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# ------------------------------------------------------- # Available SIMPLE and DIVIDE AND CONQUER DRIVER routines: # ------------------------------------------------------- file cgesv.f prec complex for Solves a general system of linear equations AX=B. gams d2c1 file cgbsv.f prec complex for Solves a general banded system of linear equations AX=B. gams d2c2 file cgtsv.f prec complex for Solves a general tridiagonal system of linear equations AX=B. gams d2c2a file cposv.f prec complex for Solves a Hermitian positive definite system of linear , equations AX=B. gams d2d1b file cppsv.f prec complex for Solves a Hermitian positive definite system of linear , equations AX=B, where A is in packed storage. gams d2d1b file cpbsv.f prec complex for Solves a Hermitian positive definite banded system , of linear equations AX=B. gams d2d2 file cptsv.f prec complex for Solves a Hermitian positive definite tridiagonal system , of linear equations AX=B. gams d2d2a file csysv.f prec complex for Solves a complex symmetric indefinite system of linear equations AX=B. gams d2c1 file chesv.f prec complex for Solves a complex Hermitian indefinite system of linear equations AX=B. gams d2d1a file cspsv.f prec complex for Solves a complex symmetric indefinite system of linear equations AX=B, , where A is held in packed storage. gams d2c1 file chpsv.f prec complex for Solves a complex Hermitian indefinite system of linear equations AX=B, , where A is held in packed storage. gams d2d1a file cgels.f prec complex 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 cgelsd.f prec complex 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 cgglse.f prec complex for Solves the LSE (Constrained Linear Least Squares Problem) using , the GRQ (Generalized RQ) factorization gams d9b1 file cggglm.f prec complex for Solves the GLM (Generalized Linear Regression Model) using , the GQR (Generalized QR) factorization file cheev.f prec complex for Computes all eigenvalues and, optionally, eigenvectors of a complex , Hermitian matrix. gams d4a3 file cheevd.f prec complex 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 cheevr.f prec complex 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 chpev.f prec complex for Computes all eigenvalues and, optionally, eigenvectors of a complex , Hermitian matrix in packed storage. gams d4a3 file chpevd.f prec complex 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.f prec complex for Computes all eigenvalues and, optionally, eigenvectors of a complex , Hermitian band matrix. gams d4a3, d4a6 file chbevd.f prec complex 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.f prec complex 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.f prec complex for Computes the eigenvalues and left and right eigenvectors of , a general matrix. gams d4a4 file cgesvd.f prec complex for Computes the singular value decomposition (SVD) of a general , rectangular matrix. gams d6 file cgesdd.f prec complex for Computes the singular value decomposition (SVD) of a general , rectangular matrix using divide-and-conquer. gams d6 file chegv.f prec complex 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 chegvd.f prec complex 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 chpgv.f prec complex 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 chpgvd.f prec complex 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 chbgv.f prec complex 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 chbgvd.f prec complex 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 cgegs.f prec complex for Computes the generalized eigenvalues, Schur form, and left and/or , right Schur vectors for a pair of nonsymmetric matrices file cgges.f prec complex for Computes the generalized eigenvalues, Schur form, and left and/or , right Schur vectors for a pair of nonsymmetric matrices file cgegv.f prec complex for Computes the generalized eigenvalues, and left and/or right , generalized eigenvectors for a pair of nonsymmetric matrices file cggev.f prec complex for Computes the generalized eigenvalues, and left and/or right , generalized eigenvectors for a pair of nonsymmetric matrices file cggsvd.f prec complex for Computes the Generalized Singular Value Decomposition # ----------------------------------------- # Available EXPERT and RRR DRIVER routines: # ----------------------------------------- file cgesvx.f prec complex 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.f prec complex 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.f prec complex 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.f prec complex 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.f prec complex 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.f prec complex 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.f prec complex 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.f prec complex 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.f prec complex 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.f prec complex 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.f prec complex 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.f prec complex 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 cgelsy.f prec complex 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.f prec complex 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.f prec complex for Computes selected eigenvalues and eigenvectors of a Hermitian matrix. gams d4a3 file cheevr.f prec complex 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 chegvx.f prec complex 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 chpevx.f prec complex for Computes selected eigenvalues and eigenvectors of a , Hermitian matrix in packed storage. gams d4a3 file chpgvx.f prec complex 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 chbevx.f prec complex for Computes selected eigenvalues and eigenvectors of a , Hermitian band matrix. gams d4a3, d4a6 file chbgvx.f prec complex 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 cgeesx.f prec complex 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 cggesx.f prec complex for Computes the generalized eigenvalues, the real Schur form, and, , optionally, the left and/or right matrices of Schur vectors. file cgeevx.f prec complex 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 cggevx.f prec complex for Computes the generalized eigenvalues, and optionally, the left , and/or right generalized eigenvectors. # --------------------------------- # Available COMPUTATIONAL routines: # --------------------------------- file cbdsdc.f prec complex for Computes the singular value decomposition (SVD) of a real bidiagonal , matrix, using a divide and conquer method. gams d6 file cbdsqr.f prec complex for Computes the singular value decomposition (SVD) of a real bidiagonal , matrix, using the bidiagonal QR algorithm. gams d6 file cgbbrd.f prec complex , Reduces a complex general band matrix to real upper bidiagonal form , by a unitary transformation. file cgbcon.f prec complex 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.f prec complex for Computes row and column scalings to equilibrate a general band , matrix and reduce its condition number. gams d2c2 file cgbrfs.f prec complex 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.f prec complex for Computes an LU factorization of a general band matrix, using , partial pivoting with row interchanges. gams d2c2 file cgbtrs.f prec complex 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.f prec complex for Transforms eigenvectors of a balanced matrix to those of the , original matrix supplied to CGEBAL. gams d4c4 file cgebal.f prec complex for Balances a general matrix in order to improve the accuracy , of computed eigenvalues. gams d4c1a file cgebrd.f prec complex for Reduces a general rectangular matrix to real bidiagonal form , by an orthogonal/unitary transformation. gams d6 file cgecon.f prec complex 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.f prec complex for Computes row and column scalings to equilibrate a general , rectangular matrix and reduce its condition number. gams d2c1 file cgehrd.f prec complex for Reduces a general matrix to upper Hessenberg form by an , unitary similarity transformation. gams d4c1b2 file cgelqf.f prec complex for Computes an LQ factorization of a general rectangular matrix. gams d5 file cgeqlf.f prec complex for Computes a QL factorization of a general rectangular matrix. gams d5 file cgeqp3.f prec complex for Computes a QR factorization with column pivoting of a general , rectangular matrix using Level 3 BLAS. gams d5 file cgeqpf.f prec complex for Computes a QR factorization with column pivoting of a general , rectangular matrix. gams d5 file cgeqrf.f prec complex for Computes a QR factorization of a general rectangular matrix. gams d5 file cgerfs.f prec complex 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.f prec complex for Computes an RQ factorization of a general rectangular matrix. gams d5 file cgetrf.f prec complex for Computes an LU factorization of a general matrix, using partial , pivoting with row interchanges. gams d2c1 file cgetri.f prec complex for Computes the inverse of a general matrix, using the LU factorization , computed by CGETRF. gams d2c1 file cgetrs.f prec complex 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 CGETRF. gams d2c1 file cggbak.f prec complex 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.f prec complex For Balances a pair of general complex matrices for the generalized , eigenvalue problem A x = lambda B x. file cgghrd.f prec complex for Reduces a pair of complex matrices to generalized upper , Hessenberg form using unitary similarity transformations. file cggqrf.f prec complex for Computes a generalized QR factorization of a pair of matrices. file cggrqf.f prec complex for Computes a generalized RQ factorization of a pair of matrices. file cggsvp.f prec complex for Computes unitary matrices as a preprocessing step , for computing the generalized singular value decomposition file cgtcon.f prec complex 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.f prec complex 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.f prec complex for Computes an LU factorization of a general tridiagonal matrix, , using partial pivoting with row interchanges. gams d2c2a file cgttrs.f prec complex 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.f prec complex 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.f prec complex for Computes specified right and/or left eigenvectors of an upper , Hessenberg matrix by inverse iteration. gams d4c3 file chseqr.f prec complex for Computes the eigenvalues and Schur factorization of an upper , Hessenberg matrix, using the multishift QR algorithm. gams d4c2b file cupgtr.f prec complex for Generates the unitary transformation matrix from , a reduction to tridiagonal form determined by CHPTRD. gams d4c1b1 file cupmtr.f prec complex for Multiplies a general matrix by the unitary , transformation matrix from a reduction to tridiagonal form , determined by CHPTRD. gams d4c4 file cungbr.f prec complex for Generates the unitary transformation matrices from , a reduction to bidiagonal form determined by CGEBRD. gams d6 file cunghr.f prec complex for Generates the unitary transformation matrix from , a reduction to Hessenberg form determined by CGEHRD. gams d4c1b2 file cunglq.f prec complex for Generates all or part of the unitary matrix Q from , an LQ factorization determined by CGELQF. gams d5 file cungql.f prec complex for Generates all or part of the unitary matrix Q from , a QL factorization determined by CGEQLF. gams d5 file cungqr.f prec complex for Generates all or part of the unitary matrix Q from , a QR factorization determined by CGEQRF. gams d5 file cungrq.f prec complex for Generates all or part of the unitary matrix Q from , an RQ factorization determined by CGERQF. gams d5 file cungtr.f prec complex for Generates the unitary transformation matrix from , a reduction to tridiagonal form determined by CHETRD. gams d4c1b1 file cunmbr.f prec complex 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.f prec complex for Multiplies a general matrix by the unitary transformation , matrix from a reduction to Hessenberg form determined by CGEHRD. gams d4c4 file cunmlq.f prec complex for Multiplies a general matrix by the unitary matrix , from an LQ factorization determined by CGELQF. gams d5 file cunmql.f prec complex for Multiplies a general matrix by the unitary matrix , from a QL factorization determined by CGEQLF. gams d5 file cunmqr.f prec complex for Multiplies a general matrix by the unitary matrix , from a QR factorization determined by CGEQRF. gams d5 file cunmr3.f prec complex for Multiples a general matrix by the unitary matrix , from an RZ factorization determined by CTZRZF. file cunmrq.f prec complex for Multiplies a general matrix by the unitary matrix , from an RQ factorization determined by CGERQF. gams d5 file cunmrz.f prec complex for Multiples a general matrix by the unitary matrix , from an RZ factorization determined by CTZRZF. file cunmtr.f prec complex for Multiplies a general matrix by the unitary , transformation matrix from a reduction to tridiagonal form , determined by CHETRD. gams d4c4 file cpbcon.f prec complex 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.f prec complex for Computes row and column scalings to equilibrate a Hermitian , positive definite band matrix and reduce its condition number. gams d2d2 file cpbrfs.f prec complex 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.f prec complex for Computes a split Cholesky factorization of a complex Hermitian , positive definite band matrix. file cpbtrf.f prec complex for Computes the Cholesky factorization of a Hermitian , positive definite band matrix. gams d2d2 file cpbtrs.f prec complex for Solves a Hermitian positive definite banded system , of linear equations AX=B, using the Cholesky factorization , computed by CPBTRF. gams d2d2 file cpocon.f prec complex 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.f prec complex for Computes row and column scalings to equilibrate a Hermitian , positive definite matrix and reduce its condition number. gams d2d1b file cporfs.f prec complex 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.f prec complex for Computes the Cholesky factorization of a Hermitian , positive definite matrix. gams d2d1b file cpotri.f prec complex for Computes the inverse of a Hermitian positive definite , matrix, using the Cholesky factorization computed by CPOTRF. gams d2d1b file cpotrs.f prec complex for Solves a Hermitian positive definite system of linear , equations AX=B, using the Cholesky factorization computed by , CPOTRF. gams d2d1b file cppcon.f prec complex 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.f prec complex 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.f prec complex 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.f prec complex for Computes the Cholesky factorization of a Hermitian , positive definite matrix in packed storage. gams d2d1b file cpptri.f prec complex for Computes the inverse of a Hermitian positive definite , matrix in packed storage, using the Cholesky factorization computed , by CPPTRF. gams d2d1b file cpptrs.f prec complex 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.f prec complex 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.f prec complex 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.f prec complex 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.f prec complex for Computes the LDL**H factorization of a Hermitian , positive definite tridiagonal matrix. gams d2d2a file cpttrs.f prec complex for Solves a Hermitian positive definite tridiagonal , system of linear equations, using the LDL**H factorization , computed by CPTTRF. gams d2d2a file chbgst.f prec complex 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.f prec complex for Reduces a Hermitian band matrix to real symmetric , tridiagonal form by a unitary similarity transformation. gams d4c1b1 file cspcon.f prec complex 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.f prec complex 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.f prec complex 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.f prec complex 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.f prec complex 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.f prec complex for Reduces a Hermitian matrix in packed storage to real , symmetric tridiagonal form by a unitary similarity , transformation. gams d4c1b1 file csptrf.f prec complex for Computes the factorization of a complex , symmetric-indefinite matrix in packed storage, , using the diagonal pivoting method. gams d2c1 file chptrf.f prec complex for Computes the factorization of a complex , Hermitian-indefinite matrix in packed storage, , using the diagonal pivoting method. gams d2d1a file csptri.f prec complex for Computes the inverse of a complex symmetric , indefinite matrix in packed storage, using the factorization , computed by CSPTRF. gams d2c1 file chptri.f prec complex for Computes the inverse of a complex , Hermitian indefinite matrix in packed storage, using the factorization , computed by CHPTRF. gams d2d1a file csptrs.f prec complex 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.f prec complex 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.f prec complex for Computes all eigenvalues and, optionally, eigenvectors of a , symmetric tridiagonal matrix using the divide and conquer algorithm. file cstegr.f prec complex 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 cstein.f prec complex for Computes selected eigenvectors of a real symmetric tridiagonal , matrix by inverse iteration. gams d4c3 file csteqr.f prec complex 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.f prec complex for Estimates the reciprocal of the condition number of a , complex symmetric indefinite matrix, , using the factorization computed by CSYTRF. gams d2c1 file checon.f prec complex for Estimates the reciprocal of the condition number of a , complex Hermitian indefinite matrix, , using the factorization computed by CHETRF. gams d2d1a file chegst.f prec complex 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.f prec complex 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.f prec complex 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.f prec complex for Reduces a Hermitian matrix to real symmetric tridiagonal , form by an orthogonal/unitary similarity transformation. gams d4c1b1 file csytrf.f prec complex for Computes the factorization of a complex symmetric-indefinite matrix, , using the diagonal pivoting method. gams d2c1 file chetrf.f prec complex for Computes the factorization of a complex Hermitian-indefinite matrix, , using the diagonal pivoting method. gams d2d1a file csytri.f prec complex for Computes the inverse of a complex symmetric indefinite matrix, , using the factorization computed by CSYTRF. gams d2c1 file chetri.f prec complex for Computes the inverse of a complex Hermitian indefinite matrix, , using the factorization computed by CHETRF. gams d2d1a file csytrs.f prec complex for Solves a complex symmetric indefinite system of linear equations AX=B, , using the factorization computed by CSPTRF. gams d2c1 file chetrs.f prec complex for Solves a complex Hermitian indefinite system of linear equations AX=B, , using the factorization computed by CHPTRF. gams d2d1a file ctbcon.f prec complex 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.f prec complex 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.f prec complex 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.f prec complex for Computes some or all of the right and/or left generalized eigenvectors , of a pair of complex upper triangular matrices. gams d4b4 file ctgexc.f prec complex 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 ctgsen.f prec complex 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 ctgsja.f prec complex for Computes the generalized singular value decomposition of two complex , upper triangular (or trapezoidal) matrices as output by CGGSVP. gams d6 file ctgsna.f prec complex 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 CGGES. file ctgsyl.f prec complex for Solves the generalized Sylvester equation. file ctpcon.f prec complex 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.f prec complex 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.f prec complex for Computes the inverse of a triangular matrix in packed storage. gams d2c3 file ctptrs.f prec complex 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.f prec complex 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.f prec complex for Computes left and right eigenvectors of an complex upper triangular , matrix. gams d4c3 file ctrexc.f prec complex for Reorders the Schur factorization of a matrix by a unitary , similarity transformation. gams d4c file ctrrfs.f prec complex 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.f prec complex 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.f prec complex for Estimates the reciprocal condition numbers (sensitivities) , of selected eigenvalues and eigenvectors of a complex upper , triangular matrix. gams d4c file ctrsyl.f prec complex 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.f prec complex for Computes the inverse of a triangular matrix. gams d2c3 file ctrtrs.f prec complex for Solves a triangular system of linear equations AX=B, , A**T X=B or A**H X=B. gams d2c3 file ctzrqf.f prec complex for Computes an RQ factorization of an upper trapezoidal matrix. gams d5 file ctzrzf.f prec complex for Computes an RZ factorization of an upper trapezoidal matrix , (blocked version of CTZRQF).