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

file dgesv.c  dgesv.c plus dependencies
for  Solves a general system of linear equations AX=B.
gams d2a1

file dgbsv.c  dgbsv.c plus dependencies
for  Solves a general banded system of linear equations AX=B.
gams d2a2

file dgtsv.c  dgtsv.c plus dependencies
for  Solves a general tridiagonal system of linear equations AX=B.
gams d2a2a

file dposv.c  dposv.c plus dependencies
for  Solves a symmetric positive definite system of linear
,    equations AX=B.
gams d2b1b

file dppsv.c  dppsv.c plus dependencies
for  Solves a symmetric positive definite system of linear
,    equations AX=B, where A is held in packed storage.
gams d2b1b

file dpbsv.c  dpbsv.c plus dependencies
for  Solves a symmetric positive definite banded system
,    of linear equations AX=B.
gams d2b2

file dptsv.c  dptsv.c plus dependencies
for  Solves a symmetric positive definite tridiagonal system
,    of linear equations AX=B.
gams d2b2a

file dsysv.c  dsysv.c plus dependencies
for  Solves a real symmetric indefinite system of linear equations AX=B.
gams d2b1a

file dspsv.c  dspsv.c plus dependencies
for  Solves a real symmetric indefinite system of linear equations AX=B,
,    where A is held in packed storage.
gams d2b1a

file dgels.c  dgels.c plus dependencies
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 dgglse.c  dgglse.c plus dependencies
for  Solves the LSE (Constrained Linear Least Squares Problem) using
,    the GRQ (Generalized RQ) factorization
gams d9b1

file dggglm.c  dggglm.c plus dependencies
for  Solves the GLM (Generalized Linear Regression Model) using
,    the GQR (Generalized QR) factorization

file dsyev.c  dsyev.c plus dependencies
for  Computes all eigenvalues, and optionally, eigenvectors of a real
,    symmetric matrix.
gams d4a1

file dsyevd.c  dsyevd.c plus dependencies
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 dspev.c  dspev.c plus dependencies
for  Computes all eigenvalues, and optionally, eigenvectors of a real
,    symmetric matrix in packed storage.
gams d4a1

file dspevd.c  dspevd.c plus dependencies
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 dsbev.c  dsbev.c plus dependencies
for  Computes all eigenvalues, and optionally, eigenvectors of a real
,    symmetric band matrix.
gams d4a1, d4a6

file dsbevd.c  dsbevd.c plus dependencies
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 dstev.c  dstev.c plus dependencies
for  Computes all eigenvalues, and optionally, eigenvectors of a real
,    symmetric tridiagonal matrix.
gams d4a1, d4a5

file dstevd.c  dstevd.c plus dependencies
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 dgees.c  dgees.c plus dependencies
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 dgeev.c  dgeev.c plus dependencies
for  Computes the eigenvalues and left and right eigenvectors of
,    a general matrix.
gams d4a2

file dgesvd.c  dgesvd.c plus dependencies
for  Computes the singular value decomposition (SVD) of a general
,    rectangular matrix.
gams d6

file dsygv.c  dsygv.c plus dependencies
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 dspgv.c  dspgv.c plus dependencies
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 dsbgv.c  dsbgv.c plus dependencies
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 dgegs.c  dgegs.c plus dependencies
for  Computes the generalized eigenvalues, Schur form, and left and/or
,    right Schur vectors for a pair of nonsymmetric matrices

file dgegv.c  dgegv.c plus dependencies
for  Computes the generalized eigenvalues, and left and/or right
,    generalized eigenvectors for a pair of nonsymmetric matrices

file dggsvd.c  dggsvd.c plus dependencies
for  Computes the Generalized Singular Value Decomposition

# ---------------------------------
# Available EXPERT DRIVER routines:
# ---------------------------------

file dgesvx.c  dgesvx.c plus dependencies
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 dgbsvx.c  dgbsvx.c plus dependencies
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 dgtsvx.c  dgtsvx.c plus dependencies
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 dposvx.c  dposvx.c plus dependencies
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 dppsvx.c  dppsvx.c plus dependencies
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 dpbsvx.c  dpbsvx.c plus dependencies
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 dptsvx.c  dptsvx.c plus dependencies
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 dsysvx.c  dsysvx.c plus dependencies
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 dspsvx.c  dspsvx.c plus dependencies
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 dgelsx.c  dgelsx.c plus dependencies
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 dgelss.c  dgelss.c plus dependencies
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 dsyevx.c  dsyevx.c plus dependencies
for  Computes selected eigenvalues and eigenvectors of a symmetric matrix.
gams d4a1

file dspevx.c  dspevx.c plus dependencies
for  Computes selected eigenvalues and eigenvectors of a
,    symmetric matrix in packed storage.
gams d4a1

file dsbevx.c  dsbevx.c plus dependencies
for  Computes selected eigenvalues and eigenvectors of a
,    symmetric band matrix.
gams d4a1, d4a6

file dstevx.c  dstevx.c plus dependencies
for  Computes selected eigenvalues and eigenvectors of a real
,    symmetric tridiagonal matrix.
gams d4a1, d4a5

file dgeesx.c  dgeesx.c plus dependencies
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 dgeevx.c  dgeevx.c plus dependencies
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

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

file dbdsqr.c  dbdsqr.c plus dependencies
for  Computes the singular value decomposition (SVD) of a real bidiagonal
,    matrix, using the bidiagonal QR algorithm.
gams d6

file ddisna.c  ddisna.c plus dependencies
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 dgbbrd.c  dgbbrd.c plus dependencies
,    Reduces a general band matrix to real upper bidiagonal form
,    by an orthogonal transformation.

file dgbcon.c  dgbcon.c plus dependencies
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 dgbequ.c  dgbequ.c plus dependencies
for  Computes row and column scalings to equilibrate a general band
,    matrix and reduce its condition number.
gams d2a2

file dgbrfs.c  dgbrfs.c plus dependencies
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 dgbtrf.c  dgbtrf.c plus dependencies
for  Computes an LU factorization of a general band matrix, using
,    partial pivoting with row interchanges.
gams d2a2

file dgbtrs.c  dgbtrs.c plus dependencies
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 dgebak.c  dgebak.c plus dependencies
for  Transforms eigenvectors of a balanced matrix to those of the
,    original matrix supplied to DGEBAL.
gams d4c4

file dgebal.c  dgebal.c plus dependencies
for  Balances a general matrix in order to improve the accuracy
,    of computed eigenvalues.
gams d4c1a

file dgebrd.c  dgebrd.c plus dependencies
for  Reduces a general rectangular matrix to real bidiagonal form
,    by an orthogonal transformation.
gams d6

file dgecon.c  dgecon.c plus dependencies
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 dgeequ.c  dgeequ.c plus dependencies
for  Computes row and column scalings to equilibrate a general
,    rectangular matrix and reduce its condition number.
gams d2a1

file dgehrd.c  dgehrd.c plus dependencies
for  Reduces a general matrix to upper Hessenberg form by an
,    orthogonal similarity transformation.
gams d4c1b2

file dgelqf.c  dgelqf.c plus dependencies
for  Computes an LQ factorization of a general rectangular matrix.
gams d5

file dgeqlf.c  dgeqlf.c plus dependencies
for  Computes a QL factorization of a general rectangular matrix.
gams d5

file dgeqpf.c  dgeqpf.c plus dependencies
for  Computes a QR factorization with column pivoting of a general
,    rectangular matrix.
gams d5

file dgeqrf.c  dgeqrf.c plus dependencies
for  Computes a QR factorization of a general rectangular matrix.
gams d5

file dgerfs.c  dgerfs.c plus dependencies
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 dgerqf.c  dgerqf.c plus dependencies
for  Computes an RQ factorization of a general rectangular matrix.
gams d5

file dgetrf.c  dgetrf.c plus dependencies
for  Computes an LU factorization of a general matrix, using partial
,    pivoting with row interchanges.
gams d2a1

file dgetri.c  dgetri.c plus dependencies
for  Computes the inverse of a general matrix, using the LU factorization
,    computed by DGETRF.
gams d2a1

file dgetrs.c  dgetrs.c plus dependencies
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 dggbak.c  dggbak.c plus dependencies
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 dggbal.c  dggbal.c plus dependencies
For  Balances a pair of general real matrices for the generalized
,    eigenvalue problem A x = lambda B x.

file dgghrd.c  dgghrd.c plus dependencies
for  Reduces a pair of real matrices to generalized upper
,    Hessenberg form using orthogonal transformations

file dggqrf.c  dggqrf.c plus dependencies
for  Computes a generalized QR factorization of a pair of matrices.

file dggrqf.c  dggrqf.c plus dependencies
for  Computes a generalized RQ factorization of a pair of matrices.

file dggsvp.c  dggsvp.c plus dependencies
for  Computes orthogonal matrices as a preprocessing step
,    for computing the generalized singular value decomposition

file dgtcon.c  dgtcon.c plus dependencies
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 dgtrfs.c  dgtrfs.c plus dependencies
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 dgttrf.c  dgttrf.c plus dependencies
for  Computes an LU factorization of a general tridiagonal matrix,
,    using partial pivoting with row interchanges.
gams d2a2a

file dgttrs.c  dgttrs.c plus dependencies
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 dhgeqz.c  dhgeqz.c plus dependencies
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 dhsein.c  dhsein.c plus dependencies
for  Computes specified right and/or left eigenvectors of an upper
,    Hessenberg matrix by inverse iteration.
gams d4c3

file dhseqr.c  dhseqr.c plus dependencies
for  Computes the eigenvalues and Schur factorization of an upper
,    Hessenberg matrix, using the multishift QR algorithm.
gams d4c2b

file dopgtr.c  dopgtr.c plus dependencies
for  Generates the orthogonal transformation matrix from
,    a reduction to tridiagonal form determined by SSPTRD.
gams d4c1b1

file dopmtr.c  dopmtr.c plus dependencies
for  Multiplies a general matrix by the orthogonal
,    transformation matrix from a reduction to tridiagonal form
,    determined by DSPTRD.
gams d4c4

file dorgbr.c  dorgbr.c plus dependencies
for  Generates the orthogonal transformation matrices from
,    a reduction to bidiagonal form determined by DGEBRD.
gams d6

file dorghr.c  dorghr.c plus dependencies
for  Generates the orthogonal transformation matrix from
,    a reduction to Hessenberg form determined by DGEHRD.
gams d4c1b2

file dorglq.c  dorglq.c plus dependencies
for  Generates all or part of the orthogonal matrix Q from
,    an LQ factorization determined by DGELQF.
gams d5

file dorgql.c  dorgql.c plus dependencies
for  Generates all or part of the orthogonal matrix Q from
,    a QL factorization determined by DGEQLF.
gams d5

file dorgqr.c  dorgqr.c plus dependencies
for  Generates all or part of the orthogonal matrix Q from
,    a QR factorization determined by DGEQRF.
gams d5

file dorgrq.c  dorgrq.c plus dependencies
for  Generates all or part of the orthogonal matrix Q from
,    an RQ factorization determined by DGERQF.
gams d5

file dorgtr.c  dorgtr.c plus dependencies
for  Generates the orthogonal transformation matrix from
,    a reduction to tridiagonal form determined by DSYTRD.
gams d4c1b1

file dormbr.c  dormbr.c plus dependencies
for  Multiplies a general matrix by one of the orthogonal
,    transformation matrices from a reduction to bidiagonal form
,    determined by DGEBRD.
gams d6

file dormhr.c  dormhr.c plus dependencies
for  Multiplies a general matrix by the orthogonal transformation
,    matrix from a reduction to Hessenberg form determined by DGEHRD.
gams d4c4

file dormlq.c  dormlq.c plus dependencies
for  Multiplies a general matrix by the orthogonal matrix
,    from an LQ factorization determined by DGELQF.
gams d5

file dormql.c  dormql.c plus dependencies
for  Multiplies a general matrix by the orthogonal matrix
,    from a QL factorization determined by DGEQLF.
gams d5

file dormqr.c  dormqr.c plus dependencies
for  Multiplies a general matrix by the orthogonal matrix
,    from a QR factorization determined by DGEQRF.
gams d5

file dormrq.c  dormrq.c plus dependencies
for  Multiplies a general matrix by the orthogonal matrix
,    from an RQ factorization determined by DGERQF.
gams d5

file dormtr.c  dormtr.c plus dependencies
for  Multiplies a general matrix by the orthogonal
,    transformation matrix from a reduction to tridiagonal form
,    determined by DSYTRD.
gams d4c4

file dpbcon.c  dpbcon.c plus dependencies
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 dpbequ.c  dpbequ.c plus dependencies
for  Computes row and column scalings to equilibrate a symmetric
,    positive definite band matrix and reduce its condition number.
gams d2b2

file dpbrfs.c  dpbrfs.c plus dependencies
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 dpbstf.c  dpbstf.c plus dependencies
for  Computes a split Cholesky factorization of a real symmetric positive
,    definite band matrix.

file dpbtrf.c  dpbtrf.c plus dependencies
for  Computes the Cholesky factorization of a symmetric
,    positive definite band matrix.
gams d2b2

file dpbtrs.c  dpbtrs.c plus dependencies
for  Solves a symmetric positive definite banded system
,    of linear equations AX=B, using the Cholesky factorization
,    computed by DPBTRF.
gams d2b2

file dpocon.c  dpocon.c plus dependencies
for  Estimates the reciprocal of the condition number of a
,    symmetric positive definite matrix, using the
,    Cholesky factorization computed by DPOTRF.
gams d2b1b

file dpoequ.c  dpoequ.c plus dependencies
for  Computes row and column scalings to equilibrate a symmetric
,    positive definite matrix and reduce its condition number.
gams d2b1b

file dporfs.c  dporfs.c plus dependencies
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 dpotrf.c  dpotrf.c plus dependencies
for  Computes the Cholesky factorization of a symmetric
,    positive definite matrix.
gams d2b1b

file dpotri.c  dpotri.c plus dependencies
for  Computes the inverse of a symmetric positive definite
,    matrix, using the Cholesky factorization computed by DPOTRF.
gams d2b1b

file dpotrs.c  dpotrs.c plus dependencies
for  Solves a symmetric positive definite system of linear
,    equations AX=B, using the Cholesky factorization computed by
,    DPOTRF.
gams d2b1b

file dppcon.c  dppcon.c plus dependencies
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 dppequ.c  dppequ.c plus dependencies
for  Computes row and column scalings to equilibrate a symmetric
,    positive definite matrix in packed storage and reduce its condition
,    number.
gams d2b1b

file dpprfs.c  dpprfs.c plus dependencies
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 dpptrf.c  dpptrf.c plus dependencies
for  Computes the Cholesky factorization of a symmetric
,    positive definite matrix in packed storage.
gams d2b1b

file dpptri.c  dpptri.c plus dependencies
for  Computes the inverse of a symmetric positive definite
,    matrix in packed storage, using the Cholesky factorization computed
,    by DPPTRF.
gams d2b1b

file dpptrs.c  dpptrs.c plus dependencies
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 dptcon.c  dptcon.c plus dependencies
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 dpteqr.c  dpteqr.c plus dependencies
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 dptrfs.c  dptrfs.c plus dependencies
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 dpttrf.c  dpttrf.c plus dependencies
for  Computes the LDL**H factorization of a symmetric
,    positive definite tridiagonal matrix.
gams d2b2a

file dpttrs.c  dpttrs.c plus dependencies
for  Solves a symmetric positive definite tridiagonal
,    system of linear equations, using the LDL**H factorization
,    computed by DPTTRF.
gams d2b2a

file dsbgst.c  dsbgst.c plus dependencies
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 dsbtrd.c  dsbtrd.c plus dependencies
for  Reduces a symmetric band matrix to real symmetric
,    tridiagonal form by an orthogonal similarity transformation.
gams d4c1b1

file dspcon.c  dspcon.c plus dependencies
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 dspgst.c  dspgst.c plus dependencies
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 dsprfs.c  dsprfs.c plus dependencies
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 dsptrd.c  dsptrd.c plus dependencies
for  Reduces a symmetric matrix in packed storage to real
,    symmetric tridiagonal form by an orthogonal similarity
,    transformation.
gams d4c1b1

file dsptrf.c  dsptrf.c plus dependencies
for  Computes the factorization of a real
,    symmetric-indefinite matrix in packed storage,
,    using the diagonal pivoting method.
gams d2b1a

file dsptri.c  dsptri.c plus dependencies
for  Computes the inverse of a real symmetric
,    indefinite matrix in packed storage, using the factorization
,    computed by DSPTRF.
gams d2b1a

file dsptrs.c  dsptrs.c plus dependencies
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 dstebz.c  dstebz.c plus dependencies
for  Computes selected eigenvalues of a real symmetric tridiagonal
,    matrix by bisection.
gams d4c2a

file dstedc.c  dstedc.c plus dependencies
for  Computes all eigenvalues and, optionally, eigenvectors of a
,    symmetric tridiagonal matrix using the divide and conquer algorithm.

file dstein.c  dstein.c plus dependencies
for  Computes selected eigenvectors of a real symmetric tridiagonal
,    matrix by inverse iteration.
gams d4c3

file dsteqr.c  dsteqr.c plus dependencies
for  Computes all eigenvalues and eigenvectors of a real symmetric
,    tridiagonal matrix, using the implicit QL or QR algorithm.
gams d4a1, d4a5, d4c2a

file dsterf.c  dsterf.c plus dependencies
for  Computes all eigenvalues of a real symmetric tridiagonal matrix,
,    using a root-free variant of the QL or QR algorithm.
gams d4c2a

file dsycon.c  dsycon.c plus dependencies
for  Estimates the reciprocal of the condition number of a
,    real symmetric indefinite matrix,
,    using the factorization computed by DSYTRF.
gams d2b1a

file dsygst.c  dsygst.c plus dependencies
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 dsyrfs.c  dsyrfs.c plus dependencies
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 dsytrd.c  dsytrd.c plus dependencies
for  Reduces a symmetric matrix to real symmetric tridiagonal
,    form by an orthogonal similarity transformation.
gams d4c1b1

file dsytrf.c  dsytrf.c plus dependencies
for  Computes the factorization of a real symmetric-indefinite matrix,
,    using the diagonal pivoting method.
gams d2b1a

file dsytri.c  dsytri.c plus dependencies
for  Computes the inverse of a real symmetric indefinite matrix,
,    using the factorization computed by DSYTRF.
gams d2b1a

file dsytrs.c  dsytrs.c plus dependencies
for  Solves a real symmetric indefinite system of linear equations AX=B,
,    using the factorization computed by DSPTRF.
gams d2b1a

file dtbcon.c  dtbcon.c plus dependencies
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 dtbrfs.c  dtbrfs.c plus dependencies
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 dtbtrs.c  dtbtrs.c plus dependencies
for  Solves a triangular banded system of linear equations AX=B,
,    A**T X=B or A**H X=B.
gams d2a2, d2a3

file dtgevc.c  dtgevc.c plus dependencies
for  Computes some or all of the right and/or left generalized eigenvectors
,    of a pair of upper triangular matrices.
gams d4b2

file dtgsja.c  dtgsja.c plus dependencies
for  Computes the generalized singular value decomposition of two real
,    upper triangular (or trapezoidal) matrices as output by DGGSVP.
gams d6

file dtpcon.c  dtpcon.c plus dependencies
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 dtprfs.c  dtprfs.c plus dependencies
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 dtptri.c  dtptri.c plus dependencies
for   Computes the inverse of a triangular matrix in packed storage.
gams d2a3

file dtptrs.c  dtptrs.c plus dependencies
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 dtrcon.c  dtrcon.c plus dependencies
for  Estimates the reciprocal of the condition number of a triangular
,    matrix, in either the 1-norm or the infinity-norm.
gams d2a3

file dtrevc.c  dtrevc.c plus dependencies
for  Computes some or all of the right and/or left eigenvectors of
,    an upper quasi-triangular matrix.
gams d4c3

file dtrexc.c  dtrexc.c plus dependencies
for  Reorders the Schur factorization of a matrix by an orthogonal
,    similarity transformation.
gams d4c

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

file dtrsyl.c  dtrsyl.c plus dependencies
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 dtrtri.c  dtrtri.c plus dependencies
for  Computes the inverse of a triangular matrix.
gams d2a3

file dtrtrs.c  dtrtrs.c plus dependencies
for  Solves a triangular system of linear equations AX=B,
,    A**T X=B or A**H X=B.
gams d2a3

file dtzrqf.c  dtzrqf.c plus dependencies
for  Computes an RQ factorization of an upper trapezoidal matrix.
gams d5
```