lapack/double

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

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

file dsgesv.f  dsgesv.f plus dependencies
prec double / single
for  Solves a general system of linear equations AX=B using iterativement refinement.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

file dggsvd.f  dggsvd.f plus dependencies
prec double
for  Computes the Generalized Singular Value Decomposition

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

file dggqrf.f  dggqrf.f plus dependencies
prec double
for  Computes a generalized QR factorization of a pair of matrices. 

file dggrqf.f  dggrqf.f plus dependencies
prec double
for  Computes a generalized RQ factorization of a pair of matrices.

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

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

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

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

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

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

file dorcsd.f  dorcsd.f plus dependencies
prec double
for  Compute the CS decomposition of a block-partitioned
,    orthogonal/unitary matrix.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

file dsytri2.f  dsytri2.f plus dependencies
prec double
for  Computes the inverse of a real symmetric indefinite matrix,
,    using the factorization computed by DSYTRF using Level BLAS 3.
gams d2b1a

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

file dsytrs2.f  dsytrs2.f plus dependencies
prec double
for  Solves a real symmetric indefinite system of linear equations AX=B,
,    using the factorization computed by DSPTRF using Level BLAS 3.
gams d2b1a

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

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

file dtgsna.f  dtgsna.f plus dependencies
prec double
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 dtgsyl.f  dtgsyl.f plus dependencies
prec double
for  Solves the generalized Sylvester equation.

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

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

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

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

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

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

file dtzrqf.f  dtzrqf.f plus dependencies
prec double
for  Computes an RQ factorization of an upper trapezoidal matrix.
gams d5

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