# ------------------------------------------------------- # Available SIMPLE and DIVIDE AND CONQUER DRIVER routines: # ------------------------------------------------------- file zgesv.c zgesv.c plus dependencies for Solves a general system of linear equations AX=B. gams d2c1 file zgbsv.c zgbsv.c plus dependencies for Solves a general banded system of linear equations AX=B. gams d2c2 file zgtsv.c zgtsv.c plus dependencies for Solves a general tridiagonal system of linear equations AX=B. gams d2c2a file zposv.c zposv.c plus dependencies for Solves a Hermitian positive definite system of linear , equations AX=B. gams d2d1b file zppsv.c zppsv.c plus dependencies for Solves a Hermitian positive definite system of linear , equations AX=B, where A is in packed storage. gams d2d1b file zpbsv.c zpbsv.c plus dependencies for Solves a Hermitian positive definite banded system , of linear equations AX=B. gams d2d2 file zptsv.c zptsv.c plus dependencies for Solves a Hermitian positive definite tridiagonal system , of linear equations AX=B. gams d2d2a file zsysv.c for Solves a complex symmetric indefinite system of linear equations AX=B. gams d2c1 file zhesv.c zhesv.c plus dependencies for Solves a complex Hermitian indefinite system of linear equations AX=B. gams d2d1a file zspsv.c zspsv.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 zhpsv.c zhpsv.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 zgels.c zgels.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 zgglse.c zgglse.c plus dependencies for Solves the LSE (Constrained Linear Least Squares Problem) using , the GRQ (Generalized RQ) factorization gams d9b1 file zggglm.c zggglm.c plus dependencies for Solves the GLM (Generalized Linear Regression Model) using , the GQR (Generalized QR) factorization file zheev.c zheev.c plus dependencies for Computes all eigenvalues and, optionally, eigenvectors of a complex , Hermitian matrix. gams d4a3 file zheevd.c zheevd.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 zhpev.c zhpev.c plus dependencies for Computes all eigenvalues and, optionally, eigenvectors of a complex , Hermitian matrix in packed storage. gams d4a3 file zhpevd.c zhpevd.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 zhbev.c zhbev.c plus dependencies for Computes all eigenvalues and, optionally, eigenvectors of a complex , Hermitian band matrix. gams d4a3, d4a6 file zhbevd.c zhbevd.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 zgees.c zgees.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 zgeev.c zgeev.c plus dependencies for Computes the eigenvalues and left and right eigenvectors of , a general matrix. gams d4a4 file zgesvd.c zgesvd.c plus dependencies for Computes the singular value decomposition (SVD) of a general , rectangular matrix. gams d6 file zhegv.c zhegv.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 zhpgv.c zhpgv.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 zhbgv.c zhbgv.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 zgegs.c zgegs.c plus dependencies for Computes the generalized eigenvalues, Schur form, and left and/or , right Schur vectors for a pair of nonsymmetric matrices file zgegv.c zgegv.c plus dependencies for Computes the generalized eigenvalues, and left and/or right , generalized eigenvectors for a pair of nonsymmetric matrices file zggsvd.c zggsvd.c plus dependencies for Computes the Generalized Singular Value Decomposition # --------------------------------- # Available EXPERT DRIVER routines: # --------------------------------- file zgesvx.c zgesvx.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 zgbsvx.c zgbsvx.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 zgtsvx.c zgtsvx.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 zposvx.c zposvx.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 zppsvx.c zppsvx.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 zpbsvx.c zpbsvx.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 zptsvx.c zptsvx.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 zsysvx.c zsysvx.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 zhesvx.c zhesvx.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 zspsvx.c zspsvx.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 zhpsvx.c zhpsvx.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 zgelsx.c zgelsx.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 zgelss.c zgelss.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 zheevx.c zheevx.c plus dependencies for Computes selected eigenvalues and eigenvectors of a Hermitian matrix. gams d4a3 file zhpevx.c zhpevx.c plus dependencies for Computes selected eigenvalues and eigenvectors of a , Hermitian matrix in packed storage. gams d4a3 file zhbevx.c zhbevx.c plus dependencies for Computes selected eigenvalues and eigenvectors of a , Hermitian band matrix. gams d4a3, d4a6 file zgeesx.c zgeesx.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 zgeevx.c zgeevx.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 zbdsqr.c zbdsqr.c plus dependencies for Computes the singular value decomposition (SVD) of a real bidiagonal , matrix, using the bidiagonal QR algorithm. gams d6 file zgbbrd.c zgbbrd.c plus dependencies , Reduces a complex general band matrix to real upper bidiagonal form , by a unitary transformation. file zgbcon.c zgbcon.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 zgbequ.c zgbequ.c plus dependencies for Computes row and column scalings to equilibrate a general band , matrix and reduce its condition number. gams d2c2 file zgbrfs.c zgbrfs.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 zgbtrf.c zgbtrf.c plus dependencies for Computes an LU factorization of a general band matrix, using , partial pivoting with row interchanges. gams d2c2 file zgbtrs.c zgbtrs.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 zgebak.c zgebak.c plus dependencies for Transforms eigenvectors of a balanced matrix to those of the , original matrix supplied to CGEBAL. gams d4c4 file zgebal.c zgebal.c plus dependencies for Balances a general matrix in order to improve the accuracy , of computed eigenvalues. gams d4c1a file zgebrd.c zgebrd.c plus dependencies for Reduces a general rectangular matrix to real bidiagonal form , by an unitary transformation. gams d6 file zgecon.c zgecon.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 zgeequ.c zgeequ.c plus dependencies for Computes row and column scalings to equilibrate a general , rectangular matrix and reduce its condition number. gams d2c1 file zgehrd.c zgehrd.c plus dependencies for Reduces a general matrix to upper Hessenberg form by an , unitary similarity transformation. gams d4c1b2 file zgelqf.c zgelqf.c plus dependencies for Computes an LQ factorization of a general rectangular matrix. gams d5 file zgeqlf.c zgeqlf.c plus dependencies for Computes a QL factorization of a general rectangular matrix. gams d5 file zgeqpf.c zgeqpf.c plus dependencies for Computes a QR factorization with column pivoting of a general , rectangular matrix. gams d5 file zgeqrf.c zgeqrf.c plus dependencies for Computes a QR factorization of a general rectangular matrix. gams d5 file zgerfs.c zgerfs.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 zgerqf.c zgerqf.c plus dependencies for Computes an RQ factorization of a general rectangular matrix. gams d5 file zgetrf.c zgetrf.c plus dependencies for Computes an LU factorization of a general matrix, using partial , pivoting with row interchanges. gams d2c1 file zggbak.c zggbak.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 zggbal.c zggbal.c plus dependencies For Balances a pair of general complex matrices for the generalized , eigenvalue problem A x = lambda B x. file zgghrd.c zgghrd.c plus dependencies for Reduces a pair of complex matrices to generalized upper , Hessenberg form using unitary similarity transformations. file zggqrf.c zggqrf.c plus dependencies for Computes a generalized QR factorization of a pair of matrices. file zggrqf.c zggrqf.c plus dependencies for Computes a generalized RQ factorization of a pair of matrices. file zggsvp.c zggsvp.c plus dependencies for Computes unitary matrices as a preprocessing step , for computing the generalized singular value decomposition file zgtcon.c zgtcon.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 zgtrfs.c zgtrfs.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 zgttrf.c zgttrf.c plus dependencies for Computes an LU factorization of a general tridiagonal matrix, , using partial pivoting with row interchanges. gams d2c2a file zgttrs.c zgttrs.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 zhgeqz.c zhgeqz.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 zhsein.c zhsein.c plus dependencies for Computes specified right and/or left eigenvectors of an upper , Hessenberg matrix by inverse iteration. gams d4c3 file zhseqr.c zhseqr.c plus dependencies for Computes the eigenvalues and Schur factorization of an upper , Hessenberg matrix, using the multishift QR algorithm. gams d4c2b file zupgtr.c zupgtr.c plus dependencies for Generates the unitary transformation matrix from , a reduction to tridiagonal form determined by CHPTRD. gams d4c1b1 file zupmtr.c zupmtr.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 zungbr.c zungbr.c plus dependencies for Generates the unitary transformation matrices from , a reduction to bidiagonal form determined by CGEBRD. gams d6 file zunghr.c zunghr.c plus dependencies for Generates the unitary transformation matrix from , a reduction to Hessenberg form determined by CGEHRD. gams d4c1b2 file zunglq.c zunglq.c plus dependencies for Generates all or part of the unitary matrix Q from , an LQ factorization determined by CGELQF. gams d5 file zungql.c zungql.c plus dependencies for Generates all or part of the unitary matrix Q from , a QL factorization determined by CGEQLF. gams d5 file zungqr.c zungqr.c plus dependencies for Generates all or part of the unitary matrix Q from , a QR factorization determined by CGEQRF. gams d5 file zungrq.c zungrq.c plus dependencies for Generates all or part of the unitary matrix Q from , an RQ factorization determined by CGERQF. gams d5 file zungtr.c zungtr.c plus dependencies for Generates the unitary transformation matrix from , a reduction to tridiagonal form determined by CHETRD. gams d4c1b1 file zunmbr.c zunmbr.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 zunmhr.c zunmhr.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 zunmlq.c zunmlq.c plus dependencies for Multiplies a general matrix by the unitary matrix , from an LQ factorization determined by CGELQF. gams d5 file zunmql.c zunmql.c plus dependencies for Multiplies a general matrix by the unitary matrix , from a QL factorization determined by CGEQLF. gams d5 file zunmqr.c zunmqr.c plus dependencies for Multiplies a general matrix by the unitary matrix , from a QR factorization determined by CGEQRF. gams d5 file zunmrq.c zunmrq.c plus dependencies for Multiplies a general matrix by the unitary matrix , from an RQ factorization determined by CGERQF. gams d5 file zunmtr.c zunmtr.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 zpbcon.c zpbcon.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 zpbequ.c zpbequ.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 zpbrfs.c zpbrfs.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 zpbstf.c zpbstf.c plus dependencies for Computes a split Cholesky factorization of a complex Hermitian , positive definite band matrix. file zpbtrf.c zpbtrf.c plus dependencies for Computes the Cholesky factorization of a Hermitian , positive definite band matrix. gams d2d2 file zpbtrs.c zpbtrs.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 zpocon.c zpocon.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 zpoequ.c zpoequ.c plus dependencies for Computes row and column scalings to equilibrate a Hermitian , positive definite matrix and reduce its condition number. gams d2d1b file zporfs.c zporfs.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 zpotrf.c zpotrf.c plus dependencies for Computes the Cholesky factorization of a Hermitian , positive definite matrix. gams d2d1b file zpotri.c zpotri.c plus dependencies for Computes the inverse of a Hermitian positive definite , matrix, using the Cholesky factorization computed by CPOTRF. gams d2d1b file zpotrs.c zpotrs.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 zppcon.c zppcon.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 zppequ.c zppequ.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 zpprfs.c zpprfs.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 zpptrf.c zpptrf.c plus dependencies for Computes the Cholesky factorization of a Hermitian , positive definite matrix in packed storage. gams d2d1b file zpptri.c zpptri.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 zpptrs.c zpptrs.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 zptcon.c zptcon.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 zpteqr.c zpteqr.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 zptrfs.c zptrfs.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 zpttrf.c zpttrf.c plus dependencies for Computes the LDL**H factorization of a Hermitian , positive definite tridiagonal matrix. gams d2d2a file zpttrs.c zpttrs.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 zhbgst.c zhbgst.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 zhbtrd.c zhbtrd.c plus dependencies for Reduces a Hermitian band matrix to real symmetric , tridiagonal form by a unitary similarity transformation. gams d4c1b1 file zspcon.c zspcon.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 zhpcon.c zhpcon.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 zhpgst.c zhpgst.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 zsprfs.c zsprfs.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 zhprfs.c zhprfs.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 zhptrd.c zhptrd.c plus dependencies for Reduces a Hermitian matrix in packed storage to real , symmetric tridiagonal form by a unitary similarity , transformation. gams d4c1b1 file zsptrf.c zsptrf.c plus dependencies for Computes the factorization of a complex , symmetric-indefinite matrix in packed storage, , using the diagonal pivoting method. gams d2c1 file zhptrf.c zhptrf.c plus dependencies for Computes the factorization of a complex , Hermitian-indefinite matrix in packed storage, , using the diagonal pivoting method. gams d2d1a file zsptri.c zsptri.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 zhptri.c zhptri.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 zsptrs.c zsptrs.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 zhptrs.c zhptrs.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 zstedc.c zstedc.c plus dependencies for Computes all eigenvalues and, optionally, eigenvectors of a , symmetric tridiagonal matrix using the divide and conquer algorithm. file zstein.c zstein.c plus dependencies for Computes selected eigenvectors of a real symmetric tridiagonal , matrix by inverse iteration. gams d4c3 file zsteqr.c zsteqr.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 zsycon.c zsycon.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 zhecon.c zhecon.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 zhegst.c zhegst.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 zsyrfs.c zsyrfs.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 zherfs.c zherfs.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 zhetrd.c zhetrd.c plus dependencies for Reduces a Hermitian matrix to real symmetric tridiagonal , form by an unitary similarity transformation. gams d4c1b1 file zsytrf.c zsytrf.c plus dependencies for Computes the factorization of a complex symmetric-indefinite matrix, , using the diagonal pivoting method. gams d2c1 file zhetrf.c zhetrf.c plus dependencies for Computes the factorization of a complex Hermitian-indefinite matrix, , using the diagonal pivoting method. gams d2d1a file zsytri.c zsytri.c plus dependencies for Computes the inverse of a complex symmetric indefinite matrix, , using the factorization computed by CSYTRF. gams d2c1 file zhetri.c zhetri.c plus dependencies for Computes the inverse of a complex Hermitian indefinite matrix, , using the factorization computed by CHETRF. gams d2d1a file zsytrs.c zsytrs.c plus dependencies for Solves a complex symmetric indefinite system of linear equations AX=B, , using the factorization computed by CSPTRF. gams d2c1 file zhetrs.c zhetrs.c plus dependencies for Solves a complex Hermitian indefinite system of linear equations AX=B, , using the factorization computed by CHPTRF. gams d2d1a file ztbcon.c ztbcon.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 ztbrfs.c ztbrfs.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 ztbtrs.c ztbtrs.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 ztgevc.c ztgevc.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 ztgsja.c ztgsja.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 ztpcon.c ztpcon.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 ztprfs.c ztprfs.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 ztptri.c ztptri.c plus dependencies for Computes the inverse of a triangular matrix in packed storage. gams d2c3 file ztptrs.c ztptrs.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 ztrcon.c ztrcon.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 ztrevc.c ztrevc.c plus dependencies for Computes left and right eigenvectors of an complex upper triangular , matrix. gams d4c3 file ztrexc.c ztrexc.c plus dependencies for Reorders the Schur factorization of a matrix by a unitary , similarity transformation. gams d4c file ztrrfs.c ztrrfs.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 ztrsen.c ztrsen.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 ztrsna.c ztrsna.c plus dependencies for Estimates the reciprocal condition numbers (sensitivities) , of selected eigenvalues and eigenvectors of a complex upper , triangular matrix. gams d4c file ztrsyl.c ztrsyl.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 ztrtri.c ztrtri.c plus dependencies for Computes the inverse of a triangular matrix. gams d2c3 file ztrtrs.c ztrtrs.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 ztzrqf.c ztzrqf.c plus dependencies for Computes an RQ factorization of an upper trapezoidal matrix. gams d5