# ------------------------------------------------------- # Available SIMPLE and DIVIDE AND CONQUER DRIVER routines: # ------------------------------------------------------- file cgesv.c cgesv.c plus dependencies for Solves a general system of linear equations AX=B. gams d2c1 file cgbsv.c cgbsv.c plus dependencies for Solves a general banded system of linear equations AX=B. gams d2c2 file cgtsv.c cgtsv.c plus dependencies for Solves a general tridiagonal system of linear equations AX=B. gams d2c2a file cposv.c cposv.c plus dependencies for Solves a Hermitian positive definite system of linear , equations AX=B. gams d2d1b file cppsv.c cppsv.c plus dependencies for Solves a Hermitian positive definite system of linear , equations AX=B, where A is in packed storage. gams d2d1b file cpbsv.c cpbsv.c plus dependencies for Solves a Hermitian positive definite banded system , of linear equations AX=B. gams d2d2 file cptsv.c cptsv.c plus dependencies for Solves a Hermitian positive definite tridiagonal system , of linear equations AX=B. gams d2d2a file csysv.c for Solves a complex symmetric indefinite system of linear equations AX=B. gams d2c1 file chesv.c chesv.c plus dependencies for Solves a complex Hermitian indefinite system of linear equations AX=B. gams d2d1a file cspsv.c cspsv.c plus dependencies for Solves a complex symmetric indefinite system of linear equations AX=B, , where A is held in packed storage. gams d2c1 file chpsv.c chpsv.c plus dependencies for Solves a complex Hermitian indefinite system of linear equations AX=B, , where A is held in packed storage. gams d2d1a file cgels.c cgels.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 cgglse.c cgglse.c plus dependencies for Solves the LSE (Constrained Linear Least Squares Problem) using , the GRQ (Generalized RQ) factorization gams d9b1 file cggglm.c cggglm.c plus dependencies for Solves the GLM (Generalized Linear Regression Model) using , the GQR (Generalized QR) factorization file cheev.c cheev.c plus dependencies for Computes all eigenvalues and, optionally, eigenvectors of a complex , Hermitian matrix. gams d4a3 file cheevd.c cheevd.c plus dependencies for Computes all eigenvalues and, optionally, eigenvectors of a complex , Hermitian matrix. If eigenvectors are desired, it uses a divide , and conquer algorithm. gams d4a3 file chpev.c chpev.c plus dependencies for Computes all eigenvalues and, optionally, eigenvectors of a complex , Hermitian matrix in packed storage. gams d4a3 file chpevd.c chpevd.c plus dependencies for Computes all eigenvalues and, optionally, eigenvectors of a complex , Hermitian matrix in packed storage. If eigenvectors are desired, it , uses a divide and conquer algorithm. gams d4a3 file chbev.c chbev.c plus dependencies for Computes all eigenvalues and, optionally, eigenvectors of a complex , Hermitian band matrix. gams d4a3, d4a6 file chbevd.c chbevd.c plus dependencies for Computes all eigenvalues and, optionally, eigenvectors of a complex , Hermitian band matrix. If eigenvectors are desired, it uses a divide , and conquer algorithm. gams d4a3, d4a6 file cgees.c cgees.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 d4a4 file cgeev.c cgeev.c plus dependencies for Computes the eigenvalues and left and right eigenvectors of , a general matrix. gams d4a4 file cgesvd.c cgesvd.c plus dependencies for Computes the singular value decomposition (SVD) of a general , rectangular matrix. gams d6 file chegv.c chegv.c plus dependencies for Computes all eigenvalues and the eigenvectors of a generalized , Hermitian-definite generalized eigenproblem, , Ax= lambda Bx, ABx= lambda x, or BAx= lambda x. gams d4b3 file chpgv.c chpgv.c plus dependencies for Computes all eigenvalues and eigenvectors of a generalized , Hermitian-definite generalized eigenproblem, Ax= lambda , Bx, ABx= lambda x, or BAx= lambda x, where A and B are in packed , storage. gams d4b3 file chbgv.c chbgv.c plus dependencies for Computes all the eigenvalues, and optionally, the eigenvectors , of a complex generalized Hermitian-definite banded eigenproblem, of , the form A*x=(lambda)*B*x. A and B are assumed to be Hermitian , and banded, and B is also positive definite. file cgegs.c cgegs.c plus dependencies for Computes the generalized eigenvalues, Schur form, and left and/or , right Schur vectors for a pair of nonsymmetric matrices file cgegv.c cgegv.c plus dependencies for Computes the generalized eigenvalues, and left and/or right , generalized eigenvectors for a pair of nonsymmetric matrices file cggsvd.c cggsvd.c plus dependencies for Computes the Generalized Singular Value Decomposition # --------------------------------- # Available EXPERT DRIVER routines: # --------------------------------- file cgesvx.c cgesvx.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 d2c1 file cgbsvx.c cgbsvx.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 d2c2 file cgtsvx.c cgtsvx.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 d2c2a file cposvx.c cposvx.c plus dependencies for Solves a Hermitian positive definite system of linear , equations AX=B, and provides an estimate of the condition number , and error bounds on the solution. gams d2d1b file cppsvx.c cppsvx.c plus dependencies for Solves a Hermitian 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 d2d1b file cpbsvx.c cpbsvx.c plus dependencies for Solves a Hermitian positive definite banded system , of linear equations AX=B, and provides an estimate of the condition , number and error bounds on the solution. gams d2d2 file cptsvx.c cptsvx.c plus dependencies for Solves a Hermitian positive definite tridiagonal , system of linear equations AX=B, and provides an estimate of , the condition number and error bounds on the solution. gams d2d2a file csysvx.c csysvx.c plus dependencies for Solves a complex symmetric , indefinite system of linear equations AX=B, and provides an , estimate of the condition number and error bounds on the solution. gams d2c1 file chesvx.c chesvx.c plus dependencies for Solves a complex Hermitian , indefinite system of linear equations AX=B, and provides an , estimate of the condition number and error bounds on the solution. gams d2d1a file cspsvx.c cspsvx.c plus dependencies for Solves a complex 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 d2c1 file chpsvx.c chpsvx.c plus dependencies for Solves a complex Hermitian , 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 d2d1a file cgelsx.c cgelsx.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 cgelss.c cgelss.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 cheevx.c cheevx.c plus dependencies for Computes selected eigenvalues and eigenvectors of a Hermitian matrix. gams d4a3 file chpevx.c chpevx.c plus dependencies for Computes selected eigenvalues and eigenvectors of a , Hermitian matrix in packed storage. gams d4a3 file chbevx.c chbevx.c plus dependencies for Computes selected eigenvalues and eigenvectors of a , Hermitian band matrix. gams d4a3, d4a6 file cgeesx.c cgeesx.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 d4a4 file cgeevx.c cgeevx.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 d4a4 # --------------------------------- # Available COMPUTATIONAL routines: # --------------------------------- file cbdsqr.c cbdsqr.c plus dependencies for Computes the singular value decomposition (SVD) of a real bidiagonal , matrix, using the bidiagonal QR algorithm. gams d6 file cgbbrd.c cgbbrd.c plus dependencies , Reduces a complex general band matrix to real upper bidiagonal form , by a unitary transformation. file cgbcon.c cgbcon.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 CGBTRF. gams d2c2 file cgbequ.c cgbequ.c plus dependencies for Computes row and column scalings to equilibrate a general band , matrix and reduce its condition number. gams d2c2 file cgbrfs.c cgbrfs.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 d2c2 file cgbtrf.c cgbtrf.c plus dependencies for Computes an LU factorization of a general band matrix, using , partial pivoting with row interchanges. gams d2c2 file cgbtrs.c cgbtrs.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 CGBTRF. gams d2c2 file cgebak.c cgebak.c plus dependencies for Transforms eigenvectors of a balanced matrix to those of the , original matrix supplied to CGEBAL. gams d4c4 file cgebal.c cgebal.c plus dependencies for Balances a general matrix in order to improve the accuracy , of computed eigenvalues. gams d4c1a file cgebrd.c cgebrd.c plus dependencies for Reduces a general rectangular matrix to real bidiagonal form , by an orthogonal/unitary transformation. gams d6 file cgecon.c cgecon.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 CGETRF. gams d2c1 file cgeequ.c cgeequ.c plus dependencies for Computes row and column scalings to equilibrate a general , rectangular matrix and reduce its condition number. gams d2c1 file cgehrd.c cgehrd.c plus dependencies for Reduces a general matrix to upper Hessenberg form by an , unitary similarity transformation. gams d4c1b2 file cgelqf.c cgelqf.c plus dependencies for Computes an LQ factorization of a general rectangular matrix. gams d5 file cgeqlf.c cgeqlf.c plus dependencies for Computes a QL factorization of a general rectangular matrix. gams d5 file cgeqpf.c cgeqpf.c plus dependencies for Computes a QR factorization with column pivoting of a general , rectangular matrix. gams d5 file cgeqrf.c cgeqrf.c plus dependencies for Computes a QR factorization of a general rectangular matrix. gams d5 file cgerfs.c cgerfs.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 d2c1 file cgerqf.c cgerqf.c plus dependencies for Computes an RQ factorization of a general rectangular matrix. gams d5 file cgetrf.c cgetrf.c plus dependencies for Computes an LU factorization of a general matrix, using partial , pivoting with row interchanges. gams d2c1 file cggbak.c cggbak.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 CGGBAL. file cggbal.c cggbal.c plus dependencies For Balances a pair of general complex matrices for the generalized , eigenvalue problem A x = lambda B x. file cgghrd.c cgghrd.c plus dependencies for Reduces a pair of complex matrices to generalized upper , Hessenberg form using unitary similarity transformations. file cggqrf.c cggqrf.c plus dependencies for Computes a generalized QR factorization of a pair of matrices. file cggrqf.c cggrqf.c plus dependencies for Computes a generalized RQ factorization of a pair of matrices. file cggsvp.c cggsvp.c plus dependencies for Computes unitary matrices as a preprocessing step , for computing the generalized singular value decomposition file cgtcon.c cgtcon.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 CGTTRF. gams d2c2a file cgtrfs.c cgtrfs.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 d2c2a file cgttrf.c cgttrf.c plus dependencies for Computes an LU factorization of a general tridiagonal matrix, , using partial pivoting with row interchanges. gams d2c2a file cgttrs.c cgttrs.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 , CGTTRF. gams d2c2a file chgeqz.c chgeqz.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 chsein.c chsein.c plus dependencies for Computes specified right and/or left eigenvectors of an upper , Hessenberg matrix by inverse iteration. gams d4c3 file chseqr.c chseqr.c plus dependencies for Computes the eigenvalues and Schur factorization of an upper , Hessenberg matrix, using the multishift QR algorithm. gams d4c2b file cupgtr.c cupgtr.c plus dependencies for Generates the unitary transformation matrix from , a reduction to tridiagonal form determined by CHPTRD. gams d4c1b1 file cupmtr.c cupmtr.c plus dependencies for Multiplies a general matrix by the unitary , transformation matrix from a reduction to tridiagonal form , determined by CHPTRD. gams d4c4 file cungbr.c cungbr.c plus dependencies for Generates the unitary transformation matrices from , a reduction to bidiagonal form determined by CGEBRD. gams d6 file cunghr.c cunghr.c plus dependencies for Generates the unitary transformation matrix from , a reduction to Hessenberg form determined by CGEHRD. gams d4c1b2 file cunglq.c cunglq.c plus dependencies for Generates all or part of the unitary matrix Q from , an LQ factorization determined by CGELQF. gams d5 file cungql.c cungql.c plus dependencies for Generates all or part of the unitary matrix Q from , a QL factorization determined by CGEQLF. gams d5 file cungqr.c cungqr.c plus dependencies for Generates all or part of the unitary matrix Q from , a QR factorization determined by CGEQRF. gams d5 file cungrq.c cungrq.c plus dependencies for Generates all or part of the unitary matrix Q from , an RQ factorization determined by CGERQF. gams d5 file cungtr.c cungtr.c plus dependencies for Generates the unitary transformation matrix from , a reduction to tridiagonal form determined by CHETRD. gams d4c1b1 file cunmbr.c cunmbr.c plus dependencies for Multiplies a general matrix by one of the unitary , transformation matrices from a reduction to bidiagonal form , determined by CGEBRD. gams d6 file cunmhr.c cunmhr.c plus dependencies for Multiplies a general matrix by the unitary transformation , matrix from a reduction to Hessenberg form determined by CGEHRD. gams d4c4 file cunmlq.c cunmlq.c plus dependencies for Multiplies a general matrix by the unitary matrix , from an LQ factorization determined by CGELQF. gams d5 file cunmql.c cunmql.c plus dependencies for Multiplies a general matrix by the unitary matrix , from a QL factorization determined by CGEQLF. gams d5 file cunmqr.c cunmqr.c plus dependencies for Multiplies a general matrix by the unitary matrix , from a QR factorization determined by CGEQRF. gams d5 file cunmrq.c cunmrq.c plus dependencies for Multiplies a general matrix by the unitary matrix , from an RQ factorization determined by CGERQF. gams d5 file cunmtr.c cunmtr.c plus dependencies for Multiplies a general matrix by the unitary , transformation matrix from a reduction to tridiagonal form , determined by CHETRD. gams d4c4 file cpbcon.c cpbcon.c plus dependencies for Estimates the reciprocal of the condition number of a , Hermitian positive definite band matrix, using the , Cholesky factorization computed by CPBTRF. gams d2d2 file cpbequ.c cpbequ.c plus dependencies for Computes row and column scalings to equilibrate a Hermitian , positive definite band matrix and reduce its condition number. gams d2d2 file cpbrfs.c cpbrfs.c plus dependencies for Improves the computed solution to a Hermitian positive , definite banded system of linear equations AX=B, and provides , forward and backward error bounds for the solution. gams d2d2 file cpbstf.c cpbstf.c plus dependencies for Computes a split Cholesky factorization of a complex Hermitian , positive definite band matrix. file cpbtrf.c cpbtrf.c plus dependencies for Computes the Cholesky factorization of a Hermitian , positive definite band matrix. gams d2d2 file cpbtrs.c cpbtrs.c plus dependencies for Solves a Hermitian positive definite banded system , of linear equations AX=B, using the Cholesky factorization , computed by CPBTRF. gams d2d2 file cpocon.c cpocon.c plus dependencies for Estimates the reciprocal of the condition number of a , Hermitian positive definite matrix, using the , Cholesky factorization computed by CPOTRF. gams d2d1b file cpoequ.c cpoequ.c plus dependencies for Computes row and column scalings to equilibrate a Hermitian , positive definite matrix and reduce its condition number. gams d2d1b file cporfs.c cporfs.c plus dependencies for Improves the computed solution to a Hermitian positive , definite system of linear equations AX=B, and provides forward , and backward error bounds for the solution. gams d2d1b file cpotrf.c cpotrf.c plus dependencies for Computes the Cholesky factorization of a Hermitian , positive definite matrix. gams d2d1b file cpotri.c cpotri.c plus dependencies for Computes the inverse of a Hermitian positive definite , matrix, using the Cholesky factorization computed by CPOTRF. gams d2d1b file cpotrs.c cpotrs.c plus dependencies for Solves a Hermitian positive definite system of linear , equations AX=B, using the Cholesky factorization computed by , CPOTRF. gams d2d1b file cppcon.c cppcon.c plus dependencies for Estimates the reciprocal of the condition number of a , Hermitian positive definite matrix in packed storage, , using the Cholesky factorization computed by CPPTRF. gams d2d1b file cppequ.c cppequ.c plus dependencies for Computes row and column scalings to equilibrate a Hermitian , positive definite matrix in packed storage and reduce its condition , number. gams d2d1b file cpprfs.c cpprfs.c plus dependencies for Improves the computed solution to a Hermitian 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 d2d1b file cpptrf.c cpptrf.c plus dependencies for Computes the Cholesky factorization of a Hermitian , positive definite matrix in packed storage. gams d2d1b file cpptri.c cpptri.c plus dependencies for Computes the inverse of a Hermitian positive definite , matrix in packed storage, using the Cholesky factorization computed , by CPPTRF. gams d2d1b file cpptrs.c cpptrs.c plus dependencies for Solves a Hermitian positive definite system of linear , equations AX=B, where A is held in packed storage, using the , Cholesky factorization computed by CPPTRF. gams d2d1b file cptcon.c cptcon.c plus dependencies for Computes the reciprocal of the condition number of a , Hermitian positive definite tridiagonal matrix, , using the LDL**H factorization computed by CPTTRF. gams d2d2a file cpteqr.c cpteqr.c plus dependencies for Computes all eigenvalues and eigenvectors of a complex symmetric , positive definite tridiagonal matrix, by computing the SVD of , its bidiagonal Cholesky factor. gams d4c2a file cptrfs.c cptrfs.c plus dependencies for Improves the computed solution to a Hermitian positive , definite tridiagonal system of linear equations AX=B, and provides , forward and backward error bounds for the solution. gams d2d2a file cpttrf.c cpttrf.c plus dependencies for Computes the LDL**H factorization of a Hermitian , positive definite tridiagonal matrix. gams d2d2a file cpttrs.c cpttrs.c plus dependencies for Solves a Hermitian positive definite tridiagonal , system of linear equations, using the LDL**H factorization , computed by CPTTRF. gams d2d2a file chbgst.c chbgst.c plus dependencies for Reduces a complex Hermitian-definite banded generalized eigenproblem , A x = lambda B x to standard form, where B has been factorized by , CPBSTF (Crawford's algorithm). file chbtrd.c chbtrd.c plus dependencies for Reduces a Hermitian band matrix to real symmetric , tridiagonal form by a unitary similarity transformation. gams d4c1b1 file cspcon.c cspcon.c plus dependencies for Estimates the reciprocal of the condition number of a , complex symmetric indefinite , matrix in packed storage, using the factorization computed , by CSPTRF. gams d2c1 file chpcon.c chpcon.c plus dependencies for Estimates the reciprocal of the condition number of a , complex Hermitian indefinite , matrix in packed storage, using the factorization computed , by CHPTRF. gams d2d1a file chpgst.c chpgst.c plus dependencies for Reduces a Hermitian-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 CPPTRF. gams d4c1c file csprfs.c csprfs.c plus dependencies for Improves the computed solution to a complex , 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 d2c1 file chprfs.c chprfs.c plus dependencies for Improves the computed solution to a complex , Hermitian 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 d2d1a file chptrd.c chptrd.c plus dependencies for Reduces a Hermitian matrix in packed storage to real , symmetric tridiagonal form by a unitary similarity , transformation. gams d4c1b1 file csptrf.c csptrf.c plus dependencies for Computes the factorization of a complex , symmetric-indefinite matrix in packed storage, , using the diagonal pivoting method. gams d2c1 file chptrf.c chptrf.c plus dependencies for Computes the factorization of a complex , Hermitian-indefinite matrix in packed storage, , using the diagonal pivoting method. gams d2d1a file csptri.c csptri.c plus dependencies for Computes the inverse of a complex symmetric , indefinite matrix in packed storage, using the factorization , computed by CSPTRF. gams d2c1 file chptri.c chptri.c plus dependencies for Computes the inverse of a complex , Hermitian indefinite matrix in packed storage, using the factorization , computed by CHPTRF. gams d2d1a file csptrs.c csptrs.c plus dependencies for Solves a complex symmetric , indefinite system of linear equations AX=B, where A is held , in packed storage, using the factorization computed , by CSPTRF. gams d2c1 file chptrs.c chptrs.c plus dependencies for Solves a complex Hermitian , indefinite system of linear equations AX=B, where A is held , in packed storage, using the factorization computed , by CHPTRF. gams d2d1a file cstedc.c cstedc.c plus dependencies for Computes all eigenvalues and, optionally, eigenvectors of a , symmetric tridiagonal matrix using the divide and conquer algorithm. file cstein.c cstein.c plus dependencies for Computes selected eigenvectors of a real symmetric tridiagonal , matrix by inverse iteration. gams d4c3 file csteqr.c csteqr.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 csycon.c csycon.c plus dependencies for Estimates the reciprocal of the condition number of a , complex symmetric indefinite matrix, , using the factorization computed by CSYTRF. gams d2c1 file checon.c checon.c plus dependencies for Estimates the reciprocal of the condition number of a , complex Hermitian indefinite matrix, , using the factorization computed by CHETRF. gams d2d1a file chegst.c chegst.c plus dependencies for Reduces a Hermitian-definite generalized eigenproblem , Ax= lambda Bx, ABx= lambda x, or BAx= lambda x, to standard , form, where B has been factorized by CPOTRF. gams d4c1c file csyrfs.c csyrfs.c plus dependencies for Improves the computed solution to a complex , symmetric indefinite system of linear equations , AX=B, and provides forward and backward error bounds for the , solution. gams d2c1 file cherfs.c cherfs.c plus dependencies for Improves the computed solution to a complex , Hermitian indefinite system of linear equations , AX=B, and provides forward and backward error bounds for the , solution. gams d2d1a file chetrd.c chetrd.c plus dependencies for Reduces a Hermitian matrix to real symmetric tridiagonal , form by an orthogonal/unitary similarity transformation. gams d4c1b1 file csytrf.c csytrf.c plus dependencies for Computes the factorization of a complex symmetric-indefinite matrix, , using the diagonal pivoting method. gams d2c1 file chetrf.c chetrf.c plus dependencies for Computes the factorization of a complex Hermitian-indefinite matrix, , using the diagonal pivoting method. gams d2d1a file csytri.c csytri.c plus dependencies for Computes the inverse of a complex symmetric indefinite matrix, , using the factorization computed by CSYTRF. gams d2c1 file chetri.c chetri.c plus dependencies for Computes the inverse of a complex Hermitian indefinite matrix, , using the factorization computed by CHETRF. gams d2d1a file csytrs.c csytrs.c plus dependencies for Solves a complex symmetric indefinite system of linear equations AX=B, , using the factorization computed by CSPTRF. gams d2c1 file chetrs.c chetrs.c plus dependencies for Solves a complex Hermitian indefinite system of linear equations AX=B, , using the factorization computed by CHPTRF. gams d2d1a file ctbcon.c ctbcon.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 d2c2, d2c3 file ctbrfs.c ctbrfs.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 d2c2, d2c3 file ctbtrs.c ctbtrs.c plus dependencies for Solves a triangular banded system of linear equations AX=B, , A**T X=B or A**H X=B. gams d2c2, d2c3 file ctgevc.c ctgevc.c plus dependencies for Computes some or all of the right and/or left generalized eigenvectors , of a pair of complex upper triangular matrices. gams d4b4 file ctgsja.c ctgsja.c plus dependencies for Computes the generalized singular value decomposition of two complex , upper triangular (or trapezoidal) matrices as output by CGGSVP. gams d6 file ctpcon.c ctpcon.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 d2c3 file ctprfs.c ctprfs.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 d2c3 file ctptri.c ctptri.c plus dependencies for Computes the inverse of a triangular matrix in packed storage. gams d2c3 file ctptrs.c ctptrs.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 d2c3 file ctrcon.c ctrcon.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 d2c3 file ctrevc.c ctrevc.c plus dependencies for Computes left and right eigenvectors of an complex upper triangular , matrix. gams d4c3 file ctrexc.c ctrexc.c plus dependencies for Reorders the Schur factorization of a matrix by a unitary , similarity transformation. gams d4c file ctrrfs.c ctrrfs.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 d2c3 file ctrsen.c ctrsen.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 ctrsna.c ctrsna.c plus dependencies for Estimates the reciprocal condition numbers (sensitivities) , of selected eigenvalues and eigenvectors of a complex upper , triangular matrix. gams d4c file ctrsyl.c ctrsyl.c plus dependencies for Solves the Sylvester matrix equation A X +/- X B=C where A , and B are complex upper triangular, and may be transposed. gams d8 file ctrtri.c ctrtri.c plus dependencies for Computes the inverse of a triangular matrix. gams d2c3 file ctrtrs.c ctrtrs.c plus dependencies for Solves a triangular system of linear equations AX=B, , A**T X=B or A**H X=B. gams d2c3 file ctzrqf.c ctzrqf.c plus dependencies for Computes an RQ factorization of an upper trapezoidal matrix. gams d5