# -------------------------------------------------------- # 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