netlib/lapack/single/index

--------------------------------------------------------
Available SIMPLE and DIVIDE AND CONQUER DRIVER routines:
--------------------------------------------------------

file: lapack/single/sgesv.f
for: Solves a general system of linear equations AX=B.
gams: d2a1
file: lapack/single/sgbsv.f
for: Solves a general banded system of linear equations AX=B.
gams: d2a2
file: lapack/single/sgtsv.f
for: Solves a general tridiagonal system of linear equations AX=B.
gams: d2a2a
file: lapack/single/sposv.f
for: Solves a symmetric positive definite system of linear , equations AX=B.
gams: d2b1b
file: lapack/single/sppsv.f
for: Solves a symmetric positive definite system of linear , equations AX=B, where A is held in packed storage.
gams: d2b1b
file: lapack/single/spbsv.f
for: Solves a symmetric positive definite banded system , of linear equations AX=B.
gams: d2b2
file: lapack/single/sptsv.f
for: Solves a symmetric positive definite tridiagonal system , of linear equations AX=B.
gams: d2b2a
file: lapack/single/ssysv.f
for: Solves a real symmetric indefinite system of linear equations AX=B.
gams: d2b1a
file: lapack/single/sspsv.f
for: Solves a real symmetric indefinite system of linear equations AX=B, , where A is held in packed storage.
gams: d2b1a
file: lapack/single/sgels.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/single/sgglse.f
for: Solves the LSE (Constrained Linear Least Squares Problem) using , the GRQ (Generalized RQ) factorization
gams: d9b1
file: lapack/single/sggglm.f
for: Solves the GLM (Generalized Linear Regression Model) using , the GQR (Generalized QR) factorization
file: lapack/single/ssyev.f
for: Computes all eigenvalues, and optionally, eigenvectors of a real , symmetric matrix.
gams: d4a1
file: lapack/single/ssyevd.f
for: Computes all eigenvalues, and optionally, eigenvectors of a real , symmetric matrix. If eigenvectors are desired, it uses a divide , and conquer algorithm.
gams: d4a1
file: lapack/single/sspev.f
for: Computes all eigenvalues, and optionally, eigenvectors of a real , symmetric matrix in packed storage.
gams: d4a1
file: lapack/single/sspevd.f
for: Computes all eigenvalues, and optionally, eigenvectors of a real , symmetric matrix in packed storage. If eigenvectors are desired, , it uses a divide and conquer algorithm.
gams: d4a1
file: lapack/single/ssbev.f
for: Computes all eigenvalues, and optionally, eigenvectors of a real , symmetric band matrix.
gams: d4a1, d4a6
file: lapack/single/ssbevd.f
for: Computes all eigenvalues, and optionally, eigenvectors of a real , symmetric band matrix. If eigenvectors are desired, it uses a , divide and conquer algorithm.
gams: d4a1, d4a6
file: lapack/single/sstev.f
for: Computes all eigenvalues, and optionally, eigenvectors of a real , symmetric tridiagonal matrix.
gams: d4a1, d4a5
file: lapack/single/sstevd.f
for: Computes all eigenvalues, and optionally, eigenvectors of a real , symmetric tridiagonal matrix. If eigenvectors are desired, it uses , a divide and conquer algorithm.
gams: d4a1, d4a5
file: lapack/single/sgees.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: d4a2
file: lapack/single/sgeev.f
for: Computes the eigenvalues and left and right eigenvectors of , a general matrix.
gams: d4a2
file: lapack/single/sgesvd.f
for: Computes the singular value decomposition (SVD) of a general , rectangular matrix.
gams: d6
file: lapack/single/ssygv.f
for: Computes all eigenvalues and the eigenvectors of a generalized , symmetric-definite generalized eigenproblem, , Ax= lambda Bx, ABx= lambda x, or BAx= lambda x.
gams: d4b1
file: lapack/single/sspgv.f
for: Computes all eigenvalues and eigenvectors of a generalized , symmetric-definite generalized eigenproblem, Ax= lambda , Bx, ABx= lambda x, or BAx= lambda x, where A and B are in packed , storage.
gams: d4b1
file: lapack/single/ssbgv.f
for: Computes all the eigenvalues, and optionally, the eigenvectors , of a real generalized symmetric-definite banded eigenproblem, of , the form A*x=(lambda)*B*x. A and B are assumed to be symmetric , and banded, and B is also positive definite.
file: lapack/single/sgegs.f
for: Computes the generalized eigenvalues, Schur form, and left and/or , right Schur vectors for a pair of nonsymmetric matrices
file: lapack/single/sgegv.f
for: Computes the generalized eigenvalues, and left and/or right , generalized eigenvectors for a pair of nonsymmetric matrices

file: lapack/single/sggsvd.f

for: Computes the Generalized Singular Value Decomposition

---------------------------------
Available EXPERT DRIVER routines:
---------------------------------

file: lapack/single/sgesvx.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: d2a1
file: lapack/single/sgbsvx.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: d2a2
file: lapack/single/sgtsvx.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: d2a2a
file: lapack/single/sposvx.f
for: Solves a symmetric positive definite system of linear , equations AX=B, and provides an estimate of the condition number , and error bounds on the solution.
gams: d2b1b
file: lapack/single/sppsvx.f
for: Solves a symmetric 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: d2b1b
file: lapack/single/spbsvx.f
for: Solves a symmetric positive definite banded system , of linear equations AX=B, and provides an estimate of the condition , number and error bounds on the solution.
gams: d2b2
file: lapack/single/sptsvx.f
for: Solves a symmetric positive definite tridiagonal , system of linear equations AX=B, and provides an estimate of , the condition number and error bounds on the solution.
gams: d2b2a
file: lapack/single/ssysvx.f
for: Solves a real symmetric , indefinite system of linear equations AX=B, and provides an , estimate of the condition number and error bounds on the solution.
gams: d2b1a
file: lapack/single/sspsvx.f
for: Solves a real 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: d2b1a
file: lapack/single/sgelsx.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/single/sgelss.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/single/ssyevx.f
for: Computes selected eigenvalues and eigenvectors of a symmetric matrix.
gams: d4a1
file: lapack/single/sspevx.f
for: Computes selected eigenvalues and eigenvectors of a , symmetric matrix in packed storage.
gams: d4a1
file: lapack/single/ssbevx.f
for: Computes selected eigenvalues and eigenvectors of a , symmetric band matrix.
gams: d4a1, d4a6
file: lapack/single/sstevx.f
for: Computes selected eigenvalues and eigenvectors of a real , symmetric tridiagonal matrix.
gams: d4a1, d4a5
file: lapack/single/sgeesx.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: d4a2
file: lapack/single/sgeevx.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: d4a2
```
---------------------------------
Available COMPUTATIONAL routines:
---------------------------------
```
file: lapack/single/sbdsqr.f
for: Computes the singular value decomposition (SVD) of a real bidiagonal , matrix, using the bidiagonal QR algorithm.
gams: d6
file: lapack/single/sdisna.f
for: Computes the reciprocal condition numbers for the eigenvectors of a , real symmetric or complex Hermitian matrix or for the left or right , singular vectors of a general matrix.
file: lapack/single/sgbbrd.f , Reduces a general band matrix to real upper bidiagonal form , by an orthogonal transformation.
file: lapack/single/sgbcon.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 SGBTRF.
gams: d2a2
file: lapack/single/sgbequ.f
for: Computes row and column scalings to equilibrate a general band , matrix and reduce its condition number.
gams: d2a2
file: lapack/single/sgbrfs.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: d2a2
file: lapack/single/sgbtrf.f
for: Computes an LU factorization of a general band matrix, using , partial pivoting with row interchanges.
gams: d2a2
file: lapack/single/sgbtrs.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 SGBTRF.
gams: d2a2
file: lapack/single/sgebak.f
for: Transforms eigenvectors of a balanced matrix to those of the , original matrix supplied to SGEBAL.
gams: d4c4
file: lapack/single/sgebal.f
for: Balances a general matrix in order to improve the accuracy , of computed eigenvalues.
gams: d4c1a
file: lapack/single/sgebrd.f
for: Reduces a general rectangular matrix to real bidiagonal form , by an orthogonal transformation.
gams: d6
file: lapack/single/sgecon.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 SGETRF.
gams: d2a1
file: lapack/single/sgeequ.f
for: Computes row and column scalings to equilibrate a general , rectangular matrix and reduce its condition number.
gams: d2a1
file: lapack/single/sgehrd.f
for: Reduces a general matrix to upper Hessenberg form by an , orthogonal similarity transformation.
gams: d4c1b2
file: lapack/single/sgelqf.f
for: Computes an LQ factorization of a general rectangular matrix.
gams: d5
file: lapack/single/sgeqlf.f
for: Computes a QL factorization of a general rectangular matrix.
gams: d5
file: lapack/single/sgeqpf.f
for: Computes a QR factorization with column pivoting of a general , rectangular matrix.
gams: d5
file: lapack/single/sgeqrf.f
for: Computes a QR factorization of a general rectangular matrix.
gams: d5
file: lapack/single/sgerfs.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: d2a1
file: lapack/single/sgerqf.f
for: Computes an RQ factorization of a general rectangular matrix.
gams: d5
file: lapack/single/sgetrf.f
for: Computes an LU factorization of a general matrix, using partial , pivoting with row interchanges.
gams: d2a1
file: lapack/single/sgetri.f
for: Computes the inverse of a general matrix, using the LU factorization , computed by SGETRF.
gams: d2a1
file: lapack/single/sgetrs.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 SGETRF.
gams: d2a1
file: lapack/single/sggbak.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 SGGBAL.
file: lapack/single/sggbal.f
For: Balances a pair of general real matrices for the generalized , eigenvalue problem A x = lambda B x.
file: lapack/single/sgghrd.f
for: Reduces a pair of real matrices to generalized upper , Hessenberg form using orthogonal transformations
file: lapack/single/sggqrf.f
for: Computes a generalized QR factorization of a pair of matrices.
file: lapack/single/sggrqf.f
for: Computes a generalized RQ factorization of a pair of matrices.
file: lapack/single/sggsvp.f
for: Computes orthogonal matrices as a preprocessing step , for computing the generalized singular value decomposition
file: lapack/single/sgtcon.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 SGTTRF.
gams: d2a2a
file: lapack/single/sgtrfs.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: d2a2a
file: lapack/single/sgttrf.f
for: Computes an LU factorization of a general tridiagonal matrix, , using partial pivoting with row interchanges.
gams: d2a2a
file: lapack/single/sgttrs.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 , SGTTRF.
gams: d2a2a
file: lapack/single/shgeqz.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/single/shsein.f
for: Computes specified right and/or left eigenvectors of an upper , Hessenberg matrix by inverse iteration.
gams: d4c3
file: lapack/single/shseqr.f
for: Computes the eigenvalues and Schur factorization of an upper , Hessenberg matrix, using the multishift QR algorithm.
gams: d4c2b
file: lapack/single/sopgtr.f
for: Generates the orthogonal transformation matrix from , a reduction to tridiagonal form determined by SSPTRD.
gams: d4c1b1
file: lapack/single/sopmtr.f
for: Multiplies a general matrix by the orthogonal , transformation matrix from a reduction to tridiagonal form , determined by SSPTRD.
gams: d4c4
file: lapack/single/sorgbr.f
for: Generates the orthogonal transformation matrices from , a reduction to bidiagonal form determined by SGEBRD.
gams: d6
file: lapack/single/sorghr.f
for: Generates the orthogonal transformation matrix from , a reduction to Hessenberg form determined by SGEHRD.
gams: d4c1b2
file: lapack/single/sorglq.f
for: Generates all or part of the orthogonal matrix Q from , an LQ factorization determined by SGELQF.
gams: d5
file: lapack/single/sorgql.f
for: Generates all or part of the orthogonal matrix Q from , a QL factorization determined by SGEQLF.
gams: d5
file: lapack/single/sorgqr.f
for: Generates all or part of the orthogonal matrix Q from , a QR factorization determined by SGEQRF.
gams: d5
file: lapack/single/sorgrq.f
for: Generates all or part of the orthogonal matrix Q from , an RQ factorization determined by SGERQF.
gams: d5
file: lapack/single/sorgtr.f
for: Generates the orthogonal transformation matrix from , a reduction to tridiagonal form determined by SSYTRD.
gams: d4c1b1
file: lapack/single/sormbr.f
for: Multiplies a general matrix by one of the orthogonal , transformation matrices from a reduction to bidiagonal form , determined by SGEBRD.
gams: d6
file: lapack/single/sormhr.f
for: Multiplies a general matrix by the orthogonal transformation , matrix from a reduction to Hessenberg form determined by SGEHRD.
gams: d4c4
file: lapack/single/sormlq.f
for: Multiplies a general matrix by the orthogonal matrix , from an LQ factorization determined by SGELQF.
gams: d5
file: lapack/single/sormql.f
for: Multiplies a general matrix by the orthogonal matrix , from a QL factorization determined by SGEQLF.
gams: d5
file: lapack/single/sormqr.f
for: Multiplies a general matrix by the orthogonal matrix , from a QR factorization determined by SGEQRF.
gams: d5
file: lapack/single/sormrq.f
for: Multiplies a general matrix by the orthogonal matrix , from an RQ factorization determined by SGERQF.
gams: d5
file: lapack/single/sormtr.f
for: Multiplies a general matrix by the orthogonal , transformation matrix from a reduction to tridiagonal form , determined by SSYTRD.
gams: d4c4
file: lapack/single/spbcon.f
for: Estimates the reciprocal of the condition number of a , symmetric positive definite band matrix, using the , Cholesky factorization computed by SPBTRF.
gams: d2b2
file: lapack/single/spbequ.f
for: Computes row and column scalings to equilibrate a symmetric , positive definite band matrix and reduce its condition number.
gams: d2b2
file: lapack/single/spbrfs.f
for: Improves the computed solution to a symmetric positive , definite banded system of linear equations AX=B, and provides , forward and backward error bounds for the solution.
gams: d2b2
file: lapack/single/spbstf.f
for: Computes a split Cholesky factorization of a real symmetric positive , definite band matrix.
file: lapack/single/spbtrf.f
for: Computes the Cholesky factorization of a symmetric , positive definite band matrix.
gams: d2b2
file: lapack/single/spbtrs.f
for: Solves a symmetric positive definite banded system , of linear equations AX=B, using the Cholesky factorization , computed by SPBTRF.
gams: d2b2
file: lapack/single/spocon.f
for: Estimates the reciprocal of the condition number of a , symmetric positive definite matrix, using the , Cholesky factorization computed by SPOTRF.
gams: d2b1b
file: lapack/single/spoequ.f
for: Computes row and column scalings to equilibrate a symmetric , positive definite matrix and reduce its condition number.
gams: d2b1b
file: lapack/single/sporfs.f
for: Improves the computed solution to a symmetric positive , definite system of linear equations AX=B, and provides forward , and backward error bounds for the solution.
gams: d2b1b
file: lapack/single/spotrf.f
for: Computes the Cholesky factorization of a symmetric , positive definite matrix.
gams: d2b1b
file: lapack/single/spotri.f
for: Computes the inverse of a symmetric positive definite , matrix, using the Cholesky factorization computed by SPOTRF.
gams: d2b1b
file: lapack/single/spotrs.f
for: Solves a symmetric positive definite system of linear , equations AX=B, using the Cholesky factorization computed by , SPOTRF.
gams: d2b1b
file: lapack/single/sppcon.f
for: Estimates the reciprocal of the condition number of a , symmetric positive definite matrix in packed storage, , using the Cholesky factorization computed by SPPTRF.
gams: d2b1b
file: lapack/single/sppequ.f
for: Computes row and column scalings to equilibrate a symmetric , positive definite matrix in packed storage and reduce its condition , number.
gams: d2b1b
file: lapack/single/spprfs.f
for: Improves the computed solution to a symmetric 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: d2b1b
file: lapack/single/spptrf.f
for: Computes the Cholesky factorization of a symmetric , positive definite matrix in packed storage.
gams: d2b1b
file: lapack/single/spptri.f
for: Computes the inverse of a symmetric positive definite , matrix in packed storage, using the Cholesky factorization computed , by SPPTRF.
gams: d2b1b
file: lapack/single/spptrs.f
for: Solves a symmetric positive definite system of linear , equations AX=B, where A is held in packed storage, using the , Cholesky factorization computed by SPPTRF.
gams: d2b1b
file: lapack/single/sptcon.f
for: Computes the reciprocal of the condition number of a , symmetric positive definite tridiagonal matrix, , using the LDL**H factorization computed by SPTTRF.
gams: d2b2a
file: lapack/single/spteqr.f
for: Computes all eigenvalues and eigenvectors of a real symmetric , positive definite tridiagonal matrix, by computing the SVD of , its bidiagonal Cholesky factor.
gams: d4c2a
file: lapack/single/sptrfs.f
for: Improves the computed solution to a symmetric positive , definite tridiagonal system of linear equations AX=B, and provides , forward and backward error bounds for the solution.
gams: d2b2a
file: lapack/single/spttrf.f
for: Computes the LDL**H factorization of a symmetric , positive definite tridiagonal matrix.
gams: d2b2a
file: lapack/single/spttrs.f
for: Solves a symmetric positive definite tridiagonal , system of linear equations, using the LDL**H factorization , computed by SPTTRF.
gams: d2b2a
file: lapack/single/ssbgst.f
for: Reduces a real symmetric-definite banded generalized eigenproblem , A x = lambda B x to standard form, where B has been factorized by , SPBSTF (Crawford's algorithm).
file: lapack/single/ssbtrd.f
for: Reduces a symmetric band matrix to real symmetric , tridiagonal form by an orthogonal similarity transformation.
gams: d4c1b1
file: lapack/single/sspcon.f
for: Estimates the reciprocal of the condition number of a , real symmetric indefinite , matrix in packed storage, using the factorization computed , by SSPTRF.
gams: d2b1a
file: lapack/single/sspgst.f
for: Reduces a symmetric-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 SPPTRF.
gams: d4c1c
file: lapack/single/ssprfs.f
for: Improves the computed solution to a real , 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: d2b1a
file: lapack/single/ssptrd.f
for: Reduces a symmetric matrix in packed storage to real , symmetric tridiagonal form by an orthogonal similarity , transformation.
gams: d4c1b1
file: lapack/single/ssptrf.f
for: Computes the factorization of a real , symmetric-indefinite matrix in packed storage, , using the diagonal pivoting method.
gams: d2b1a
file: lapack/single/ssptri.f
for: Computes the inverse of a real symmetric , indefinite matrix in packed storage, using the factorization , computed by SSPTRF.
gams: d2b1a
file: lapack/single/ssptrs.f
for: Solves a real symmetric , indefinite system of linear equations AX=B, where A is held , in packed storage, using the factorization computed , by SSPTRF.
gams: d2b1a
file: lapack/single/sstebz.f
for: Computes selected eigenvalues of a real symmetric tridiagonal , matrix by bisection.
gams: d4c2a
file: lapack/single/sstedc.f
for: Computes all eigenvalues and, optionally, eigenvectors of a , symmetric tridiagonal matrix using the divide and conquer algorithm.
file: lapack/single/sstein.f
for: Computes selected eigenvectors of a real symmetric tridiagonal , matrix by inverse iteration.
gams: d4c3
file: lapack/single/ssteqr.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/single/ssterf.f
for: Computes all eigenvalues of a real symmetric tridiagonal matrix, , using a root-free variant of the QL or QR algorithm.
gams: d4c2a
file: lapack/single/ssycon.f
for: Estimates the reciprocal of the condition number of a , real symmetric indefinite matrix, , using the factorization computed by SSYTRF.
gams: d2b1a
file: lapack/single/ssygst.f
for: Reduces a symmetric-definite generalized eigenproblem , Ax= lambda Bx, ABx= lambda x, or BAx= lambda x, to standard , form, where B has been factorized by SPOTRF.
gams: d4c1c
file: lapack/single/ssyrfs.f
for: Improves the computed solution to a real , symmetric indefinite system of linear equations , AX=B, and provides forward and backward error bounds for the , solution.
gams: d2b1a
file: lapack/single/ssytrd.f
for: Reduces a symmetric matrix to real symmetric tridiagonal , form by an orthogonal similarity transformation.
gams: d4c1b1
file: lapack/single/ssytrf.f
for: Computes the factorization of a real symmetric-indefinite matrix, , using the diagonal pivoting method.
gams: d2b1a
file: lapack/single/ssytri.f
for: Computes the inverse of a real symmetric indefinite matrix, , using the factorization computed by SSYTRF.
gams: d2b1a
file: lapack/single/ssytrs.f
for: Solves a real symmetric indefinite system of linear equations AX=B, , using the factorization computed by SSPTRF.
gams: d2b1a
file: lapack/single/stbcon.f
for: Estimates the reciprocal of the condition number of a triangular , band matrix, in either the 1-norm or the infinity-norm.
gams: d2a2, d2a3
file: lapack/single/stbrfs.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: d2a2, d2a3
file: lapack/single/stbtrs.f
for: Solves a triangular banded system of linear equations AX=B, , A**T X=B or A**H X=B.
gams: d2a2, d2a3
file: lapack/single/stgevc.f
for: Computes some or all of the right and/or left generalized eigenvectors , of a pair of upper triangular matrices.
gams: d4b2
file: lapack/single/stgsja.f
for: Computes the generalized singular value decomposition of two real , upper triangular (or trapezoidal) matrices as output by SGGSVP.
gams: d6
file: lapack/single/stpcon.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: d2a3
file: lapack/single/stprfs.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: d2a3
file: lapack/single/stptri.f
for: Computes the inverse of a triangular matrix in packed storage.
gams: d2a3
file: lapack/single/stptrs.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: d2a3
file: lapack/single/strcon.f
for: Estimates the reciprocal of the condition number of a triangular , matrix, in either the 1-norm or the infinity-norm.
gams: d2a3
file: lapack/single/strevc.f
for: Computes some or all of the right and/or left eigenvectors of , an upper quasi-triangular matrix.
gams: d4c3
file: lapack/single/strexc.f
for: Reorders the Schur factorization of a matrix by an orthogonal , similarity transformation.
gams: d4c
file: lapack/single/strrfs.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: d2a3
file: lapack/single/strsen.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/single/strsna.f
for: Estimates the reciprocal condition numbers (sensitivities) , of selected eigenvalues and eigenvectors of an upper , quasi-triangular matrix.
gams: d4c
file: lapack/single/strsyl.f
for: Solves the Sylvester matrix equation A X +/- X B=C where A , and B are upper quasi-triangular, and may be transposed.
gams: d8
file: lapack/single/strtri.f
for: Computes the inverse of a triangular matrix.
gams: d2a3
file: lapack/single/strtrs.f
for: Solves a triangular system of linear equations AX=B, , A**T X=B or A**H X=B.
gams: d2a3
file: lapack/single/stzrqf.f
for: Computes an RQ factorization of an upper trapezoidal matrix.
gams: d5
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Eric and Jack