# -------------------------------------------------------- # Available SIMPLE and DIVIDE AND CONQUER DRIVER routines: # -------------------------------------------------------- file sgesv.c sgesv.c plus dependencies for Solves a general system of linear equations AX=B. gams d2a1 file sgbsv.c sgbsv.c plus dependencies for Solves a general banded system of linear equations AX=B. gams d2a2 file sgtsv.c sgtsv.c plus dependencies for Solves a general tridiagonal system of linear equations AX=B. gams d2a2a file sposv.c sposv.c plus dependencies for Solves a symmetric positive definite system of linear , equations AX=B. gams d2b1b file sppsv.c sppsv.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 spbsv.c spbsv.c plus dependencies for Solves a symmetric positive definite banded system , of linear equations AX=B. gams d2b2 file sptsv.c sptsv.c plus dependencies for Solves a symmetric positive definite tridiagonal system , of linear equations AX=B. gams d2b2a file ssysv.c ssysv.c plus dependencies for Solves a real symmetric indefinite system of linear equations AX=B. gams d2b1a file sspsv.c sspsv.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 sgels.c sgels.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 sgglse.c sgglse.c plus dependencies for Solves the LSE (Constrained Linear Least Squares Problem) using , the GRQ (Generalized RQ) factorization gams d9b1 file sggglm.c sggglm.c plus dependencies for Solves the GLM (Generalized Linear Regression Model) using , the GQR (Generalized QR) factorization file ssyev.c ssyev.c plus dependencies for Computes all eigenvalues, and optionally, eigenvectors of a real , symmetric matrix. gams d4a1 file ssyevd.c ssyevd.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 sspev.c sspev.c plus dependencies for Computes all eigenvalues, and optionally, eigenvectors of a real , symmetric matrix in packed storage. gams d4a1 file sspevd.c sspevd.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 ssbev.c ssbev.c plus dependencies for Computes all eigenvalues, and optionally, eigenvectors of a real , symmetric band matrix. gams d4a1, d4a6 file ssbevd.c ssbevd.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 sstev.c sstev.c plus dependencies for Computes all eigenvalues, and optionally, eigenvectors of a real , symmetric tridiagonal matrix. gams d4a1, d4a5 file sstevd.c sstevd.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 sgees.c sgees.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 sgeev.c sgeev.c plus dependencies for Computes the eigenvalues and left and right eigenvectors of , a general matrix. gams d4a2 file sgesvd.c sgesvd.c plus dependencies for Computes the singular value decomposition (SVD) of a general , rectangular matrix. gams d6 file ssygv.c ssygv.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 sspgv.c sspgv.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 ssbgv.c ssbgv.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 sgegs.c sgegs.c plus dependencies for Computes the generalized eigenvalues, Schur form, and left and/or , right Schur vectors for a pair of nonsymmetric matrices file sgegv.c sgegv.c plus dependencies for Computes the generalized eigenvalues, and left and/or right , generalized eigenvectors for a pair of nonsymmetric matrices file sggsvd.c sggsvd.c plus dependencies for Computes the Generalized Singular Value Decomposition # --------------------------------- # Available EXPERT DRIVER routines: # --------------------------------- file sgesvx.c sgesvx.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 sgbsvx.c sgbsvx.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 sgtsvx.c sgtsvx.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 sposvx.c sposvx.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 sppsvx.c sppsvx.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 spbsvx.c spbsvx.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 sptsvx.c sptsvx.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 ssysvx.c ssysvx.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 sspsvx.c sspsvx.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 sgelsx.c sgelsx.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 sgelss.c sgelss.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 ssyevx.c ssyevx.c plus dependencies for Computes selected eigenvalues and eigenvectors of a symmetric matrix. gams d4a1 file sspevx.c sspevx.c plus dependencies for Computes selected eigenvalues and eigenvectors of a , symmetric matrix in packed storage. gams d4a1 file ssbevx.c ssbevx.c plus dependencies for Computes selected eigenvalues and eigenvectors of a , symmetric band matrix. gams d4a1, d4a6 file sstevx.c sstevx.c plus dependencies for Computes selected eigenvalues and eigenvectors of a real , symmetric tridiagonal matrix. gams d4a1, d4a5 file sgeesx.c sgeesx.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 sgeevx.c sgeevx.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 sbdsqr.c sbdsqr.c plus dependencies for Computes the singular value decomposition (SVD) of a real bidiagonal , matrix, using the bidiagonal QR algorithm. gams d6 file sdisna.c sdisna.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 sgbbrd.c sgbbrd.c plus dependencies , Reduces a general band matrix to real upper bidiagonal form , by an orthogonal transformation. file sgbcon.c sgbcon.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 SGBTRF. gams d2a2 file sgbequ.c sgbequ.c plus dependencies for Computes row and column scalings to equilibrate a general band , matrix and reduce its condition number. gams d2a2 file sgbrfs.c sgbrfs.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 sgbtrf.c sgbtrf.c plus dependencies for Computes an LU factorization of a general band matrix, using , partial pivoting with row interchanges. gams d2a2 file sgbtrs.c sgbtrs.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 SGBTRF. gams d2a2 file sgebak.c sgebak.c plus dependencies for Transforms eigenvectors of a balanced matrix to those of the , original matrix supplied to SGEBAL. gams d4c4 file sgebal.c sgebal.c plus dependencies for Balances a general matrix in order to improve the accuracy , of computed eigenvalues. gams d4c1a file sgebrd.c sgebrd.c plus dependencies for Reduces a general rectangular matrix to real bidiagonal form , by an orthogonal transformation. gams d6 file sgecon.c sgecon.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 SGETRF. gams d2a1 file sgeequ.c sgeequ.c plus dependencies for Computes row and column scalings to equilibrate a general , rectangular matrix and reduce its condition number. gams d2a1 file sgehrd.c sgehrd.c plus dependencies for Reduces a general matrix to upper Hessenberg form by an , orthogonal similarity transformation. gams d4c1b2 file sgelqf.c sgelqf.c plus dependencies for Computes an LQ factorization of a general rectangular matrix. gams d5 file sgeqlf.c sgeqlf.c plus dependencies for Computes a QL factorization of a general rectangular matrix. gams d5 file sgeqpf.c sgeqpf.c plus dependencies for Computes a QR factorization with column pivoting of a general , rectangular matrix. gams d5 file sgeqrf.c sgeqrf.c plus dependencies for Computes a QR factorization of a general rectangular matrix. gams d5 file sgerfs.c sgerfs.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 sgerqf.c sgerqf.c plus dependencies for Computes an RQ factorization of a general rectangular matrix. gams d5 file sgetrf.c sgetrf.c plus dependencies for Computes an LU factorization of a general matrix, using partial , pivoting with row interchanges. gams d2a1 file sgetri.c sgetri.c plus dependencies for Computes the inverse of a general matrix, using the LU factorization , computed by SGETRF. gams d2a1 file sgetrs.c sgetrs.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 SGETRF. gams d2a1 file sggbak.c sggbak.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 SGGBAL. file sggbal.c sggbal.c plus dependencies For Balances a pair of general real matrices for the generalized , eigenvalue problem A x = lambda B x. file sgghrd.c sgghrd.c plus dependencies for Reduces a pair of real matrices to generalized upper , Hessenberg form using orthogonal transformations file sggqrf.c sggqrf.c plus dependencies for Computes a generalized QR factorization of a pair of matrices. file sggrqf.c sggrqf.c plus dependencies for Computes a generalized RQ factorization of a pair of matrices. file sggsvp.c sggsvp.c plus dependencies for Computes orthogonal matrices as a preprocessing step , for computing the generalized singular value decomposition file sgtcon.c sgtcon.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 SGTTRF. gams d2a2a file sgtrfs.c sgtrfs.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 sgttrf.c sgttrf.c plus dependencies for Computes an LU factorization of a general tridiagonal matrix, , using partial pivoting with row interchanges. gams d2a2a file sgttrs.c sgttrs.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 , SGTTRF. gams d2a2a file shgeqz.c shgeqz.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 shsein.c shsein.c plus dependencies for Computes specified right and/or left eigenvectors of an upper , Hessenberg matrix by inverse iteration. gams d4c3 file shseqr.c shseqr.c plus dependencies for Computes the eigenvalues and Schur factorization of an upper , Hessenberg matrix, using the multishift QR algorithm. gams d4c2b file sopgtr.c sopgtr.c plus dependencies for Generates the orthogonal transformation matrix from , a reduction to tridiagonal form determined by SSPTRD. gams d4c1b1 file sopmtr.c sopmtr.c plus dependencies for Multiplies a general matrix by the orthogonal , transformation matrix from a reduction to tridiagonal form , determined by SSPTRD. gams d4c4 file sorgbr.c sorgbr.c plus dependencies for Generates the orthogonal transformation matrices from , a reduction to bidiagonal form determined by SGEBRD. gams d6 file sorghr.c sorghr.c plus dependencies for Generates the orthogonal transformation matrix from , a reduction to Hessenberg form determined by SGEHRD. gams d4c1b2 file sorglq.c sorglq.c plus dependencies for Generates all or part of the orthogonal matrix Q from , an LQ factorization determined by SGELQF. gams d5 file sorgql.c sorgql.c plus dependencies for Generates all or part of the orthogonal matrix Q from , a QL factorization determined by SGEQLF. gams d5 file sorgqr.c sorgqr.c plus dependencies for Generates all or part of the orthogonal matrix Q from , a QR factorization determined by SGEQRF. gams d5 file sorgrq.c sorgrq.c plus dependencies for Generates all or part of the orthogonal matrix Q from , an RQ factorization determined by SGERQF. gams d5 file sorgtr.c sorgtr.c plus dependencies for Generates the orthogonal transformation matrix from , a reduction to tridiagonal form determined by SSYTRD. gams d4c1b1 file sormbr.c sormbr.c plus dependencies for Multiplies a general matrix by one of the orthogonal , transformation matrices from a reduction to bidiagonal form , determined by SGEBRD. gams d6 file sormhr.c sormhr.c plus dependencies for Multiplies a general matrix by the orthogonal transformation , matrix from a reduction to Hessenberg form determined by SGEHRD. gams d4c4 file sormlq.c sormlq.c plus dependencies for Multiplies a general matrix by the orthogonal matrix , from an LQ factorization determined by SGELQF. gams d5 file sormql.c sormql.c plus dependencies for Multiplies a general matrix by the orthogonal matrix , from a QL factorization determined by SGEQLF. gams d5 file sormqr.c sormqr.c plus dependencies for Multiplies a general matrix by the orthogonal matrix , from a QR factorization determined by SGEQRF. gams d5 file sormrq.c sormrq.c plus dependencies for Multiplies a general matrix by the orthogonal matrix , from an RQ factorization determined by SGERQF. gams d5 file sormtr.c sormtr.c plus dependencies for Multiplies a general matrix by the orthogonal , transformation matrix from a reduction to tridiagonal form , determined by SSYTRD. gams d4c4 file spbcon.c spbcon.c plus dependencies for Estimates the reciprocal of the condition number of a , symmetric positive definite band matrix, using the , Cholesky factorization computed by SPBTRF. gams d2b2 file spbequ.c spbequ.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 spbrfs.c spbrfs.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 spbstf.c spbstf.c plus dependencies for Computes a split Cholesky factorization of a real symmetric positive , definite band matrix. file spbtrf.c spbtrf.c plus dependencies for Computes the Cholesky factorization of a symmetric , positive definite band matrix. gams d2b2 file spbtrs.c spbtrs.c plus dependencies for Solves a symmetric positive definite banded system , of linear equations AX=B, using the Cholesky factorization , computed by SPBTRF. gams d2b2 file spocon.c spocon.c plus dependencies for Estimates the reciprocal of the condition number of a , symmetric positive definite matrix, using the , Cholesky factorization computed by SPOTRF. gams d2b1b file spoequ.c spoequ.c plus dependencies for Computes row and column scalings to equilibrate a symmetric , positive definite matrix and reduce its condition number. gams d2b1b file sporfs.c sporfs.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 spotrf.c spotrf.c plus dependencies for Computes the Cholesky factorization of a symmetric , positive definite matrix. gams d2b1b file spotri.c spotri.c plus dependencies for Computes the inverse of a symmetric positive definite , matrix, using the Cholesky factorization computed by SPOTRF. gams d2b1b file spotrs.c spotrs.c plus dependencies for Solves a symmetric positive definite system of linear , equations AX=B, using the Cholesky factorization computed by , SPOTRF. gams d2b1b file sppcon.c sppcon.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 SPPTRF. gams d2b1b file sppequ.c sppequ.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 spprfs.c spprfs.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 spptrf.c spptrf.c plus dependencies for Computes the Cholesky factorization of a symmetric , positive definite matrix in packed storage. gams d2b1b file spptri.c spptri.c plus dependencies for Computes the inverse of a symmetric positive definite , matrix in packed storage, using the Cholesky factorization computed , by SPPTRF. gams d2b1b file spptrs.c spptrs.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 SPPTRF. gams d2b1b file sptcon.c sptcon.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 SPTTRF. gams d2b2a file spteqr.c spteqr.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 sptrfs.c sptrfs.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 spttrf.c spttrf.c plus dependencies for Computes the LDL**H factorization of a symmetric , positive definite tridiagonal matrix. gams d2b2a file spttrs.c spttrs.c plus dependencies for Solves a symmetric positive definite tridiagonal , system of linear equations, using the LDL**H factorization , computed by SPTTRF. gams d2b2a file ssbgst.c ssbgst.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 , SPBSTF (Crawford's algorithm). file ssbtrd.c ssbtrd.c plus dependencies for Reduces a symmetric band matrix to real symmetric , tridiagonal form by an orthogonal similarity transformation. gams d4c1b1 file sspcon.c sspcon.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 SSPTRF. gams d2b1a file sspgst.c sspgst.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 SPPTRF. gams d4c1c file ssprfs.c ssprfs.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 ssptrd.c ssptrd.c plus dependencies for Reduces a symmetric matrix in packed storage to real , symmetric tridiagonal form by an orthogonal similarity , transformation. gams d4c1b1 file ssptrf.c ssptrf.c plus dependencies for Computes the factorization of a real , symmetric-indefinite matrix in packed storage, , using the diagonal pivoting method. gams d2b1a file ssptri.c ssptri.c plus dependencies for Computes the inverse of a real symmetric , indefinite matrix in packed storage, using the factorization , computed by SSPTRF. gams d2b1a file ssptrs.c ssptrs.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 SSPTRF. gams d2b1a file sstebz.c sstebz.c plus dependencies for Computes selected eigenvalues of a real symmetric tridiagonal , matrix by bisection. gams d4c2a file sstedc.c sstedc.c plus dependencies for Computes all eigenvalues and, optionally, eigenvectors of a , symmetric tridiagonal matrix using the divide and conquer algorithm. file sstein.c sstein.c plus dependencies for Computes selected eigenvectors of a real symmetric tridiagonal , matrix by inverse iteration. gams d4c3 file ssteqr.c ssteqr.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 ssterf.c ssterf.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 ssycon.c ssycon.c plus dependencies for Estimates the reciprocal of the condition number of a , real symmetric indefinite matrix, , using the factorization computed by SSYTRF. gams d2b1a file ssygst.c ssygst.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 SPOTRF. gams d4c1c file ssyrfs.c ssyrfs.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 ssytrd.c ssytrd.c plus dependencies for Reduces a symmetric matrix to real symmetric tridiagonal , form by an orthogonal similarity transformation. gams d4c1b1 file ssytrf.c ssytrf.c plus dependencies for Computes the factorization of a real symmetric-indefinite matrix, , using the diagonal pivoting method. gams d2b1a file ssytri.c ssytri.c plus dependencies for Computes the inverse of a real symmetric indefinite matrix, , using the factorization computed by SSYTRF. gams d2b1a file ssytrs.c ssytrs.c plus dependencies for Solves a real symmetric indefinite system of linear equations AX=B, , using the factorization computed by SSPTRF. gams d2b1a file stbcon.c stbcon.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 stbrfs.c stbrfs.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 stbtrs.c stbtrs.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 stgevc.c stgevc.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 stgsja.c stgsja.c plus dependencies for Computes the generalized singular value decomposition of two real , upper triangular (or trapezoidal) matrices as output by SGGSVP. gams d6 file stpcon.c stpcon.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 stprfs.c stprfs.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 stptri.c stptri.c plus dependencies for Computes the inverse of a triangular matrix in packed storage. gams d2a3 file stptrs.c stptrs.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 strcon.c strcon.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 strevc.c strevc.c plus dependencies for Computes some or all of the right and/or left eigenvectors of , an upper quasi-triangular matrix. gams d4c3 file strexc.c strexc.c plus dependencies for Reorders the Schur factorization of a matrix by an orthogonal , similarity transformation. gams d4c file strrfs.c strrfs.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 strsen.c strsen.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 strsna.c strsna.c plus dependencies for Estimates the reciprocal condition numbers (sensitivities) , of selected eigenvalues and eigenvectors of an upper , quasi-triangular matrix. gams d4c file strsyl.c strsyl.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 strtri.c strtri.c plus dependencies for Computes the inverse of a triangular matrix. gams d2a3 file strtrs.c strtrs.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 stzrqf.c stzrqf.c plus dependencies for Computes an RQ factorization of an upper trapezoidal matrix. gams d5