single/spbtrf.f
prec single
for  Computes the Cholesky factorization of a symmetric
,    positive definite band matrix.
gams d2b2

file lapack/single/spbtrs.f
prec single
for  Solves a symmetric positive definite banded system
,    of linear equations AX=B, using the Cholesky factorization
,    computed by SPBTRF.
gams d2b2

file lapack/single/spocon.f
prec single
for  Estimates the reciprocal of the condition number of a
,    symmetric positive definite matrix, using the
,    Cholesky factorization computed by SPOTRF.
gams d2b1b

file lapack/single/spoequ.f
prec single
for  Computes row and column scalings to equilibrate a symmetric
,    positive definite matrix and reduce its condition number.
gams d2b1b

file lapack/single/sporfs.f
prec single
for  Improves the computed solution to a symmetric positive
,    definite system of linear equations AX=B, and provides forward
,    and backward error bounds for the solution.
gams d2b1b

file lapack/single/spotrf.f
prec single
for  Computes the Cholesky factorization of a symmetric
,    positive definite matrix.
gams d2b1b

file lapack/single/spotri.f
prec single
for  Computes the inverse of a symmetric positive definite
,    matrix, using the Cholesky factorization computed by SPOTRF.
gams d2b1b

file lapack/single/spotrs.f
prec single
for  Solves a symmetric positive definite system of linear
,    equations AX=B, using the Cholesky factorization computed by
,    SPOTRF.
gams d2b1b

file lapack/single/sppcon.f
prec single
for  Estimates the reciprocal of the condition number of a
,    symmetric positive definite matrix in packed storage,
,    using the Cholesky factorization computed by SPPTRF.
gams d2b1b

file lapack/single/sppequ.f
prec single
for  Computes row and column scalings to equilibrate a symmetric
,    positive definite matrix in packed storage and reduce its condition
,    number.
gams d2b1b

file lapack/single/spprfs.f
prec single
for  Improves the computed solution to a symmetric positive
,    definite system of linear equations AX=B, where A is held in
,    packed storage, and provides forward and backward error bounds
,    for the solution.
gams d2b1b

file lapack/single/spptrf.f
prec single
for  Computes the Cholesky factorization of a symmetric
,    positive definite matrix in packed storage.
gams d2b1b

file lapack/single/spptri.f
prec single
for  Computes the inverse of a symmetric positive definite
,    matrix in packed storage, using the Cholesky factorization computed
,    by SPPTRF.
gams d2b1b

file lapack/single/spptrs.f
prec single
for  Solves a symmetric positive definite system of linear
,    equations AX=B, where A is held in packed storage, using the
,    Cholesky factorization computed by SPPTRF.
gams d2b1b

file lapack/single/sptcon.f
prec single
for  Computes the reciprocal of the condition number of a
,    symmetric positive definite tridiagonal matrix,
,    using the LDL**H factorization computed by SPTTRF.
gams d2b2a

file lapack/single/spteqr.f
prec single
for  Computes all eigenvalues and eigenvectors of a real symmetric
,    positive definite tridiagonal matrix, by computing the SVD of
,    its bidiagonal Cholesky factor.
gams d4c2a

file lapack/single/sptrfs.f
prec single
for  Improves the computed solution to a symmetric positive
,    definite tridiagonal system of linear equations AX=B, and provides
,    forward and backward error bounds for the solution.
gams d2b2a

file lapack/single/spttrf.f
prec single
for  Computes the LDL**H factorization of a symmetric
,    positive definite tridiagonal matrix.
gams d2b2a

file lapack/single/spttrs.f
prec single
for  Solves a symmetric positive definite tridiagonal
,    system of linear equations, using the LDL**H factorization
,    computed by SPTTRF.
gams d2b2a

file lapack/single/ssbgst.f
prec single
for  Reduces a real symmetric-definite banded generalized eigenproblem
,    A x = lambda B x to standard form, where B has been factorized by
,    SPBSTF (Crawford's algorithm).

file lapack/single/ssbtrd.f
prec single
for  Reduces a symmetric band matrix to real symmetric
,    tridiagonal form by an orthogonal similarity transformation.
gams d4c1b1

file lapack/single/sspcon.f
prec single
for  Estimates the reciprocal of the condition number of a
,    real symmetric indefinite
,    matrix in packed storage, using the factorization computed
,    by SSPTRF.
gams d2b1a

file lapack/single/sspgst.f
prec single
for  Reduces a symmetric-definite generalized eigenproblem
,    Ax= lambda Bx,  ABx= lambda x,  or BAx= lambda x, to standard
,    form,  where A and B are held in packed storage, and B has been
,    factorized by SPPTRF.
gams d4c1c

file lapack/single/ssprfs.f
prec single
for  Improves the computed solution to a real
,    symmetric indefinite system of linear equations
,    AX=B, where A is held in packed storage, and provides forward
,    and backward error bounds for the solution.
gams d2b1a

file lapack/single/ssptrd.f
prec single
for  Reduces a symmetric matrix in packed storage to real
,    symmetric tridiagonal form by an orthogonal similarity
,    transformation.
gams d4c1b1

file lapack/single/ssptrf.f
prec single
for  Computes the factorization of a real
,    symmetric-indefinite matrix in packed storage,
,    using the diagonal pivoting method.
gams d2b1a

file lapack/single/ssptri.f
prec single
for  Computes the inverse of a real symmetric
,    indefinite matrix in packed storage, using the factorization
,    computed by SSPTRF.
gams d2b1a

file lapack/single/ssptrs.f
prec single
for  Solves a real symmetric
,    indefinite system of linear equations AX=B, where A is held
,    in packed storage, using the factorization computed
,    by SSPTRF.
gams d2b1a

file lapack/single/sstebz.f
prec single
for  Computes selected eigenvalues of a real symmetric tridiagonal
,    matrix by bisection.
gams d4c2a

file lapack/single/sstedc.f
prec single
for  Computes all eigenvalues and, optionally, eigenvectors of a
,    symmetric tridiagonal matrix using the divide and conquer algorithm.

file lapack/single/sstegr.f
prec single
for  Computes selected eigenvalues and, optionally, eigenvectors of a
,    symmetric tridiagonal matrix.  The eigenvalues are computed by the
,    dqds algorithm, while eigenvectors are computed from various "good"
,    LDL^T representations (also known as Relatively Robust Representations.)

file lapack/single/sstein.f
prec single
for  Computes selected eigenvectors of a real symmetric tridiagonal
,    matrix by inverse iteration.
gams d4c3

file lapack/single/ssteqr.f
prec single
for  Computes all eigenvalues and eigenvectors of a real symmetric
,    tridiagonal matrix, using the implicit QL or QR algorithm.
gams d4a1, d4a5, d4c2a

file lapack/single/ssterf.f
prec single
for  Computes all eigenvalues of a real symmetric tridiagonal matrix,
,    using a root-free variant of the QL or QR algorithm.
gams d4c2a

file lapack/single/ssycon.f
prec single
for  Estimates the reciprocal of the condition number of a
,    real symmetric indefinite matrix,
,    using the factorization computed by SSYTRF.
gams d2b1a

file lapack/single/ssygst.f
prec single
for  Reduces a symmetric-definite generalized eigenproblem
,    Ax= lambda Bx,  ABx= lambda x,  or BAx= lambda x, to standard
,    form, where B has been factorized by SPOTRF.
gams d4c1c

file lapack/single/ssyrfs.f
prec single
for  Improves the computed solution to a real
,    symmetric indefinite system of linear equations
,    AX=B, and provides forward and backward error bounds for the
,    solution.
gams d2b1a

file lapack/single/ssytrd.f
prec single
for  Reduces a symmetric matrix to real symmetric tridiagonal
,    form by an orthogonal similarity transformation.
gams d4c1b1

file lapack/single/ssytrf.f
prec single
for  Computes the factorization of a real symmetric-indefinite matrix,
,    using the diagonal pivoting method.
gams d2b1a

file lapack/single/ssytri.f
prec single
for  Computes the inverse of a real symmetric indefinite matrix,
,    using the factorization computed by SSYTRF.
gams d2b1a

file lapack/single/ssytrs.f
prec single
for  Solves a real symmetric indefinite system of linear equations AX=B,
,    using the factorization computed by SSPTRF.
gams d2b1a

file lapack/single/stbcon.f
prec single
for  Estimates the reciprocal of the condition number of a triangular
,    band matrix, in either the 1-norm or the infinity-norm.
gams d2a2, d2a3

file lapack/single/stbrfs.f
prec single
for  Provides forward and backward error bounds for the solution
,    of a triangular banded system of linear equations AX=B,
,    A**T X=B or A**H X=B.
gams d2a2, d2a3

file lapack/single/stbtrs.f
prec single
for  Solves a triangular banded system of linear equations AX=B,
,    A**T X=B or A**H X=B.
gams d2a2, d2a3

file lapack/single/stgevc.f
prec single
for  Computes some or all of the right and/or left generalized eigenvectors
,    of a pair of upper triangular matrices.
gams d4b2

file lapack/single/stgexc.f
prec single
for  Reorders the generalized real Schur decomposition of a real
,    matrix pair (A,B) using an orthogonal equivalence transformation
,    so that the diagonal block of (A,B) with row index IFST is moved
,    to row ILST.

file lapack/single/stgsen.f
prec single
for  Reorders the generalized real Schur decomposition of a real
,    matrix pair (A, B) so that a selected cluster of eigenvalues
,    appears in the leading diagonal blocks of the upper quasi-triangular
,    matrix A and the upper triangular B.

file lapack/single/stgsja.f
prec single
for  Computes the generalized singular value decomposition of two real
,    upper triangular (or trapezoidal) matrices as output by SGGSVP.
gams d6

file lapack/single/stgsna.f
prec single
for  Estimates reciprocal condition numbers for specified
,    eigenvalues and/or eigenvectors of a matrix pair (A, B) in
,    generalized real Schur canonical form, as returned by SGGES.

file lapack/single/stgsyl.f
prec single
for  Solves the generalized Sylvester equation.

file lapack/single/stpcon.f
prec single
for  Estimates the reciprocal of the condition number of a triangular
,    matrix in packed storage, in either the 1-norm or the infinity-norm.
gams d2a3

file lapack/single/stprfs.f
prec single
for  Provides forward and backward error bounds for the solution
,    of a triangular system of linear equations AX=B, A**T X=B or
,    A**H X=B, where A is held in packed storage.
gams d2a3

file lapack/single/stptri.f
prec single
for   Computes the inverse of a triangular matrix in packed storage.
gams d2a3

file lapack/single/stptrs.f
prec single
for  Solves a triangular system of linear equations AX=B,
,    A**T X=B or A**H X=B, where A is held in packed storage.
gams d2a3

file lapack/single/strcon.f
prec single
for  Estimates the reciprocal of the condition number of a triangular
,    matrix, in either the 1-norm or the infinity-norm.
gams d2a3

file lapack/single/strevc.f
prec single
for  Computes some or all of the right and/or left eigenvectors of
,    an upper quasi-triangular matrix.
gams d4c3

file lapack/single/strexc.f
prec single
for  Reorders the Schur factorization of a matrix by an orthogonal
,    similarity transformation.
gams d4c

file lapack/single/strrfs.f
prec single
for  Provides forward and backward error bounds for the solution
,    of a triangular system of linear equations A X=B, A**T X=B or
,    A**H X=B.
gams d2a3

file lapack/single/strsen.f
prec single
for  Reorders the Schur factorization of a matrix in order to find
,    an orthonormal basis of a right invariant subspace corresponding
,    to selected eigenvalues, and returns reciprocal condition numbers
,    (sensitivities) of the average of the cluster of eigenvalues
,    and of the invariant subspace.
gams d4c

file lapack/single/strsna.f
prec single
for  Estimates the reciprocal condition numbers (sensitivities)
,    of selected eigenvalues and eigenvectors of an upper
,    quasi-triangular matrix.
gams d4c

file lapack/single/strsyl.f
prec single
for  Solves the Sylvester matrix equation A X +/- X B=C where A
,    and B are upper quasi-triangular, and may be transposed.
gams d8

file lapack/single/strtri.f
prec single
for  Computes the inverse of a triangular matrix.
gams d2a3

file lapack/single/strtrs.f
prec single
for  Solves a triangular system of linear equations AX=B,
,    A**T X=B or A**H X=B.
gams d2a3

file lapack/single/stzrqf.f
prec single
for  Computes an RQ factorization of an upper trapezoidal matrix.
gams d5

file lapack/single/stzrzf.f
prec single
for  Computes an RZ factorization of an upper trapezoidal matrix
,    (blocked version of STZRQF).

.