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# ------------------------------------------------------- # Available SIMPLE and DIVIDE AND CONQUER DRIVER routines: # ------------------------------------------------------- file zgesv.f zgesv.f plus dependencies for Solves a general system of linear equations AX=B. gams d2c1 file zgbsv.f zgbsv.f plus dependencies for Solves a general banded system of linear equations AX=B. gams d2c2 file zgtsv.f zgtsv.f plus dependencies for Solves a general tridiagonal system of linear equations AX=B. gams d2c2a file zposv.f zposv.f plus dependencies for Solves a Hermitian positive definite system of linear , equations AX=B. gams d2d1b file zppsv.f zppsv.f plus dependencies for Solves a Hermitian positive definite system of linear , equations AX=B, where A is in packed storage. gams d2d1b file zpbsv.f zpbsv.f plus dependencies for Solves a Hermitian positive definite banded system , of linear equations AX=B. gams d2d2 file zptsv.f zptsv.f plus dependencies for Solves a Hermitian positive definite tridiagonal system , of linear equations AX=B. gams d2d2a file zsysv.f for Solves a complex symmetric indefinite system of linear equations AX=B. gams d2c1 file zhesv.f zhesv.f plus dependencies for Solves a complex Hermitian indefinite system of linear equations AX=B. gams d2d1a file zspsv.f zspsv.f 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.f zhpsv.f 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.f zgels.f 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 zgelsd.f zgelsd.f 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, using a divide and conquer , method, where A is a general rectangular matrix of full rank, , using a QR or LQ factorization of A. gams d9a1 file zgglse.f zgglse.f plus dependencies for Solves the LSE (Constrained Linear Least Squares Problem) using , the GRQ (Generalized RQ) factorization gams d9b1 file zggglm.f zggglm.f plus dependencies for Solves the GLM (Generalized Linear Regression Model) using , the GQR (Generalized QR) factorization file zheev.f zheev.f plus dependencies for Computes all eigenvalues and, optionally, eigenvectors of a complex , Hermitian matrix. gams d4a3 file zheevd.f zheevd.f 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 zheevr.f zheevr.f plus dependencies for Computes selected eigenvalues, and optionally, eigenvectors of a complex , Hermitian matrix. Eigenvalues are computed by the dqds , algorithm, and eigenvectors are computed from various "good" LDL^T , representations (also known as Relatively Robust Representations). gams d4a1, d4a5 file zhpev.f zhpev.f plus dependencies for Computes all eigenvalues and, optionally, eigenvectors of a complex , Hermitian matrix in packed storage. gams d4a3 file zhpevd.f zhpevd.f 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.f zhbev.f plus dependencies for Computes all eigenvalues and, optionally, eigenvectors of a complex , Hermitian band matrix. gams d4a3, d4a6 file zhbevd.f zhbevd.f 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.f zgees.f 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.f zgeev.f plus dependencies for Computes the eigenvalues and left and right eigenvectors of , a general matrix. gams d4a4 file zgesvd.f zgesvd.f plus dependencies for Computes the singular value decomposition (SVD) of a general , rectangular matrix. gams d6 file zgesdd.f zgesdd.f plus dependencies for Computes the singular value decomposition (SVD) of a general , rectangular matrix using divide-and-conquer. gams d6 file zhegv.f zhegv.f 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 zhegvd.f zhegvd.f 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. , If eigenvectors are desired, it uses a divide and conquer algorithm. gams d4b3 file zhpgv.f zhpgv.f 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 zhpgvd.f zhpgvd.f 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. , If eigenvectors are desired, it uses a divide and conquer algorithm. gams d4b3 file zhbgv.f zhbgv.f 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 zhbgvd.f zhbgvd.f 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. , If eigenvectors are desired, it uses a divide and conquer algorithm. file zgegs.f zgegs.f plus dependencies for Computes the generalized eigenvalues, Schur form, and left and/or , right Schur vectors for a pair of nonsymmetric matrices file zgges.f zgges.f plus dependencies for Computes the generalized eigenvalues, Schur form, and left and/or , right Schur vectors for a pair of nonsymmetric matrices file zgegv.f zgegv.f plus dependencies for Computes the generalized eigenvalues, and left and/or right , generalized eigenvectors for a pair of nonsymmetric matrices file zggev.f zggev.f plus dependencies for Computes the generalized eigenvalues, and left and/or right , generalized eigenvectors for a pair of nonsymmetric matrices file zggsvd.f zggsvd.f plus dependencies for Computes the Generalized Singular Value Decomposition # ----------------------------------------- # Available EXPERT and RRR DRIVER routines: # ----------------------------------------- file zgesvx.f zgesvx.f 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.f zgbsvx.f 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.f zgtsvx.f 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.f zposvx.f 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.f zppsvx.f 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.f zpbsvx.f 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.f zptsvx.f 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.f zsysvx.f 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.f zhesvx.f 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.f zspsvx.f 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.f zhpsvx.f 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.f zgelsx.f 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 zgelsy.f zgelsy.f 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.f zgelss.f 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.f zheevx.f plus dependencies for Computes selected eigenvalues and eigenvectors of a Hermitian matrix. gams d4a3 file zheevr.f zheevr.f plus dependencies for Computes selected eigenvalues, and optionally, eigenvectors of a complex , Hermitian matrix. Eigenvalues are computed by the dqds , algorithm, and eigenvectors are computed from various "good" LDL^T , representations (also known as Relatively Robust Representations). gams d4a1, d4a5 file zhegvx.f zhegvx.f plus dependencies for Computes selected eigenvalues, and optionally, the eigenvectors of , a generalized Hermitian-definite generalized eigenproblem, , Ax= lambda Bx, ABx= lambda x, or BAx= lambda x. gams d4b3 file zhpevx.f zhpevx.f plus dependencies for Computes selected eigenvalues and eigenvectors of a , Hermitian matrix in packed storage. gams d4a3 file zhpgvx.f zhpgvx.f plus dependencies for Computes selected eigenvalues, and optionally, the 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 zhbevx.f zhbevx.f plus dependencies for Computes selected eigenvalues and eigenvectors of a , Hermitian band matrix. gams d4a3, d4a6 file zhbgvx.f zhbgvx.f plus dependencies for Computes selected 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 zgeesx.f zgeesx.f 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 zggesx.f zggesx.f plus dependencies for Computes the generalized eigenvalues, the real Schur form, and, , optionally, the left and/or right matrices of Schur vectors. file zgeevx.f zgeevx.f 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 file zggevx.f zggevx.f plus dependencies for Computes the generalized eigenvalues, and optionally, the left , and/or right generalized eigenvectors. # --------------------------------- # Available COMPUTATIONAL routines: # --------------------------------- file zbdsdc.f for Computes the singular value decomposition (SVD) of a real bidiagonal , matrix, using a divide and conquer method. gams d6 file zbdsqr.f zbdsqr.f plus dependencies for Computes the singular value decomposition (SVD) of a real bidiagonal , matrix, using the bidiagonal QR algorithm. gams d6 file zgbbrd.f zgbbrd.f plus dependencies , Reduces a complex general band matrix to real upper bidiagonal form , by a unitary transformation. file zgbcon.f zgbcon.f 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 ZGBTRF. gams d2c2 file zgbequ.f zgbequ.f plus dependencies for Computes row and column scalings to equilibrate a general band , matrix and reduce its condition number. gams d2c2 file zgbrfs.f zgbrfs.f 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.f zgbtrf.f plus dependencies for Computes an LU factorization of a general band matrix, using , partial pivoting with row interchanges. gams d2c2 file zgbtrs.f zgbtrs.f 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 ZGBTRF. gams d2c2 file zgebak.f zgebak.f plus dependencies for Transforms eigenvectors of a balanced matrix to those of the , original matrix supplied to ZGEBAL. gams d4c4 file zgebal.f zgebal.f plus dependencies for Balances a general matrix in order to improve the accuracy , of computed eigenvalues. gams d4c1a file zgebrd.f zgebrd.f plus dependencies for Reduces a general rectangular matrix to real bidiagonal form , by an orthogonal/unitary transformation. gams d6 file zgecon.f zgecon.f 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 ZGETRF. gams d2c1 file zgeequ.f zgeequ.f plus dependencies for Computes row and column scalings to equilibrate a general , rectangular matrix and reduce its condition number. gams d2c1 file zgehrd.f zgehrd.f plus dependencies for Reduces a general matrix to upper Hessenberg form by an , unitary similarity transformation. gams d4c1b2 file zgelqf.f zgelqf.f plus dependencies for Computes an LQ factorization of a general rectangular matrix. gams d5 file zgeqlf.f zgeqlf.f plus dependencies for Computes a QL factorization of a general rectangular matrix. gams d5 file zgeqp3.f zgeqp3.f plus dependencies for Computes a QR factorization with column pivoting of a general , rectangular matrix using Level 3 BLAS. gams d5 file zgeqpf.f zgeqpf.f plus dependencies for Computes a QR factorization with column pivoting of a general , rectangular matrix. gams d5 file zgeqrf.f zgeqrf.f plus dependencies for Computes a QR factorization of a general rectangular matrix. gams d5 file zgerfs.f zgerfs.f 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.f zgerqf.f plus dependencies for Computes an RQ factorization of a general rectangular matrix. gams d5 file zgetrf.f zgetrf.f plus dependencies for Computes an LU factorization of a general matrix, using partial , pivoting with row interchanges. gams d2c1 file zgetri.f zgetri.f plus dependencies for Computes the inverse of a general matrix, using the LU factorization , computed by ZGETRF. gams d2c1 file zgetrs.f zgetrs.f 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 ZGETRF. gams d2c1 file zggbak.f zggbak.f 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 ZGGBAL. file zggbal.f zggbal.f plus dependencies For Balances a pair of general complex matrices for the generalized , eigenvalue problem A x = lambda B x. file zgghrd.f zgghrd.f plus dependencies for Reduces a pair of complex matrices to generalized upper , Hessenberg form using unitary similarity transformations. file zggqrf.f zggqrf.f plus dependencies for Computes a generalized QR factorization of a pair of matrices. file zggrqf.f zggrqf.f plus dependencies for Computes a generalized RQ factorization of a pair of matrices. file zggsvp.f zggsvp.f plus dependencies for Computes unitary matrices as a preprocessing step , for computing the generalized singular value decomposition file zgtcon.f zgtcon.f 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 ZGTTRF. gams d2c2a file zgtrfs.f zgtrfs.f 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.f zgttrf.f plus dependencies for Computes an LU factorization of a general tridiagonal matrix, , using partial pivoting with row interchanges. gams d2c2a file zgttrs.f zgttrs.f 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 , ZGTTRF. gams d2c2a file zhgeqz.f zhgeqz.f 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.f zhsein.f plus dependencies for Computes specified right and/or left eigenvectors of an upper , Hessenberg matrix by inverse iteration. gams d4c3 file zhseqr.f zhseqr.f plus dependencies for Computes the eigenvalues and Schur factorization of an upper , Hessenberg matrix, using the multishift QR algorithm. gams d4c2b file zupgtr.f zupgtr.f plus dependencies for Generates the unitary transformation matrix from , a reduction to tridiagonal form determined by ZHPTRD. gams d4c1b1 file zupmtr.f zupmtr.f plus dependencies for Multiplies a general matrix by the unitary , transformation matrix from a reduction to tridiagonal form , determined by ZHPTRD. gams d4c4 file zungbr.f zungbr.f plus dependencies for Generates the unitary transformation matrices from , a reduction to bidiagonal form determined by ZGEBRD. gams d6 file zunghr.f zunghr.f plus dependencies for Generates the unitary transformation matrix from , a reduction to Hessenberg form determined by ZGEHRD. gams d4c1b2 file zunglq.f zunglq.f plus dependencies for Generates all or part of the unitary matrix Q from , an LQ factorization determined by ZGELQF. gams d5 file zungql.f zungql.f plus dependencies for Generates all or part of the unitary matrix Q from , a QL factorization determined by ZGEQLF. gams d5 file zungqr.f zungqr.f plus dependencies for Generates all or part of the unitary matrix Q from , a QR factorization determined by ZGEQRF. gams d5 file zungrq.f zungrq.f plus dependencies for Generates all or part of the unitary matrix Q from , an RQ factorization determined by ZGERQF. gams d5 file zungtr.f zungtr.f plus dependencies for Generates the unitary transformation matrix from , a reduction to tridiagonal form determined by ZHETRD. gams d4c1b1 file zunmbr.f zunmbr.f plus dependencies for Multiplies a general matrix by one of the unitary , transformation matrices from a reduction to bidiagonal form , determined by ZGEBRD. gams d6 file zunmhr.f zunmhr.f plus dependencies for Multiplies a general matrix by the unitary transformation , matrix from a reduction to Hessenberg form determined by ZGEHRD. gams d4c4 file zunmlq.f zunmlq.f plus dependencies for Multiplies a general matrix by the unitary matrix , from an LQ factorization determined by ZGELQF. gams d5 file zunmql.f zunmql.f plus dependencies for Multiplies a general matrix by the unitary matrix , from a QL factorization determined by ZGEQLF. gams d5 file zunmqr.f zunmqr.f plus dependencies for Multiplies a general matrix by the unitary matrix , from a QR factorization determined by ZGEQRF. gams d5 file zunmr3.f zunmr3.f plus dependencies for Multiples a general matrix by the unitary matrix , from an RZ factorization determined by ZTZRZF. file zunmrq.f zunmrq.f plus dependencies for Multiplies a general matrix by the unitary matrix , from an RQ factorization determined by ZGERQF. gams d5 file zunmrz.f zunmrz.f plus dependencies for Multiples a general matrix by the unitary matrix , from an RZ factorization determined by ZTZRZF. file zunmtr.f zunmtr.f plus dependencies for Multiplies a general matrix by the unitary , transformation matrix from a reduction to tridiagonal form , determined by ZHETRD. gams d4c4 file zpbcon.f zpbcon.f plus dependencies for Estimates the reciprocal of the condition number of a , Hermitian positive definite band matrix, using the , Cholesky factorization computed by ZPBTRF. gams d2d2 file zpbequ.f zpbequ.f 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.f zpbrfs.f 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.f zpbstf.f plus dependencies for Computes a split Cholesky factorization of a complex Hermitian , positive definite band matrix. file zpbtrf.f zpbtrf.f plus dependencies for Computes the Cholesky factorization of a Hermitian , positive definite band matrix. gams d2d2 file zpbtrs.f zpbtrs.f plus dependencies for Solves a Hermitian positive definite banded system , of linear equations AX=B, using the Cholesky factorization , computed by ZPBTRF. gams d2d2 file zpocon.f zpocon.f plus dependencies for Estimates the reciprocal of the condition number of a , Hermitian positive definite matrix, using the , Cholesky factorization computed by ZPOTRF. gams d2d1b file zpoequ.f zpoequ.f plus dependencies for Computes row and column scalings to equilibrate a Hermitian , positive definite matrix and reduce its condition number. gams d2d1b file zporfs.f zporfs.f 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.f zpotrf.f plus dependencies for Computes the Cholesky factorization of a Hermitian , positive definite matrix. gams d2d1b file zpotri.f zpotri.f plus dependencies for Computes the inverse of a Hermitian positive definite , matrix, using the Cholesky factorization computed by ZPOTRF. gams d2d1b file zpotrs.f zpotrs.f plus dependencies for Solves a Hermitian positive definite system of linear , equations AX=B, using the Cholesky factorization computed by , ZPOTRF. gams d2d1b file zppcon.f zppcon.f 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 ZPPTRF. gams d2d1b file zppequ.f zppequ.f 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.f zpprfs.f 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.f zpptrf.f plus dependencies for Computes the Cholesky factorization of a Hermitian , positive definite matrix in packed storage. gams d2d1b file zpptri.f zpptri.f plus dependencies for Computes the inverse of a Hermitian positive definite , matrix in packed storage, using the Cholesky factorization computed , by ZPPTRF. gams d2d1b file zpptrs.f zpptrs.f 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 ZPPTRF. gams d2d1b file zptcon.f zptcon.f plus dependencies for Computes the reciprocal of the condition number of a , Hermitian positive definite tridiagonal matrix, , using the LDL**H factorization computed by ZPTTRF. gams d2d2a file zpteqr.f zpteqr.f 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.f zptrfs.f 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.f zpttrf.f plus dependencies for Computes the LDL**H factorization of a Hermitian , positive definite tridiagonal matrix. gams d2d2a file zpttrs.f zpttrs.f plus dependencies for Solves a Hermitian positive definite tridiagonal , system of linear equations, using the LDL**H factorization , computed by ZPTTRF. gams d2d2a file zhbgst.f zhbgst.f 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 , ZPBSTF (Crawford's algorithm). file zhbtrd.f zhbtrd.f plus dependencies for Reduces a Hermitian band matrix to real symmetric , tridiagonal form by a unitary similarity transformation. gams d4c1b1 file zspcon.f zspcon.f plus dependencies for Estimates the reciprocal of the condition number of a , complex symmetric indefinite , matrix in packed storage, using the factorization computed , by ZSPTRF. gams d2c1 file zhpcon.f zhpcon.f plus dependencies for Estimates the reciprocal of the condition number of a , complex Hermitian indefinite , matrix in packed storage, using the factorization computed , by ZHPTRF. gams d2d1a file zhpgst.f zhpgst.f 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 ZPPTRF. gams d4c1c file zsprfs.f zsprfs.f 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.f zhprfs.f 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.f zhptrd.f plus dependencies for Reduces a Hermitian matrix in packed storage to real , symmetric tridiagonal form by a unitary similarity , transformation. gams d4c1b1 file zsptrf.f zsptrf.f plus dependencies for Computes the factorization of a complex , symmetric-indefinite matrix in packed storage, , using the diagonal pivoting method. gams d2c1 file zhptrf.f zhptrf.f plus dependencies for Computes the factorization of a complex , Hermitian-indefinite matrix in packed storage, , using the diagonal pivoting method. gams d2d1a file zsptri.f zsptri.f plus dependencies for Computes the inverse of a complex symmetric , indefinite matrix in packed storage, using the factorization , computed by ZSPTRF. gams d2c1 file zhptri.f zhptri.f plus dependencies for Computes the inverse of a complex , Hermitian indefinite matrix in packed storage, using the factorization , computed by ZHPTRF. gams d2d1a file zsptrs.f zsptrs.f 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 ZSPTRF. gams d2c1 file zhptrs.f zhptrs.f 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 ZHPTRF. gams d2d1a file zstedc.f zstedc.f plus dependencies for Computes all eigenvalues and, optionally, eigenvectors of a , symmetric tridiagonal matrix using the divide and conquer algorithm. file zstegr.f zstegr.f plus dependencies for Computes selected eigenvalues and, optionally, eigenvectors of a , symmetric tridiagonal matrix. The eigenvalues are computed by the , dqds algorithm, while eigenvectors are computed from various "good" , LDL^T representations (also known as Relatively Robust Representations.) file zstein.f zstein.f plus dependencies for Computes selected eigenvectors of a real symmetric tridiagonal , matrix by inverse iteration. gams d4c3 file zsteqr.f zsteqr.f 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.f zsycon.f plus dependencies for Estimates the reciprocal of the condition number of a , complex symmetric indefinite matrix, , using the factorization computed by ZSYTRF. gams d2c1 file zhecon.f zhecon.f plus dependencies for Estimates the reciprocal of the condition number of a , complex Hermitian indefinite matrix, , using the factorization computed by ZHETRF. gams d2d1a file zhegst.f zhegst.f 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 ZPOTRF. gams d4c1c file zsyrfs.f zsyrfs.f 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.f zherfs.f 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.f zhetrd.f plus dependencies for Reduces a Hermitian matrix to real symmetric tridiagonal , form by an orthogonal/unitary similarity transformation. gams d4c1b1 file zsytrf.f zsytrf.f plus dependencies for Computes the factorization of a complex symmetric-indefinite matrix, , using the diagonal pivoting method. gams d2c1 file zhetrf.f zhetrf.f plus dependencies for Computes the factorization of a complex Hermitian-indefinite matrix, , using the diagonal pivoting method. gams d2d1a file zsytri.f zsytri.f plus dependencies for Computes the inverse of a complex symmetric indefinite matrix, , using the factorization computed by ZSYTRF. gams d2c1 file zhetri.f zhetri.f plus dependencies for Computes the inverse of a complex Hermitian indefinite matrix, , using the factorization computed by ZHETRF. gams d2d1a file zsytrs.f zsytrs.f plus dependencies for Solves a complex symmetric indefinite system of linear equations AX=B, , using the factorization computed by ZSPTRF. gams d2c1 file zhetrs.f zhetrs.f plus dependencies for Solves a complex Hermitian indefinite system of linear equations AX=B, , using the factorization computed by ZHPTRF. gams d2d1a file ztbcon.f ztbcon.f 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.f ztbrfs.f 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.f ztbtrs.f 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.f ztgevc.f 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 ztgexc.f ztgexc.f plus dependencies for Reorders the generalized Schur decomposition of a complex , matrix pair (A,B) using a unitary equivalence transformation , so that the diagonal block of (A,B) with row index IFST is moved , to row ILST. file ztgsen.f ztgsen.f plus dependencies for Reorders the generalized Schur decomposition of a complex , matrix pair (A, B) so that a selected cluster of eigenvalues , appears in the leading diagonal blocks of the pair (A,B). file ztgsja.f ztgsja.f plus dependencies for Computes the generalized singular value decomposition of two complex , upper triangular (or trapezoidal) matrices as output by ZGGSVP. gams d6 file ztgsna.f ztgsna.f plus dependencies for Estimates reciprocal condition numbers for specified , eigenvalues and/or eigenvectors of a matrix pair (A, B) in , generalized Schur canonical form, as returned by ZGGES. file ztgsyl.f ztgsyl.f plus dependencies for Solves the generalized Sylvester equation. file ztpcon.f ztpcon.f 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.f ztprfs.f 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.f ztptri.f plus dependencies for Computes the inverse of a triangular matrix in packed storage. gams d2c3 file ztptrs.f ztptrs.f 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.f ztrcon.f 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.f ztrevc.f plus dependencies for Computes left and right eigenvectors of an complex upper triangular , matrix. gams d4c3 file ztrexc.f ztrexc.f plus dependencies for Reorders the Schur factorization of a matrix by a unitary , similarity transformation. gams d4c file ztrrfs.f ztrrfs.f 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.f ztrsen.f 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.f ztrsna.f plus dependencies for Estimates the reciprocal condition numbers (sensitivities) , of selected eigenvalues and eigenvectors of a complex upper , triangular matrix. gams d4c file ztrsyl.f ztrsyl.f 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.f ztrtri.f plus dependencies for Computes the inverse of a triangular matrix. gams d2c3 file ztrtrs.f ztrtrs.f 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.f ztzrqf.f plus dependencies for Computes an RQ factorization of an upper trapezoidal matrix. gams d5 file ztzrzf.f ztzrzf.f plus dependencies for Computes an RZ factorization of an upper trapezoidal matrix , (blocked version of ZTZRQF).