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Class D4c3: Form matrix eigenvectors from eigenvalues

General Information

Parent Class
D4c
Top of Tree
GAMS
Keywords
Eigenvalues, Form eigenvectors from eigenvalues

Modules

Package CLAPACK (Downloadable)

CHSEIN.C
Computes specified right and/or left eigenvectors of an upper Hessenberg matrix by inverse iteration. (Computational routine.). [C version of LAPACK routine, converted from Fortran by f2c.].
CSTEIN.C
Computes selected eigenvectors of a real symmetric tridiagonal matrix by inverse iteration. (Computational routine.). [C version of LAPACK routine, converted from Fortran by f2c.].
CTREVC.C
Computes left and right eigenvectors of a complex upper triangular matrix. (Computational routine.). [C version of LAPACK routine, converted from Fortran by f2c.].
DHSEIN.C
Computes specified right and/or left eigenvectors of a real upper Hessenberg matrix by inverse iteration. (Computational routine.). [C version of LAPACK routine, converted from Fortran by f2c.].
DSTEIN.C
Computes selected eigenvectors of a real symmetric tridiagonal matrix by inverse iteration. (Computational routine.). [C version of LAPACK routine, converted from Fortran by f2c.].
DTREVC.C
Computes left and right eigenvectors of a real upper quasi-triangular matrix. (Computational routine.). [C version of LAPACK routine, converted from Fortran by f2c.].
SHSEIN.C
Computes specified right and/or left eigenvectors of a real upper Hessenberg matrix by inverse iteration. (Computational routine.). [C version of LAPACK routine, converted from Fortran by f2c.].
SSTEIN.C
Computes selected eigenvectors of a real symmetric tridiagonal matrix by inverse iteration. (Computational routine.). [C version of LAPACK routine, converted from Fortran by f2c.].
STREVC.C
Computes left and right eigenvectors of a real upper quasi-triangular matrix. (Computational routine.). [C version of LAPACK routine, converted from Fortran by f2c.].
ZHSEIN.C
Computes specified right and/or left eigenvectors of an upper Hessenberg matrix by inverse iteration. (Computational routine.). [C version of LAPACK routine, converted from Fortran by f2c.].
ZSTEIN.C
Computes selected eigenvectors of a real symmetric tridiagonal matrix by inverse iteration. (Computational routine.). [C version of LAPACK routine, converted from Fortran by f2c.].
ZTREVC.C
Computes left and right eigenvectors of a complex upper triangular matrix. (Computational routine.). [C version of LAPACK routine, converted from Fortran by f2c.].

Package CMLIB (Downloadable; Installed on ITL, ARNO)

BANDV
Forms eigenvectors of real symmetric band matrix associated with a set of ordered approximate eigenvalues by inverse iteration.
QZVEC
The optional fourth step of the QZ algorithm for generalized eigenproblems. Accepts a matrix in quasi-triangular form and another in upper triangular form and computes the eigenvectors of the triangular problem and transforms them back to the original coordinates. Usually preceded by QZHES, QZIT, QZVAL.
TINVIT
Eigenvectors of symmetric tridiagonal matrix corresponding to some specified eigenvalues, using inverse iteration.

Package EISPACK (Downloadable; Installed on ARNO)

BANDV
Forms eigenvectors of real symmetric band matrix associated with a set of ordered approximate eigenvalues by inverse iteration.
QZVEC
The optional fourth step of the QZ algorithm for generalized eigenproblems. Accepts a matrix in quasi-triangular form and another in upper triangular form and computes the eigenvectors of the triangular problem and transforms them back to the original coordinates. Usually preceded by QZHES, QZIT, QZVAL.
TINVIT
Eigenvectors of symmetric tridiagonal matrix corresponding to some specified eigenvalues, using inverse iteration.

Package LAPACK (Downloadable; Installed on ITL, ARNO)

CHSEIN
Computes specified right and/or left eigenvectors of an upper Hessenberg matrix by inverse iteration. (Computational routine.).
CSTEIN
Computes selected eigenvectors of a real symmetric tridiagonal matrix by inverse iteration. (Computational routine.).
CTREVC
Computes left and right eigenvectors of a complex upper triangular matrix. (Computational routine.).
DHSEIN
Computes specified right and/or left eigenvectors of a real upper Hessenberg matrix by inverse iteration. (Computational routine.).
DSTEIN
Computes selected eigenvectors of a real symmetric tridiagonal matrix by inverse iteration. (Computational routine.).
DTREVC
Computes left and right eigenvectors of a real upper quasi-triangular matrix. (Computational routine.).
SHSEIN
Computes specified right and/or left eigenvectors of a real upper Hessenberg matrix by inverse iteration. (Computational routine.).
SSTEIN
Computes selected eigenvectors of a real symmetric tridiagonal matrix by inverse iteration. (Computational routine.).
STREVC
Computes left and right eigenvectors of a real upper quasi-triangular matrix. (Computational routine.).
ZHSEIN
Computes specified right and/or left eigenvectors of an upper Hessenberg matrix by inverse iteration. (Computational routine.).
ZSTEIN
Computes selected eigenvectors of a real symmetric tridiagonal matrix by inverse iteration. (Computational routine.).
ZTREVC
Computes left and right eigenvectors of a complex upper triangular matrix. (Computational routine.).

Package NAG

F08JKF
Selected eigenvectors of real symmetric tridiagonal matrix by inverse iteration, storing eigenvectors in real array
F08JXF
Selected eigenvectors of real symmetric tridiagonal matrix by inverse iteration, storing eigenvectors in complex array
F08PKF
Selected right and/or left eigenvectors of real upper Hessenberg matrix by inverse iteration
F08PXF
Selected right and/or left eigenvectors of complex upper Hessenberg matrix by inverse iteration
F08QKF
Left and right eigenvectors of real upper quasi-triangular matrix
F08QXF
Left and right eigenvectors of complex upper triangular matrix

Package NAGC

f08jkc
Selected eigenvectors of real symmetric tridiagonal matrix by inverse iteration, storing eigenvectors in real array
f08jxc
Selected eigenvectors of real symmetric tridiagonal matrix by inverse iteration, storing eigenvectors in complex array
f08pkc
Selected right and/or left eigenvectors of real upper Hessenberg matrix by inverse iteration
f08pxc
Selected right and/or left eigenvectors of complex upper Hessenberg matrix by inverse iteration
f08qkc
Left and right eigenvectors of real upper quasi-triangular matrix
f08qxc
Left and right eigenvectors of complex upper triangular matrix

Package NAPACK (Downloadable)

CEVECT
Computes an eigenvector corresponding to a given eigenvalue for a complex Hessenberg matrix.
CVECT
Computes an eigenvector corresponding to a given eigenvalue for a complex matrix. NAPACK subroutine CHESS, CAHESS or CVALS must be run prior to this routine.
EVECT
Computes an eigenvector corresponding to a given eigenvalue for an upper Hessenberg matrix.
HVECT
Computes an eigenvector corresponding to a given eigenvalue for a symmetric band matrix.
PVECT
Computes an eigenvector corresponding to a given eigenvalue for a symmetric tridiagonal matrix.
SVECT
Computes an eigenvector corresponding to a given eigenvalue for a symmetric tridiagonal matrix. NAPACK subroutine SHESS must be run prior to this routine.
TVECT
Computes an eigenvector corresponding to a given eigenvalue for a tridiagonal matrix.
VECT
Computes an eigenvector corresponding to a given eigenvalue for a matrix. NAPACK subroutine HESS, AHESS or VALS must be run prior to this routine.

Package SEISPACK (Downloadable; Installed on ARNO)

BANDV
Forms eigenvectors of real symmetric band matrix associated with a set of ordered approximate eigenvalues by inverse iteration.
QZVEC
The optional fourth step of the QZ algorithm for generalized eigenproblems. Accepts a matrix in quasi-triangular form and another in upper triangular form and computes the eigenvectors of the triangular problem and transforms them back to the original coordinates. Usually preceded by QZHES, QZIT, QZVAL.
TINVIT
Eigenvectors of symmetric tridiagonal matrix corresponding to some specified eigenvalues, using inverse iteration.

Package SLATEC (Downloadable; Installed on ITL, ARNO)

BANDV
Form the eigenvectors of a real symmetric band matrix associated with a set of ordered approximate eigenvalues by inverse iteration.
QZVEC
The optional fourth step of the QZ algorithm for generalized eigenproblems. Accepts a matrix in quasi-triangular form and another in upper triangular and computes the eigenvectors of the triangular problem and transforms them back to the original coordinates Usually preceded by QZHES, QZIT, and QZVAL.
TINVIT
Compute the eigenvectors of symmetric tridiagonal matrix corresponding to specified eigenvalues, using inverse iteration.
Comments? gams@nist.gov