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

file lapack/double/dgesv.f
for  Solves a general system of linear equations AX=B.
gams d2a1

file lapack/double/dgbsv.f
for  Solves a general banded system of linear equations AX=B.
gams d2a2

file lapack/double/dgtsv.f
for  Solves a general tridiagonal system of linear equations AX=B.
gams d2a2a

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

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

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

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

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

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

file lapack/double/dgels.f
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/double/dgelsd.f
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/double/dgglse.f
for  Solves the LSE (Constrained Linear Least Squares Problem) using
,    the GRQ (Generalized RQ) factorization
gams d9b1

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

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

file lapack/double/dsyevd.f
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/double/dspev.f
for  Computes all eigenvalues, and optionally, eigenvectors of a real
,    symmetric matrix in packed storage.
gams d4a1

file lapack/double/dspevd.f
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/double/dsbev.f
for  Computes all eigenvalues, and optionally, eigenvectors of a real
,    symmetric band matrix.
gams d4a1, d4a6

file lapack/double/dsbevd.f
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/double/dstev.f
for  Computes all eigenvalues, and optionally, eigenvectors of a real
,    symmetric tridiagonal matrix.
gams d4a1, d4a5

file lapack/double/dstevd.f
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/double/dgees.f
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/double/dgeev.f
for  Computes the eigenvalues and left and right eigenvectors of
,    a general matrix.
gams d4a2

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

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

file lapack/double/dsygv.f
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/double/dsygvd.f
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/double/dspgv.f
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/double/dspgvd.f
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/double/dsbgv.f
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/double/dsbgvd.f
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/double/dgegs.f
for  Computes the generalized eigenvalues, Schur form, and left and/or
,    right Schur vectors for a pair of nonsymmetric matrices

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

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

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

file lapack/double/dggsvd.f
for  Computes the Generalized Singular Value Decomposition

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

file lapack/double/dgesvx.f
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/double/dgbsvx.f
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/double/dgtsvx.f
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/double/dposvx.f
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/double/dppsvx.f
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/double/dpbsvx.f
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/double/dptsvx.f
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/double/dsysvx.f
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/double/dspsvx.f
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/double/dgelsx.f
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/double/dgelsy.f
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/double/dgelss.f
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/double/dsyevx.f
for  Computes selected eigenvalues and eigenvectors of a symmetric matrix.
gams d4a1

file lapack/double/dsyevr.f
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/double/dsygvx.f
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/double/dspevx.f
for  Computes selected eigenvalues and eigenvectors of a
,    symmetric matrix in packed storage.
gams d4a1

file lapack/double/dspgvx.f
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/double/dsbevx.f
for  Computes selected eigenvalues and eigenvectors of a
,    symmetric band matrix.
gams d4a1, d4a6

file lapack/double/dsbgvx.f
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/double/dstevx.f
for  Computes selected eigenvalues and eigenvectors of a real
,    symmetric tridiagonal matrix.
gams d4a1, d4a5

file lapack/double/dstevr.f
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/double/dgeesx.f
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/double/dggesx.f
for  Computes the generalized eigenvalues, the real Schur form, and,
,    optionally, the left and/or right matrices of Schur vectors.

file lapack/double/dgeevx.f
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/double/dggevx.f
for  Computes the generalized eigenvalues, and optionally, the left
,    and/or right generalized eigenvectors.

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

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

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

file lapack/double/ddisna.f
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/double/dgbbrd.f
,    Reduces a general band matrix to real upper bidiagonal form
,    by an orthogonal transformation.

file lapack/double/dgbcon.f
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 DGBTRF.
gams d2a2

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

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

file lapack/double/dgbtrs.f
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 DGBTRF.
gams d2a2

file lapack/double/dgebak.f
for  Transforms eigenvectors of a balanced matrix to those of the
,    original matrix supplied to DGEBAL.
gams d4c4

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

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

file lapack/double/dgecon.f
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 DGETRF.
gams d2a1

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

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

file lapack/double/dgelqf.f
for  Computes an LQ factorization of a general rectangular matrix.
gams d5

file lapack/double/dgeqlf.f
for  Computes a QL factorization of a general rectangular matrix.
gams d5

file lapack/double/dgeqp3.f
for  Computes a QR factorization with column pivoting of a general
,    rectangular matrix using Level 3 BLAS.
gams d5

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

file lapack/double/dgeqrf.f
for  Computes a QR factorization of a general rectangular matrix.
gams d5

file lapack/double/dgerfs.f
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/double/dgerqf.f
for  Computes an RQ factorization of a general rectangular matrix.
gams d5

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

file lapack/double/dgetri.f
for  Computes the inverse of a general matrix, using the LU factorization
,    computed by DGETRF.
gams d2a1

file lapack/double/dgetrs.f
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 DGETRF.
gams d2a1

file lapack/double/dggbak.f
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 DGGBAL.

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

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

file lapack/double/dggqrf.f
for  Computes a generalized QR factorization of a pair of matrices. 

file lapack/double/dggrqf.f
for  Computes a generalized RQ factorization of a pair of matrices.

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

file lapack/double/dgtcon.f
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 DGTTRF.
gams d2a2a

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

file lapack/double/dgttrs.f
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
,    DGTTRF.
gams d2a2a

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

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

file lapack/double/dopgtr.f
for  Generates the orthogonal transformation matrix from
,    a reduction to tridiagonal form determined by DSPTRD.
gams d4c1b1

file lapack/double/dopmtr.f
for  Multiplies a general matrix by the orthogonal
,    transformation matrix from a reduction to tridiagonal form
,    determined by DSPTRD.
gams d4c4

file lapack/double/dorgbr.f
for  Generates the orthogonal transformation matrices from
,    a reduction to bidiagonal form determined by DGEBRD.
gams d6

file lapack/double/dorghr.f
for  Generates the orthogonal transformation matrix from
,    a reduction to Hessenberg form determined by DGEHRD.
gams d4c1b2

file lapack/double/dorglq.f
for  Generates all or part of the orthogonal matrix Q from
,    an LQ factorization determined by DGELQF.
gams d5

file lapack/double/dorgql.f
for  Generates all or part of the orthogonal matrix Q from
,    a QL factorization determined by DGEQLF.
gams d5

file lapack/double/dorgqr.f
for  Generates all or part of the orthogonal matrix Q from
,    a QR factorization determined by DGEQRF.
gams d5

file lapack/double/dorgrq.f
for  Generates all or part of the orthogonal matrix Q from
,    an RQ factorization determined by DGERQF.
gams d5

file lapack/double/dorgtr.f
for  Generates the orthogonal transformation matrix from
,    a reduction to tridiagonal form determined by DSYTRD.
gams d4c1b1

file lapack/double/dormbr.f
for  Multiplies a general matrix by one of the orthogonal
,    transformation  matrices from a reduction to bidiagonal form
,    determined by DGEBRD.
gams d6

file lapack/double/dormhr.f
for  Multiplies a general matrix by the orthogonal transformation
,    matrix from a reduction to Hessenberg form determined by DGEHRD.
gams d4c4

file lapack/double/dormlq.f
for  Multiplies a general matrix by the orthogonal matrix
,    from an LQ factorization determined by DGELQF.
gams d5

file lapack/double/dormql.f
for  Multiplies a general matrix by the orthogonal matrix
,    from a QL factorization determined by DGEQLF.
gams d5

file lapack/double/dormqr.f
for  Multiplies a general matrix by the orthogonal matrix
,    from a QR factorization determined by DGEQRF.
gams d5

file lapack/double/dormr3.f
for  Multiples a general matrix by the orthogonal matrix
,    from an RZ factorization determined by DTZRZF.

file lapack/double/dormrq.f
for  Multiplies a general matrix by the orthogonal matrix
,    from an RQ factorization determined by DGERQF.
gams d5

file lapack/double/dormrz.f
for  Multiples a general matrix by the orthogonal matrix
,    from an RZ factorization determined by DTZRZF.

file lapack/double/dormtr.f
for  Multiplies a general matrix by the orthogonal
,    transformation matrix from a reduction to tridiagonal form
,    determined by DSYTRD.
gams d4c4

file lapack/double/dpbcon.f
for  Estimates the reciprocal of the condition number of a
,    symmetric positive definite band matrix, using the
,    Cholesky factorization computed by DPBTRF.
gams d2b2

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

file lapack/double/dpbrfs.f
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/double/dpbstf.f
for  Computes a split Cholesky factorization of a real symmetric positive
,    definite band matrix.

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

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

file lapack/double/dpocon.f
for  Estimates the reciprocal of the condition number of a
,    symmetric positive definite matrix, using the
,    Cholesky factorization computed by DPOTRF.
gams d2b1b

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

file lapack/double/dporfs.f
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/double/dpotrf.f
for  Computes the Cholesky factorization of a symmetric
,    positive definite matrix.
gams d2b1b

file lapack/double/dpotri.f
for  Computes the inverse of a symmetric positive definite
,    matrix, using the Cholesky factorization computed by DPOTRF.
gams d2b1b

file lapack/double/dpotrs.f
for  Solves a symmetric positive definite system of linear
,    equations AX=B, using the Cholesky factorization computed by
,    DPOTRF.
gams d2b1b

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

file lapack/double/dppequ.f
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/double/dpprfs.f
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/double/dpptrf.f
for  Computes the Cholesky factorization of a symmetric
,    positive definite matrix in packed storage.
gams d2b1b

file lapack/double/dpptri.f
for  Computes the inverse of a symmetric positive definite
,    matrix in packed storage, using the Cholesky factorization computed
,    by DPPTRF.
gams d2b1b

file lapack/double/dpptrs.f
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 DPPTRF.
gams d2b1b

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

file lapack/double/dpteqr.f
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/double/dptrfs.f
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/double/dpttrf.f
for  Computes the LDL**H factorization of a symmetric
,    positive definite tridiagonal matrix.
gams d2b2a

file lapack/double/dpttrs.f
for  Solves a symmetric positive definite tridiagonal
,    system of linear equations, using the LDL**H factorization
,    computed by DPTTRF.
gams d2b2a

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

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

file lapack/double/dspcon.f
for  Estimates the reciprocal of the condition number of a
,    real symmetric indefinite
,    matrix in packed storage, using the factorization computed
,    by DSPTRF.
gams d2b1a

file lapack/double/dspgst.f
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 DPPTRF.
gams d4c1c

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

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

file lapack/double/dsptri.f
for  Computes the inverse of a real symmetric
,    indefinite matrix in packed storage, using the factorization
,    computed by DSPTRF.
gams d2b1a

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

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

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

file lapack/double/dstegr.f
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/double/dstein.f
for  Computes selected eigenvectors of a real symmetric tridiagonal
,    matrix by inverse iteration.
gams d4c3

file lapack/double/dsteqr.f
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/double/dsterf.f
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/double/dsycon.f
for  Estimates the reciprocal of the condition number of a
,    real symmetric indefinite matrix,
,    using the factorization computed by DSYTRF.
gams d2b1a

file lapack/double/dsygst.f
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 DPOTRF.
gams d4c1c

file lapack/double/dsyrfs.f
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/double/dsytrd.f
for  Reduces a symmetric matrix to real symmetric tridiagonal
,    form by an orthogonal similarity transformation.
gams d4c1b1

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

file lapack/double/dsytri.f
for  Computes the inverse of a real symmetric indefinite matrix,
,    using the factorization computed by DSYTRF.
gams d2b1a

file lapack/double/dsytrs.f
for  Solves a real symmetric indefinite system of linear equations AX=B,
,    using the factorization computed by DSPTRF.
gams d2b1a

file lapack/double/dtbcon.f
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/double/dtbrfs.f
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/double/dtbtrs.f
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/double/dtgevc.f
for  Computes some or all of the right and/or left generalized eigenvectors
,    of a pair of upper triangular matrices.
gams d4b2

file lapack/double/dtgexc.f
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/double/dtgsen.f
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/double/dtgsja.f
for  Computes the generalized singular value decomposition of two real
,    upper triangular (or trapezoidal) matrices as output by DGGSVP.
gams d6

file lapack/double/dtgsna.f
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 DGGES.

file lapack/double/dtgsyl.f
for  Solves the generalized Sylvester equation.

file lapack/double/dtpcon.f
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/double/dtprfs.f
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/double/dtptri.f
for   Computes the inverse of a triangular matrix in packed storage.
gams d2a3

file lapack/double/dtptrs.f
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/double/dtrcon.f
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/double/dtrevc.f
for  Computes some or all of the right and/or left eigenvectors of
,    an upper quasi-triangular matrix.
gams d4c3

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

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

file lapack/double/dtrsyl.f
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/double/dtrtri.f
for  Computes the inverse of a triangular matrix.
gams d2a3

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

file lapack/double/dtzrqf.f
for  Computes an RQ factorization of an upper trapezoidal matrix.
gams d5

file lapack/double/dtzrzf.f
for  Computes an RZ factorization of an upper trapezoidal matrix
,    (blocked version of DTZRQF).

.