# ------------------------------------------------------- # Available SIMPLE and DIVIDE AND CONQUER DRIVER routines: # ------------------------------------------------------- file lapack/complex/cgesv.f for Solves a general system of linear equations AX=B. gams d2c1 file lapack/complex/cgbsv.f for Solves a general banded system of linear equations AX=B. gams d2c2 file lapack/complex/cgtsv.f for Solves a general tridiagonal system of linear equations AX=B. gams d2c2a file lapack/complex/cposv.f for Solves a Hermitian positive definite system of linear , equations AX=B. gams d2d1b file lapack/complex/cppsv.f for Solves a Hermitian positive definite system of linear , equations AX=B, where A is in packed storage. gams d2d1b file lapack/complex/cpbsv.f for Solves a Hermitian positive definite banded system , of linear equations AX=B. gams d2d2 file lapack/complex/cptsv.f for Solves a Hermitian positive definite tridiagonal system , of linear equations AX=B. gams d2d2a file lapack/complex/csysv.f for Solves a complex symmetric indefinite system of linear equations AX=B. gams d2c1 file lapack/complex/chesv.f for Solves a complex Hermitian indefinite system of linear equations AX=B. gams d2d1a file lapack/complex/cspsv.f for Solves a complex symmetric indefinite system of linear equations AX=B, , where A is held in packed storage. gams d2c1 file lapack/complex/chpsv.f for Solves a complex Hermitian indefinite system of linear equations AX=B, , where A is held in packed storage. gams d2d1a file lapack/complex/cgels.f 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 lapack/complex/cgelsd.f 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 lapack/complex/cgglse.f for Solves the LSE (Constrained Linear Least Squares Problem) using , the GRQ (Generalized RQ) factorization gams d9b1 file lapack/complex/cggglm.f for Solves the GLM (Generalized Linear Regression Model) using , the GQR (Generalized QR) factorization file lapack/complex/cheev.f for Computes all eigenvalues and, optionally, eigenvectors of a complex , Hermitian matrix. gams d4a3 file lapack/complex/cheevd.f 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 lapack/complex/cheevr.f 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 lapack/complex/chpev.f for Computes all eigenvalues and, optionally, eigenvectors of a complex , Hermitian matrix in packed storage. gams d4a3 file lapack/complex/chpevd.f 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 lapack/complex/chbev.f for Computes all eigenvalues and, optionally, eigenvectors of a complex , Hermitian band matrix. gams d4a3, d4a6 file lapack/complex/chbevd.f 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 lapack/complex/cgees.f 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 lapack/complex/cgeev.f for Computes the eigenvalues and left and right eigenvectors of , a general matrix. gams d4a4 file lapack/complex/cgesvd.f for Computes the singular value decomposition (SVD) of a general , rectangular matrix. gams d6 file lapack/complex/cgesdd.f for Computes the singular value decomposition (SVD) of a general , rectangular matrix using divide-and-conquer. gams d6 file lapack/complex/chegv.f 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 lapack/complex/chegvd.f 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 lapack/complex/chpgv.f 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 lapack/complex/chpgvd.f 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 lapack/complex/chbgv.f 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 lapack/complex/chbgvd.f 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 lapack/complex/cgegs.f for Computes the generalized eigenvalues, Schur form, and left and/or , right Schur vectors for a pair of nonsymmetric matrices file lapack/complex/cgges.f for Computes the generalized eigenvalues, Schur form, and left and/or , right Schur vectors for a pair of nonsymmetric matrices file lapack/complex/cgegv.f for Computes the generalized eigenvalues, and left and/or right , generalized eigenvectors for a pair of nonsymmetric matrices file lapack/complex/cggev.f for Computes the generalized eigenvalues, and left and/or right , generalized eigenvectors for a pair of nonsymmetric matrices file lapack/complex/cggsvd.f for Computes the Generalized Singular Value Decomposition # ----------------------------------------- # Available EXPERT and RRR DRIVER routines: # ----------------------------------------- file lapack/complex/cgesvx.f 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 lapack/complex/cgbsvx.f 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 lapack/complex/cgtsvx.f 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 lapack/complex/cposvx.f 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 lapack/complex/cppsvx.f 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 lapack/complex/cpbsvx.f 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 lapack/complex/cptsvx.f 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 lapack/complex/csysvx.f 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 lapack/complex/chesvx.f 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 lapack/complex/cspsvx.f 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 lapack/complex/chpsvx.f 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 lapack/complex/cgelsx.f 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 lapack/complex/cgelsy.f 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 lapack/complex/cgelss.f 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 lapack/complex/cheevx.f for Computes selected eigenvalues and eigenvectors of a Hermitian matrix. gams d4a3 file lapack/complex/cheevr.f 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 lapack/complex/chegvx.f 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 lapack/complex/chpevx.f for Computes selected eigenvalues and eigenvectors of a , Hermitian matrix in packed storage. gams d4a3 file lapack/complex/chpgvx.f 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 lapack/complex/chbevx.f for Computes selected eigenvalues and eigenvectors of a , Hermitian band matrix. gams d4a3, d4a6 file lapack/complex/chbgvx.f 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 lapack/complex/cgeesx.f 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 lapack/complex/cggesx.f for Computes the generalized eigenvalues, the real Schur form, and, , optionally, the left and/or right matrices of Schur vectors. file lapack/complex/cgeevx.f 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 lapack/complex/cggevx.f for Computes the generalized eigenvalues, and optionally, the left , and/or right generalized eigenvectors. # --------------------------------- # Available COMPUTATIONAL routines: # --------------------------------- file lapack/complex/cbdsdc.f for Computes the singular value decomposition (SVD) of a real bidiagonal , matrix, using a divide and conquer method. gams d6 file lapack/complex/cbdsqr.f for Computes the singular value decomposition (SVD) of a real bidiagonal , matrix, using the bidiagonal QR algorithm. gams d6 file lapack/complex/cgbbrd.f , Reduces a complex general band matrix to real upper bidiagonal form , by a unitary transformation. file lapack/complex/cgbcon.f 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 lapack/complex/cgbequ.f for Computes row and column scalings to equilibrate a general band , matrix and reduce its condition number. gams d2c2 file lapack/complex/cgbrfs.f 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 lapack/complex/cgbtrf.f for Computes an LU factorization of a general band matrix, using , partial pivoting with row interchanges. gams d2c2 file lapack/complex/cgbtrs.f 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 lapack/complex/cgebak.f for Transforms eigenvectors of a balanced matrix to those of the , original matrix supplied to CGEBAL. gams d4c4 file lapack/complex/cgebal.f for Balances a general matrix in order to improve the accuracy , of computed eigenvalues. gams d4c1a file lapack/complex/cgebrd.f for Reduces a general rectangular matrix to real bidiagonal form , by an orthogonal/unitary transformation. gams d6 file lapack/complex/cgecon.f 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 lapack/complex/cgeequ.f for Computes row and column scalings to equilibrate a general , rectangular matrix and reduce its condition number. gams d2c1 file lapack/complex/cgehrd.f for Reduces a general matrix to upper Hessenberg form by an , unitary similarity transformation. gams d4c1b2 file lapack/complex/cgelqf.f for Computes an LQ factorization of a general rectangular matrix. gams d5 file lapack/complex/cgeqlf.f for Computes a QL factorization of a general rectangular matrix. gams d5 file lapack/complex/cgeqp3.f for Computes a QR factorization with column pivoting of a general , rectangular matrix using Level 3 BLAS. gams d5 file lapack/complex/cgeqpf.f for Computes a QR factorization with column pivoting of a general , rectangular matrix. gams d5 file lapack/complex/cgeqrf.f for Computes a QR factorization of a general rectangular matrix. gams d5 file lapack/complex/cgerfs.f 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 lapack/complex/cgerqf.f for Computes an RQ factorization of a general rectangular matrix. gams d5 file lapack/complex/cgetrf.f for Computes an LU factorization of a general matrix, using partial , pivoting with row interchanges. gams d2c1 file lapack/complex/cgetri.f for Computes the inverse of a general matrix, using the LU factorization , computed by CGETRF. gams d2c1 file lapack/complex/cgetrs.f 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 lapack/complex/cggbak.f 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 lapack/complex/cggbal.f For Balances a pair of general complex matrices for the generalized , eigenvalue problem A x = lambda B x. file lapack/complex/cgghrd.f for Reduces a pair of complex matrices to generalized upper , Hessenberg form using unitary similarity transformations. file lapack/complex/cggqrf.f for Computes a generalized QR factorization of a pair of matrices. file lapack/complex/cggrqf.f for Computes a generalized RQ factorization of a pair of matrices. file lapack/complex/cggsvp.f for Computes unitary matrices as a preprocessing step , for computing the generalized singular value decomposition file lapack/complex/cgtcon.f 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 lapack/complex/cgtrfs.f 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 lapack/complex/cgttrf.f for Computes an LU factorization of a general tridiagonal matrix, , using partial pivoting with row interchanges. gams d2c2a file lapack/complex/cgttrs.f 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 lapack/complex/chgeqz.f 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 lapack/complex/chsein.f for Computes specified right and/or left eigenvectors of an upper , Hessenberg matrix by inverse iteration. gams d4c3 file lapack/complex/chseqr.f for Computes the eigenvalues and Schur factorization of an upper , Hessenberg matrix, using the multishift QR algorithm. gams d4c2b file lapack/complex/cupgtr.f for Generates the unitary transformation matrix from , a reduction to tridiagonal form determined by CHPTRD. gams d4c1b1 file lapack/complex/cupmtr.f for Multiplies a general matrix by the unitary , transformation matrix from a reduction to tridiagonal form , determined by CHPTRD. gams d4c4 file lapack/complex/cungbr.f for Generates the unitary transformation matrices from , a reduction to bidiagonal form determined by CGEBRD. gams d6 file lapack/complex/cunghr.f for Generates the unitary transformation matrix from , a reduction to Hessenberg form determined by CGEHRD. gams d4c1b2 file lapack/complex/cunglq.f for Generates all or part of the unitary matrix Q from , an LQ factorization determined by CGELQF. gams d5 file lapack/complex/cungql.f for Generates all or part of the unitary matrix Q from , a QL factorization determined by CGEQLF. gams d5 file lapack/complex/cungqr.f for Generates all or part of the unitary matrix Q from , a QR factorization determined by CGEQRF. gams d5 file lapack/complex/cungrq.f for Generates all or part of the unitary matrix Q from , an RQ factorization determined by CGERQF. gams d5 file lapack/complex/cungtr.f for Generates the unitary transformation matrix from , a reduction to tridiagonal form determined by CHETRD. gams d4c1b1 file lapack/complex/cunmbr.f for Multiplies a general matrix by one of the unitary , transformation matrices from a reduction to bidiagonal form , determined by CGEBRD. gams d6 file lapack/complex/cunmhr.f for Multiplies a general matrix by the unitary transformation , matrix from a reduction to Hessenberg form determined by CGEHRD. gams d4c4 file lapack/complex/cunmlq.f for Multiplies a general matrix by the unitary matrix , from an LQ factorization determined by CGELQF. gams d5 file lapack/complex/cunmql.f for Multiplies a general matrix by the unitary matrix , from a QL factorization determined by CGEQLF. gams d5 file lapack/complex/cunmqr.f for Multiplies a general matrix by the unitary matrix , from a QR factorization determined by CGEQRF. gams d5 file lapack/complex/cunmr3.f for Multiples a general matrix by the unitary matrix , from an RZ factorization determined by CTZRZF. file lapack/complex/cunmrq.f for Multiplies a general matrix by the unitary matrix , from an RQ factorization determined by CGERQF. gams d5 file lapack/complex/cunmrz.f for Multiples a general matrix by the unitary matrix , from an RZ factorization determined by CTZRZF. file lapack/complex/cunmtr.f for Multiplies a general matrix by the unitary , transformation matrix from a reduction to tridiagonal form , determined by CHETRD. gams d4c4 file lapack/complex/cpbcon.f 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 lapack/complex/cpbequ.f for Computes row and column scalings to equilibrate a Hermitian , positive definite band matrix and reduce its condition number. gams d2d2 file lapack/complex/cpbrfs.f 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 lapack/complex/cpbstf.f for Computes a split Cholesky factorization of a complex Hermitian , positive definite band matrix. file lapack/complex/cpbtrf.f for Computes the Cholesky factorization of a Hermitian , positive definite band matrix. gams d2d2 file lapack/complex/cpbtrs.f for Solves a Hermitian positive definite banded system , of linear equations AX=B, using the Cholesky factorization , computed by CPBTRF. gams d2d2 file lapack/complex/cpocon.f for Estimates the reciprocal of the condition number of a , Hermitian positive definite matrix, using the , Cholesky factorization computed by CPOTRF. gams d2d1b file lapack/complex/cpoequ.f for Computes row and column scalings to equilibrate a Hermitian , positive definite matrix and reduce its condition number. gams d2d1b file lapack/complex/cporfs.f 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 lapack/complex/cpotrf.f for Computes the Cholesky factorization of a Hermitian , positive definite matrix. gams d2d1b file lapack/complex/cpotri.f for Computes the inverse of a Hermitian positive definite , matrix, using the Cholesky factorization computed by CPOTRF. gams d2d1b file lapack/complex/cpotrs.f for Solves a Hermitian positive definite system of linear , equations AX=B, using the Cholesky factorization computed by , CPOTRF. gams d2d1b file lapack/complex/cppcon.f 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 lapack/complex/cppequ.f for Computes row and column scalings to equilibrate a Hermitian , positive definite matrix in packed storage and reduce its condition , number. gams d2d1b file lapack/complex/cpprfs.f 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 lapack/complex/cpptrf.f for Computes the Cholesky factorization of a Hermitian , positive definite matrix in packed storage. gams d2d1b file lapack/complex/cpptri.f for Computes the inverse of a Hermitian positive definite , matrix in packed storage, using the Cholesky factorization computed , by CPPTRF. gams d2d1b file lapack/complex/cpptrs.f 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 lapack/complex/cptcon.f 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 lapack/complex/cpteqr.f 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 lapack/complex/cptrfs.f 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 lapack/complex/cpttrf.f for Computes the LDL**H factorization of a Hermitian , positive definite tridiagonal matrix. gams d2d2a file lapack/complex/cpttrs.f for Solves a Hermitian positive definite tridiagonal , system of linear equations, using the LDL**H factorization , computed by CPTTRF. gams d2d2a file lapack/complex/chbgst.f 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 lapack/complex/chbtrd.f for Reduces a Hermitian band matrix to real symmetric , tridiagonal form by a unitary similarity transformation. gams d4c1b1 file lapack/complex/cspcon.f 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 lapack/complex/chpcon.f 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 lapack/complex/chpgst.f 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 lapack/complex/csprfs.f 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 lapack/complex/chprfs.f 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 lapack/complex/chptrd.f for Reduces a Hermitian matrix in packed storage to real , symmetric tridiagonal form by a unitary similarity , transformation. gams d4c1b1 file lapack/complex/csptrf.f for Computes the factorization of a complex , symmetric-indefinite matrix in packed storage, , using the diagonal pivoting method. gams d2c1 file lapack/complex/chptrf.f for Computes the factorization of a complex , Hermitian-indefinite matrix in packed storage, , using the diagonal pivoting method. gams d2d1a file lapack/complex/csptri.f for Computes the inverse of a complex symmetric , indefinite matrix in packed storage, using the factorization , computed by CSPTRF. gams d2c1 file lapack/complex/chptri.f for Computes the inverse of a complex , Hermitian indefinite matrix in packed storage, using the factorization , computed by CHPTRF. gams d2d1a file lapack/complex/csptrs.f 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 lapack/complex/chptrs.f 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 lapack/complex/cstedc.f for Computes all eigenvalues and, optionally, eigenvectors of a , symmetric tridiagonal matrix using the divide and conquer algorithm. file lapack/complex/cstegr.f 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 lapack/complex/cstein.f for Computes selected eigenvectors of a real symmetric tridiagonal , matrix by inverse iteration. gams d4c3 file lapack/complex/csteqr.f for Computes all eigenvalues and eigenvectors of a real symmetric , tridiagonal matrix, using the implicit QL or QR algorithm. gams d4a1, d4a5, d4c2a file lapack/complex/csycon.f for Estimates the reciprocal of the condition number of a , complex symmetric indefinite matrix, , using the factorization computed by CSYTRF. gams d2c1 file lapack/complex/checon.f for Estimates the reciprocal of the condition number of a , complex Hermitian indefinite matrix, , using the factorization computed by CHETRF. gams d2d1a file lapack/complex/chegst.f 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 lapack/complex/csyrfs.f 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 lapack/complex/cherfs.f 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 lapack/complex/chetrd.f for Reduces a Hermitian matrix to real symmetric tridiagonal , form by an orthogonal/unitary similarity transformation. gams d4c1b1 file lapack/complex/csytrf.f for Computes the factorization of a complex symmetric-indefinite matrix, , using the diagonal pivoting method. gams d2c1 file lapack/complex/chetrf.f for Computes the factorization of a complex Hermitian-indefinite matrix, , using the diagonal pivoting method. gams d2d1a file lapack/complex/csytri.f for Computes the inverse of a complex symmetric indefinite matrix, , using the factorization computed by CSYTRF. gams d2c1 file lapack/complex/chetri.f for Computes the inverse of a complex Hermitian indefinite matrix, , using the factorization computed by CHETRF. gams d2d1a file lapack/complex/csytrs.f for Solves a complex symmetric indefinite system of linear equations AX=B, , using the factorization computed by CSPTRF. gams d2c1 file lapack/complex/chetrs.f for Solves a complex Hermitian indefinite system of linear equations AX=B, , using the factorization computed by CHPTRF. gams d2d1a file lapack/complex/ctbcon.f 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 lapack/complex/ctbrfs.f 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 lapack/complex/ctbtrs.f for Solves a triangular banded system of linear equations AX=B, , A**T X=B or A**H X=B. gams d2c2, d2c3 file lapack/complex/ctgevc.f for Computes some or all of the right and/or left generalized eigenvectors , of a pair of complex upper triangular matrices. gams d4b4 file lapack/complex/ctgexc.f 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 lapack/complex/ctgsen.f 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 lapack/complex/ctgsja.f for Computes the generalized singular value decomposition of two complex , upper triangular (or trapezoidal) matrices as output by CGGSVP. gams d6 file lapack/complex/ctgsna.f 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 lapack/complex/ctgsyl.f for Solves the generalized Sylvester equation. file lapack/complex/ctpcon.f 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 lapack/complex/ctprfs.f 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 lapack/complex/ctptri.f for Computes the inverse of a triangular matrix in packed storage. gams d2c3 file lapack/complex/ctptrs.f 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 lapack/complex/ctrcon.f for Estimates the reciprocal of the condition number of a triangular , matrix, in either the 1-norm or the infinity-norm. gams d2c3 file lapack/complex/ctrevc.f for Computes left and right eigenvectors of an complex upper triangular , matrix. gams d4c3 file lapack/complex/ctrexc.f for Reorders the Schur factorization of a matrix by a unitary , similarity transformation. gams d4c file lapack/complex/ctrrfs.f 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 lapack/complex/ctrsen.f 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 lapack/complex/ctrsna.f for Estimates the reciprocal condition numbers (sensitivities) , of selected eigenvalues and eigenvectors of a complex upper , triangular matrix. gams d4c file lapack/complex/ctrsyl.f 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 lapack/complex/ctrtri.f for Computes the inverse of a triangular matrix. gams d2c3 file lapack/complex/ctrtrs.f for Solves a triangular system of linear equations AX=B, , A**T X=B or A**H X=B. gams d2c3 file lapack/complex/ctzrqf.f for Computes an RQ factorization of an upper trapezoidal matrix. gams d5 file lapack/complex/ctzrzf.f for Computes an RZ factorization of an upper trapezoidal matrix , (blocked version of CTZRQF). .