netlib/lapack/complex/index

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Available SIMPLE and DIVIDE AND CONQUER DRIVER routines:
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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/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/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/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/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/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/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/cgegv.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

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Available EXPERT DRIVER routines:
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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/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/chpevx.f
for: Computes selected eigenvalues and eigenvectors of a , Hermitian matrix in packed storage.
gams: d4a3
file: lapack/complex/chbevx.f
for: Computes selected eigenvalues and eigenvectors of a , Hermitian band matrix.
gams: d4a3, d4a6
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/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
```
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Available COMPUTATIONAL routines:
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```
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/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/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/cunmrq.f
for: Multiplies a general matrix by the unitary matrix , from an RQ factorization determined by CGERQF.
gams: d5
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/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/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/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
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Eric and Jack